Pub Date : 2025-11-29DOI: 10.1016/j.amc.2025.129871
Linshu Pan, Huifang Liu, Zemin Jin
A graph is called rainbow if any two edges in it are assigned distinct colors. Given two graphs K and G, the anti-Ramsey number, say AR(K, G), is the largest color number in an edge coloring of K without rainbow G. Denote by 4-cycles in a multipartite graph whose vertices come from exactly k different partite sets. In this paper we obtains the value of for .
{"title":"Rainbow multipartite C4 in 4-partite graphs","authors":"Linshu Pan, Huifang Liu, Zemin Jin","doi":"10.1016/j.amc.2025.129871","DOIUrl":"10.1016/j.amc.2025.129871","url":null,"abstract":"<div><div>A graph is called <em>rainbow</em> if any two edges in it are assigned distinct colors. Given two graphs <em>K</em> and <em>G</em>, the anti-Ramsey number, say <em>AR</em>(<em>K, G</em>), is the largest color number in an edge coloring of <em>K</em> without rainbow <em>G</em>. Denote by <span><math><msubsup><mi>C</mi><mrow><mn>4</mn></mrow><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></msubsup></math></span> 4-cycles in a multipartite graph whose vertices come from exactly <em>k</em> different partite sets. In this paper we obtains the value of <span><math><mrow><mi>A</mi><mi>R</mi><mo>(</mo><msub><mi>K</mi><mrow><msub><mi>n</mi><mn>1</mn></msub><mo>,</mo><msub><mi>n</mi><mn>2</mn></msub><mo>,</mo><msub><mi>n</mi><mn>3</mn></msub><mo>,</mo><msub><mi>n</mi><mn>4</mn></msub></mrow></msub><mo>,</mo><msubsup><mi>C</mi><mrow><mn>4</mn></mrow><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></msubsup><mo>)</mo></mrow></math></span> for <span><math><mrow><mi>k</mi><mo>=</mo><mn>3</mn><mo>,</mo><mn>4</mn></mrow></math></span>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"516 ","pages":"Article 129871"},"PeriodicalIF":3.4,"publicationDate":"2025-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145613989","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 : 2025-11-29DOI: 10.1016/j.amc.2025.129845
K. Mathiyalagan, A. Vignesh
The estimation of stability region for nonlinear systems are evolved into a significant research topic of literature with a variety of perspectives during the few decades. The purpose of this article is to provide a comprehensive review of the research carried out on the stability region of nonlinear systems including deterministic and stochastic systems. The methodologies for computation of stability region of nonlinear systems are briefly described and also some features, advantages and drawbacks of the proposed methods are detailed. Since stability region of nonlinear systems are important in practice, a survey of the results on stability region of nonlinear systems are useful for the researchers. Furthermore, a thorough review of around 252 articles published from 1960 to 2025 are discussed with bibliometric analysis. Finally, concluding remarks and some future directions on stability region analysis of nonlinear systems are given.
{"title":"A Review on estimation of stability region for nonlinear systems","authors":"K. Mathiyalagan, A. Vignesh","doi":"10.1016/j.amc.2025.129845","DOIUrl":"10.1016/j.amc.2025.129845","url":null,"abstract":"<div><div>The estimation of stability region for nonlinear systems are evolved into a significant research topic of literature with a variety of perspectives during the few decades. The purpose of this article is to provide a comprehensive review of the research carried out on the stability region of nonlinear systems including deterministic and stochastic systems. The methodologies for computation of stability region of nonlinear systems are briefly described and also some features, advantages and drawbacks of the proposed methods are detailed. Since stability region of nonlinear systems are important in practice, a survey of the results on stability region of nonlinear systems are useful for the researchers. Furthermore, a thorough review of around 252 articles published from 1960 to 2025 are discussed with bibliometric analysis. Finally, concluding remarks and some future directions on stability region analysis of nonlinear systems are given.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"516 ","pages":"Article 129845"},"PeriodicalIF":3.4,"publicationDate":"2025-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145613964","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 : 2025-11-26DOI: 10.1016/j.amc.2025.129865
Qingqing Wang , Yixian Fang , Kewen Li , Yongming Li
This article investigates the issue of the distributed fuzzy adaptive secured control for heterogeneous vehicle platoon systems (HVPS) with dynamic leaders under input saturation and denial-of-service (DoS) attacks. Then, the unknown nonlinear dynamics are approximated using fuzzy logic systems (FLSs), by introducing the compensation signal, a distributed fuzzy adaptive secure platoon controller is designed based on the Lyapunov stability theory, the developed secure control method can ensure all signals in the closed-loop system are bounded and the tracking errors converge to a small neighborhood of the zero. Finally, the effectiveness of the proposed secure control method and theory can be validated by simulation results.
