Pub Date : 2026-01-11DOI: 10.1016/j.cnsns.2026.109671
Ben Wu, Wei Liu
This article researches the event-triggered time-varying exponential formation control problem for second-order nonlinear multi-agent systems based on the leader-follower approach. First, a distributed event-triggered observer that does not need to rely on continuous information from neighbors’ subsystem is developed to estimate the state of the leader subsystem for every follower subsystems. Then, combining the distributed event-triggered observer and the adaptive control technology, a distributed event-triggered formation controller and a distributed event-triggered mechanism are constructed to address this problem, where the controller is completely discrete and can be executed digitally. As a result, under the proposed control strategy, formation tracking errors can converge exponentially into an arbitrarily adjustable neighborhood of the origin with an adjustable convergence rate, and the preset time-varying formation shape is guaranteed. Finally, an example of formation tracking control is performed to verify our results.
{"title":"Event-triggered time-varying exponential formation control for second-order nonlinear multi-agent systems","authors":"Ben Wu, Wei Liu","doi":"10.1016/j.cnsns.2026.109671","DOIUrl":"10.1016/j.cnsns.2026.109671","url":null,"abstract":"<div><div>This article researches the event-triggered time-varying exponential formation control problem for second-order nonlinear multi-agent systems based on the leader-follower approach. First, a distributed event-triggered observer that does not need to rely on continuous information from neighbors’ subsystem is developed to estimate the state of the leader subsystem for every follower subsystems. Then, combining the distributed event-triggered observer and the adaptive control technology, a distributed event-triggered formation controller and a distributed event-triggered mechanism are constructed to address this problem, where the controller is completely discrete and can be executed digitally. As a result, under the proposed control strategy, formation tracking errors can converge exponentially into an arbitrarily adjustable neighborhood of the origin with an adjustable convergence rate, and the preset time-varying formation shape is guaranteed. Finally, an example of formation tracking control is performed to verify our results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109671"},"PeriodicalIF":3.8,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-11DOI: 10.1016/j.cnsns.2026.109665
Haoyu Li , Leimin Wang , Weilong Zhang , Xiongbo Wan , Shiping Wen
In this paper, an improvement path for preassigned-time synchronization of T-S fuzzy neural networks is presented to optimize the energy consumption during the synchronization process. The “primary realization” method starts based on fixed-time estimation results and directly achieves the preassigned-time synchronization without the introduction of infinite gains and redesign of controller. More importantly, this paper combines energy estimation with conservatism for the first time, emphasizing the potential relationship between energy consumption and conservatism with the same control objective, i.e., continuously improving the estimated time can effectively improve the results of preassigned time synchronization (lower energy consumption as well as less conservatism). Numerical simulations validate the effectiveness of the methodology in this paper, highlighting the potential for refining the synchronization process by optimizing energy consumption and reducing conservatism.
{"title":"Novel results for preassigned-time synchronization of fuzzy neural networks with energy consumption: Primary realization approach","authors":"Haoyu Li , Leimin Wang , Weilong Zhang , Xiongbo Wan , Shiping Wen","doi":"10.1016/j.cnsns.2026.109665","DOIUrl":"10.1016/j.cnsns.2026.109665","url":null,"abstract":"<div><div>In this paper, an improvement path for preassigned-time synchronization of T-S fuzzy neural networks is presented to optimize the energy consumption during the synchronization process. The “primary realization” method starts based on fixed-time estimation results and directly achieves the preassigned-time synchronization without the introduction of infinite gains and redesign of controller. More importantly, this paper combines energy estimation with conservatism for the first time, emphasizing the potential relationship between energy consumption and conservatism with the same control objective, i.e., continuously improving the estimated time can effectively improve the results of preassigned time synchronization (lower energy consumption as well as less conservatism). Numerical simulations validate the effectiveness of the methodology in this paper, highlighting the potential for refining the synchronization process by optimizing energy consumption and reducing conservatism.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109665"},"PeriodicalIF":3.8,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study focuses on the dynamics of rumor cross-layer propagation on multi-layer coupled networks, which is different from traditional research on rumor propagation on multiplex networks. It not only considers the heterogeneity characteristics of the population, but also classifies information, and further ponders the influence of stochastic interference on rumor propagation. A more general stochastic rumor propagation model on multi-layer coupled network incorporating video and text information is established. Firstly, the existence of the unique global positive solution for the model is manifested. Subsequently, the conditions for the rumor disappearance and persistence on multi-layer coupled networks are explored via Itô’s formula and the strong law of large numbers. Finally, numerical simulations are performed to verify the reliability of the theoretical results, and a series of targeted rumor control strategies are proposed in combination with sensitivity analysis. The research results indicate that the individual social network as the middle layer plays a crucial role in the three-layer coupled network structure. Specifically, the control measures implemented for this intermediate layer can not only effectively suppress the spread of rumors within this layer, but also have a significant control effect on the spread of rumors throughout the entire network system. This discovery provides important theoretical basis and practical guidance for rumor control in multi-layer network environments.