{"title":"Distributed fuzzy adaptive secured control for heterogeneous vehicle platoons under denial-of-Service attacks","authors":"Qingqing Wang , Yixian Fang , Kewen Li , Yongming Li","doi":"10.1016/j.amc.2025.129865","DOIUrl":"10.1016/j.amc.2025.129865","url":null,"abstract":"<div><div>This article investigates the issue of the distributed fuzzy adaptive secured control for heterogeneous vehicle platoon systems (HVPS) with dynamic leaders under input saturation and denial-of-service (DoS) attacks. Then, the unknown nonlinear dynamics are approximated using fuzzy logic systems (FLSs), by introducing the compensation signal, a distributed fuzzy adaptive secure platoon controller is designed based on the Lyapunov stability theory, the developed secure control method can ensure all signals in the closed-loop system are bounded and the tracking errors converge to a small neighborhood of the zero. Finally, the effectiveness of the proposed secure control method and theory can be validated by simulation results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"515 ","pages":"Article 129865"},"PeriodicalIF":3.4,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145598932","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 : 2025-11-26DOI: 10.1016/j.amc.2025.129863
Xiaozhou Feng , Yang Lei , Fei Xie , Changtong Li , Yuzhen Wang , Xiaojia Wang , Tingting Li
This paper investigates a time-delayed fractional SIR epidemic model incorporating a saturated incidence rate. First, the existence of endemic equilibria is investigated under different conditions, and the basic reproduction number is calculated utilizing the next-generation matrix method. Then, the global and local asymptotic stability of equilibrium points are analyzed. For the time delay , global asymptotic stability conditions are obtained by constructing a Lyapunov function. Finally, through Hopf bifurcation analysis, the influence of the fractional order on the system’s dynamic behavior is discussed. This study provides epidemiological insights that inform practical measures for managing infectious disease outbreaks: (i) During the initial epidemic stage, it is crucial to minimize the response delay to prevent exceeding the critical bifurcation threshold; (ii) The stability of epidemic containment systems can be significantly enhanced by adjusting the fractional order appropriately.
{"title":"Stability analysis and Hopf bifurcation in a time-delayed fractional epidemic model","authors":"Xiaozhou Feng , Yang Lei , Fei Xie , Changtong Li , Yuzhen Wang , Xiaojia Wang , Tingting Li","doi":"10.1016/j.amc.2025.129863","DOIUrl":"10.1016/j.amc.2025.129863","url":null,"abstract":"<div><div>This paper investigates a time-delayed fractional SIR epidemic model incorporating a saturated incidence rate. First, the existence of endemic equilibria is investigated under different conditions, and the basic reproduction number is calculated utilizing the next-generation matrix method. Then, the global and local asymptotic stability of equilibrium points are analyzed. For the time delay <span><math><mrow><mi>τ</mi><mo>=</mo><mn>0</mn></mrow></math></span>, global asymptotic stability conditions are obtained by constructing a Lyapunov function. Finally, through Hopf bifurcation analysis, the influence of the fractional order on the system’s dynamic behavior is discussed. This study provides epidemiological insights that inform practical measures for managing infectious disease outbreaks: (i) During the initial epidemic stage, it is crucial to minimize the response delay to prevent exceeding the critical bifurcation threshold; (ii) The stability of epidemic containment systems can be significantly enhanced by adjusting the fractional order appropriately.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"515 ","pages":"Article 129863"},"PeriodicalIF":3.4,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145598933","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 : 2025-11-25DOI: 10.1016/j.amc.2025.129862
Huaihe Huang , Ye Ye , Wei Bao , Yue Zhang , Nenggang Xie
In evolutionary game theory, zero-determinant (ZD) strategies have become a breakthrough in the study of the Prisoner’s Dilemma due to their ability to unilaterally control payoffs. However, traditional ZD strategies—such as extortion (E) and generosity (G) strategies—suffer from imbalanced interests and limited adaptability. This paper proposes a dynamically switching PERG strategy (Poverty-Extortion, Richness-Generosity), which adaptively switches between E and G based on state-dependent mechanisms to balance the payoffs of both parties. By constructing a seven-strategy model including PERG, TFT, WSLS, E, G, C, and D, we systematically reveal the evolutionary dynamics in well-mixed populations, synthetic networks, and real-world networks. Computational simulations show that in well-mixed populations, benevolent strategies like PERG have evolutionary advantages. Smaller extortion and generosity factors can suppress the spread of the D strategy, and lower cooperation costs may weaken the incentive effect of payoffs on cooperation. In synthetic networks and real-world networks, PERG, WSLS, and G strategies rapidly invade other strategies. The benefit parameter has little impact on the distribution of dominant strategies in synthetic networks, and in BA scale-free networks, the proportion of the PERG strategy shows an upward or downward trend as specific parameters change.