{"title":"Stochastic dynamics of rumor cross-layer propagation on multi-layer coupled networks incorporating video and text information","authors":"Xinru Tong , Haijun Jiang , Jianlong Qiu , Xiaoqiao Xiong , Jiarong Li","doi":"10.1016/j.cnsns.2026.109707","DOIUrl":"10.1016/j.cnsns.2026.109707","url":null,"abstract":"<div><div>This study focuses on the dynamics of rumor cross-layer propagation on multi-layer coupled networks, which is different from traditional research on rumor propagation on multiplex networks. It not only considers the heterogeneity characteristics of the population, but also classifies information, and further ponders the influence of stochastic interference on rumor propagation. A more general stochastic rumor propagation model on multi-layer coupled network incorporating video and text information is established. Firstly, the existence of the unique global positive solution for the model is manifested. Subsequently, the conditions for the rumor disappearance and persistence on multi-layer coupled networks are explored via Itô’s formula and the strong law of large numbers. Finally, numerical simulations are performed to verify the reliability of the theoretical results, and a series of targeted rumor control strategies are proposed in combination with sensitivity analysis. The research results indicate that the individual social network as the middle layer plays a crucial role in the three-layer coupled network structure. Specifically, the control measures implemented for this intermediate layer can not only effectively suppress the spread of rumors within this layer, but also have a significant control effect on the spread of rumors throughout the entire network system. This discovery provides important theoretical basis and practical guidance for rumor control in multi-layer network environments.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109707"},"PeriodicalIF":3.8,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-11DOI: 10.1016/j.cnsns.2026.109706
Shuo Zhao , Zhipei Hu , Feiqi Deng , Xutao Li
In this paper, the mean-square stability and H∞ control problem for a class of randomly sampled systems with stochastic delays are concerned. Different from the existing literature, the sensor under consideration possesses the ability to gather energy from the surrounding environment, while also being constrained by the limitations of energy harvesting. If the sensor’s energy falls short of sustaining regular communication with the controller, the sampled data packets are deemed as absent. Conversely, when energy is sufficient, the sampled data packets can be successfully conveyed within the communication network. Nevertheless, data packets may be affected by stochastic delays during transmission. Given this fact, we first establish a discrete stochastic model for the randomly sampled system with energy harvesting constraints and random transmission delays. To enable the stability and H∞ performance analysis, an augmented but analyzable stochastic framework is then derived. By calculating the expectation of the indicator function representing whether the packet transmission is successful, the mean-square stability of the resulting discrete stochastic framework is analyzed. Subsequently, a stabilization controller is constructed by decoupling a nonlinear coupling matrix, guaranteeing the mean-square stability while maintaining the specified H∞ performance. Finally, the effectiveness of the proposed algorithm is validated through an aircraft control system case.
{"title":"Stabilization of randomly sampled systems with stochastic delays under energy harvesting constraints","authors":"Shuo Zhao , Zhipei Hu , Feiqi Deng , Xutao Li","doi":"10.1016/j.cnsns.2026.109706","DOIUrl":"10.1016/j.cnsns.2026.109706","url":null,"abstract":"<div><div>In this paper, the mean-square stability and <em>H</em><sub>∞</sub> control problem for a class of randomly sampled systems with stochastic delays are concerned. Different from the existing literature, the sensor under consideration possesses the ability to gather energy from the surrounding environment, while also being constrained by the limitations of energy harvesting. If the sensor’s energy falls short of sustaining regular communication with the controller, the sampled data packets are deemed as absent. Conversely, when energy is sufficient, the sampled data packets can be successfully conveyed within the communication network. Nevertheless, data packets may be affected by stochastic delays during transmission. Given this fact, we first establish a discrete stochastic model for the randomly sampled system with energy harvesting constraints and random transmission delays. To enable the stability and <em>H</em><sub>∞</sub> performance analysis, an augmented but analyzable stochastic framework is then derived. By calculating the expectation of the indicator function representing whether the packet transmission is successful, the mean-square stability of the resulting discrete stochastic framework is analyzed. Subsequently, a stabilization controller is constructed by decoupling a nonlinear coupling matrix, guaranteeing the mean-square stability while maintaining the specified <em>H</em><sub>∞</sub> performance. Finally, the effectiveness of the proposed algorithm is validated through an aircraft control system case.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109706"},"PeriodicalIF":3.8,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-10DOI: 10.1016/j.cnsns.2026.109741
Dingxiang Wang, Xu Zeng, Chao Zhou, Leyuan Wu
Memristive neural networks (MNNs) have attracted attracted considerable research interest owing to their potential applications in areas such as image encryption and secure transmission, where synchronization signals are exchanged through digital communication channels. Consequently, reducing communication load and mitigating the quantization effects inherent in digital transmission are essential for ensuring reliable synchronization performance. Motivated by these challenges, this study proposed a quantized intermittent event-triggered control scheme and investigated a novel type of synchronization model—finite-time quasi-synchronization for MNNs. First, an inhomogeneous differential inequality was established as a general lemma that is used to address the finite-time quasi-synchronization problem. Subsequently, considering resource-constrained digital communication systems, a quantized intermittent event-triggered control mechanism was developed to minimize redundant transmissions and alleviate errors caused by signal quantization. By integrating the proposed differential inequality with Lyapunov stability theory, sufficient conditions were derived to guarantee finite-time quasi-synchronization of MNNs. Explicit expressions for the synchronization error bound and the settling time are also obtained. Based on these results, an optimization framework was formulated to analyze and enhance synchronization performance. Finally, numerical simulations validated the effectiveness of the proposed approach and confirmed the theoretical analysis.
{"title":"Finite-Time Quasi-Synchronization of Memristive Neural Networks Under Quantized Intermittent Event-Triggered Control","authors":"Dingxiang Wang, Xu Zeng, Chao Zhou, Leyuan Wu","doi":"10.1016/j.cnsns.2026.109741","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109741","url":null,"abstract":"Memristive neural networks (MNNs) have attracted attracted considerable research interest owing to their potential applications in areas such as image encryption and secure transmission, where synchronization signals are exchanged through digital communication channels. Consequently, reducing communication load and mitigating the quantization effects inherent in digital transmission are essential for ensuring reliable synchronization performance. Motivated by these challenges, this study proposed a quantized intermittent event-triggered control scheme and investigated a novel type of synchronization model—finite-time quasi-synchronization for MNNs. First, an inhomogeneous differential inequality was established as a general lemma that is used to address the finite-time quasi-synchronization problem. Subsequently, considering resource-constrained digital communication systems, a quantized intermittent event-triggered control mechanism was developed to minimize redundant transmissions and alleviate errors caused by signal quantization. By integrating the proposed differential inequality with Lyapunov stability theory, sufficient conditions were derived to guarantee finite-time quasi-synchronization of MNNs. Explicit expressions for the synchronization error bound and the settling time are also obtained. Based on these results, an optimization framework was formulated to analyze and enhance synchronization performance. Finally, numerical simulations validated the effectiveness of the proposed approach and confirmed the theoretical analysis.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"1 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-10DOI: 10.1016/j.cnsns.2026.109700
Zifang Qu , Zhenbin Du , Yonggui Kao , Ju H. Park
This paper focuses on the output feedback-based dynamic event-triggered fuzzy control problem for networked systems with denial-of-service (DoS) attacks and actuator fault, ensuring the stability and desired performance. By employing interval type-2 fuzzy model, nonlinear dynamics and uncertainties are adeptly modeled. An observer is utilized to accurately reconstruct system states, which effectively compensates for data inconsistencies and losses due to network disruptions. The control strategy revolves around a dynamic event-triggered mechanism that optimizes control signal transmissions and conserves the bandwidths under DoS attacks and actuator fault. Different from the existing works, the designed Lyapunov-Krasovskii functional (LKF) takes full advantage of sampling characteristics to obtain the relaxed result. Simulation results and animation display demonstrate the effectiveness of this method in maintaining system stability and performance, even in the face of actuator fault and security threats, validating its applicability in networked systems.
{"title":"Dynamic event-triggered fuzzy control for networked systems with denial-of-service attacks and actuator fault via output feedback","authors":"Zifang Qu , Zhenbin Du , Yonggui Kao , Ju H. Park","doi":"10.1016/j.cnsns.2026.109700","DOIUrl":"10.1016/j.cnsns.2026.109700","url":null,"abstract":"<div><div>This paper focuses on the output feedback-based dynamic event-triggered fuzzy control problem for networked systems with denial-of-service (DoS) attacks and actuator fault, ensuring the stability and desired performance. By employing interval type-2 fuzzy model, nonlinear dynamics and uncertainties are adeptly modeled. An observer is utilized to accurately reconstruct system states, which effectively compensates for data inconsistencies and losses due to network disruptions. The control strategy revolves around a dynamic event-triggered mechanism that optimizes control signal transmissions and conserves the bandwidths under DoS attacks and actuator fault. Different from the existing works, the designed Lyapunov-Krasovskii functional (LKF) takes full advantage of sampling characteristics to obtain the relaxed result. Simulation results and animation display demonstrate the effectiveness of this method in maintaining system stability and performance, even in the face of actuator fault and security threats, validating its applicability in networked systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109700"},"PeriodicalIF":3.8,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-10DOI: 10.1016/j.cnsns.2026.109720
Chenglin Han , Kaiyu Qin , Weihao Li , Boxian Lin , Mengji Shi
This paper investigates the predefined-time distributed resilient practical tracking problem for nonlinear networked agent systems (NASs) under false data injection (FDI) attacks. A predefined-time resilient tracking control scheme is developed, which is composed of a distributed false data observer and a backstepping method based anti-attack tracking control protocol. Predefined-time parameters take effect in both the distributed observer and the tracking control protocol, such that the false data estimation errors and the tracking errors converge to residual sets within the preset time, respectively. Through the effective integration of the observer and the tracking control protocol, the proposed predefined-time resilient tracking control scheme can guarantee the tracking effectiveness and strengthen the timeliness and robustness of the networked agent system. The tracking control scheme is rigorously demonstrated using Lyapunov stability theory. The efficacy of the proposed tracking strategy is substantiated through simulation examples.
{"title":"Predefined time distributed resilient practical tracking of networked agent systems against FDI attacks","authors":"Chenglin Han , Kaiyu Qin , Weihao Li , Boxian Lin , Mengji Shi","doi":"10.1016/j.cnsns.2026.109720","DOIUrl":"10.1016/j.cnsns.2026.109720","url":null,"abstract":"<div><div>This paper investigates the predefined-time distributed resilient practical tracking problem for nonlinear networked agent systems (NASs) under false data injection (FDI) attacks. A predefined-time resilient tracking control scheme is developed, which is composed of a distributed false data observer and a backstepping method based anti-attack tracking control protocol. Predefined-time parameters take effect in both the distributed observer and the tracking control protocol, such that the false data estimation errors and the tracking errors converge to residual sets within the preset time, respectively. Through the effective integration of the observer and the tracking control protocol, the proposed predefined-time resilient tracking control scheme can guarantee the tracking effectiveness and strengthen the timeliness and robustness of the networked agent system. The tracking control scheme is rigorously demonstrated using Lyapunov stability theory. The efficacy of the proposed tracking strategy is substantiated through simulation examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109720"},"PeriodicalIF":3.8,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-10DOI: 10.1016/j.cnsns.2026.109695
Xingyue Liu , Kaibo Shi , Zixiao Tang , Ming Zhu , Shiping Wen
This paper studies the stability and the intelligent event-triggered control (IETC) problem for the T-S fuzzy load frequency control (LFC) power system. Firstly, different methods are adopted to model various nonlinear factors in the LFC power system. Due to the influx of electric vehicles (EVs), the nonlinearity of the charging state characteristics needs to be considered in the LFC system modeling. Thus, the gain of EVs is treated as a time-varying function based on the change of the state of charge (SOC). Meanwhile, the nonlinearity of the valve position of the steam turbine is modeled using the T-S fuzzy theory. In summary, a T-S fuzzy LFC system model containing uncertainties is established. Secondly, an intelligent event-triggered mechanism (IETM) based on the grey wolf optimization (GWO) algorithm is developed. Furthermore, an IETC integrating the proposed IETM is established. The GWO algorithm is used to find the optimal triggering parameter of IETC to achieve both optimal bandwidth resource utilization and system state stability. In addition, the novel delay segmentation set-dependent Lyapunov-Krasovskii functionals (LKFs) are constructed to reduce the conservativeness of the results. Finally, the superiority of the proposed stability criterion and the effectiveness of the IETC are demonstrated by some case studies.
{"title":"Stability analysis and intelligent event-triggering control for T-S fuzzy LFC power system based on grey wolf optimization algorithm","authors":"Xingyue Liu , Kaibo Shi , Zixiao Tang , Ming Zhu , Shiping Wen","doi":"10.1016/j.cnsns.2026.109695","DOIUrl":"10.1016/j.cnsns.2026.109695","url":null,"abstract":"<div><div>This paper studies the stability and the intelligent event-triggered control (IETC) problem for the T-S fuzzy load frequency control (LFC) power system. Firstly, different methods are adopted to model various nonlinear factors in the LFC power system. Due to the influx of electric vehicles (EVs), the nonlinearity of the charging state characteristics needs to be considered in the LFC system modeling. Thus, the gain of EVs is treated as a time-varying function based on the change of the state of charge (SOC). Meanwhile, the nonlinearity of the valve position of the steam turbine is modeled using the T-S fuzzy theory. In summary, a T-S fuzzy LFC system model containing uncertainties is established. Secondly, an intelligent event-triggered mechanism (IETM) based on the grey wolf optimization (GWO) algorithm is developed. Furthermore, an IETC integrating the proposed IETM is established. The GWO algorithm is used to find the optimal triggering parameter of IETC to achieve both optimal bandwidth resource utilization and system state stability. In addition, the novel delay segmentation set-dependent Lyapunov-Krasovskii functionals (LKFs) are constructed to reduce the conservativeness of the results. Finally, the superiority of the proposed stability criterion and the effectiveness of the IETC are demonstrated by some case studies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109695"},"PeriodicalIF":3.8,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-10DOI: 10.1016/j.cnsns.2026.109712
Yujie Bi, Xindong Si, Zhen Wang
The article discusses the exponential stabilization issue of chaotic Lur’e systems suffering from replay attacks. To eliminate the effects of replay attacks, prevent communication congestion and reduce energy consumption, the intermittent sampled-data control scheme is firstly introduced. Then, to obtain two exponential stabilization criteria based on Lyapunov stability theory and inequality techniques, two interval dependent Lyapunov functionals are derived from the mathematical properties of replay attacks. In addition, to obtain the maximum allowable replay attack rate, an algorithm is carried out. Finally, to verify the effectiveness of interval dependent Lyapunov functionals, two numerical simulation examples are utilized.
{"title":"Intermittent sampled-data control for exponential stabilization of chaotic Lur’e systems under replay attacks","authors":"Yujie Bi, Xindong Si, Zhen Wang","doi":"10.1016/j.cnsns.2026.109712","DOIUrl":"10.1016/j.cnsns.2026.109712","url":null,"abstract":"<div><div>The article discusses the exponential stabilization issue of chaotic Lur’e systems suffering from replay attacks. To eliminate the effects of replay attacks, prevent communication congestion and reduce energy consumption, the intermittent sampled-data control scheme is firstly introduced. Then, to obtain two exponential stabilization criteria based on Lyapunov stability theory and inequality techniques, two interval dependent Lyapunov functionals are derived from the mathematical properties of replay attacks. In addition, to obtain the maximum allowable replay attack rate, an algorithm is carried out. Finally, to verify the effectiveness of interval dependent Lyapunov functionals, two numerical simulation examples are utilized.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109712"},"PeriodicalIF":3.8,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-10DOI: 10.1016/j.cnsns.2026.109692
Yan Yao , Jieqing Tan , Yangang Yao , Peng Chen
This paper proposes a unified adaptive fuzzy control approach for input saturated stochastic nonlinear systems (SNS) with multi-type constraints. Existing control methods typically require constraints to be continuous, which often differs from practical constraints. The “multiple types of constraints” studied in this article are mainly divided into four typical categories: full-state constraints (limiting the entire state space of the system), unconstrained situations (the basic situation without any constraint conditions), interval constraints (limiting the variables within a specified range), and performance constraints (ensuring that the system performance meets the preset requirements). By incorporating an auxiliary function, a unified mapping function is devised to address multi-type constraints without requiring the feasibility condition (FC). Moreover, to tackle the input saturation problem, a dual-power nonlinear feedback auxiliary subsystem is constructed, which employs a dual-regulation mechanism characterized by “strong feedback for small errors and fast decay for large errors” to overcome the convergence speed degradation problem in traditional approaches. And leveraging predefined-time stability theory and fuzzy logic systems (FLS), the proposed strategy can preset the stabilization time independent on initial states and control parameters, strictly adhere to constraints and effectively reduce the adverse effects of input saturation nonlinearity. Simulation results demonstrate the effectiveness and superiority of the proposed method.
{"title":"Unified adaptive fuzzy control for input saturated stochastic nonlinear systems with multi-type constraints","authors":"Yan Yao , Jieqing Tan , Yangang Yao , Peng Chen","doi":"10.1016/j.cnsns.2026.109692","DOIUrl":"10.1016/j.cnsns.2026.109692","url":null,"abstract":"<div><div>This paper proposes a unified adaptive fuzzy control approach for input saturated stochastic nonlinear systems (SNS) with multi-type constraints. Existing control methods typically require constraints to be continuous, which often differs from practical constraints. The “multiple types of constraints” studied in this article are mainly divided into four typical categories: full-state constraints (limiting the entire state space of the system), unconstrained situations (the basic situation without any constraint conditions), interval constraints (limiting the variables within a specified range), and performance constraints (ensuring that the system performance meets the preset requirements). By incorporating an auxiliary function, a unified mapping function is devised to address multi-type constraints without requiring the feasibility condition (FC). Moreover, to tackle the input saturation problem, a dual-power nonlinear feedback auxiliary subsystem is constructed, which employs a dual-regulation mechanism characterized by “strong feedback for small errors and fast decay for large errors” to overcome the convergence speed degradation problem in traditional approaches. And leveraging predefined-time stability theory and fuzzy logic systems (FLS), the proposed strategy can preset the stabilization time independent on initial states and control parameters, strictly adhere to constraints and effectively reduce the adverse effects of input saturation nonlinearity. Simulation results demonstrate the effectiveness and superiority of the proposed method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"156 ","pages":"Article 109692"},"PeriodicalIF":3.8,"publicationDate":"2026-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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