{"title":"An evolutionary game analysis of a dynamically switching zero-determinant strategy","authors":"Huaihe Huang , Ye Ye , Wei Bao , Yue Zhang , Nenggang Xie","doi":"10.1016/j.amc.2025.129862","DOIUrl":"10.1016/j.amc.2025.129862","url":null,"abstract":"<div><div>In evolutionary game theory, zero-determinant (ZD) strategies have become a breakthrough in the study of the Prisoner’s Dilemma due to their ability to unilaterally control payoffs. However, traditional ZD strategies—such as extortion (E) and generosity (G) strategies—suffer from imbalanced interests and limited adaptability. This paper proposes a dynamically switching PERG strategy (Poverty-Extortion, Richness-Generosity), which adaptively switches between E and G based on state-dependent mechanisms to balance the payoffs of both parties. By constructing a seven-strategy model including PERG, TFT, WSLS, E, G, C, and D, we systematically reveal the evolutionary dynamics in well-mixed populations, synthetic networks, and real-world networks. Computational simulations show that in well-mixed populations, benevolent strategies like PERG have evolutionary advantages. Smaller extortion and generosity factors can suppress the spread of the D strategy, and lower cooperation costs may weaken the incentive effect of payoffs on cooperation. In synthetic networks and real-world networks, PERG, WSLS, and G strategies rapidly invade other strategies. The benefit parameter has little impact on the distribution of dominant strategies in synthetic networks, and in BA scale-free networks, the proportion of the PERG strategy shows an upward or downward trend as specific parameters change.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"515 ","pages":"Article 129862"},"PeriodicalIF":3.4,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145598936","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 : 2025-11-25DOI: 10.1016/j.amc.2025.129819
Yan-Jiao Liu, Jian-Hua Yin
The maximum number of copies of a complete subgraph Ks in any H-free graph on n vertices is defined to be the generalized Turán number ex(n, Ks, H). Let the disjoint union of k copies of Sℓ be denoted kSℓ, where Sℓ is the star graph with vertices. For ℓ ≥ 1 and n ≥ 1, Gan et al. and Chase determined ex(n, Ks, Sℓ) for s ≥ 3, Liu and Yin determined ex(n, Ks, 2Sℓ) for s ≥ 4 and ex(n, Ks, 3Sℓ) for s ≥ 5. In this paper, we further determine ex(n, Ks, 4Sℓ) for all s ≥ 6.
{"title":"The generalized Turán number of 4Sℓ","authors":"Yan-Jiao Liu, Jian-Hua Yin","doi":"10.1016/j.amc.2025.129819","DOIUrl":"10.1016/j.amc.2025.129819","url":null,"abstract":"<div><div>The maximum number of copies of a complete subgraph <em>K<sub>s</sub></em> in any <em>H</em>-free graph on <em>n</em> vertices is defined to be the generalized Turán number <em>ex</em>(<em>n, K<sub>s</sub>, H</em>). Let the disjoint union of <em>k</em> copies of <em>S</em><sub>ℓ</sub> be denoted <em>kS</em><sub>ℓ</sub>, where <em>S</em><sub>ℓ</sub> is the star graph with <span><math><mrow><mi>ℓ</mi><mo>+</mo><mn>1</mn></mrow></math></span> vertices. For ℓ ≥ 1 and <em>n</em> ≥ 1, Gan et al. and Chase determined <em>ex</em>(<em>n, K<sub>s</sub>, S</em><sub>ℓ</sub>) for <em>s</em> ≥ 3, Liu and Yin determined <em>ex</em>(<em>n, K<sub>s</sub></em>, 2<em>S</em><sub>ℓ</sub>) for <em>s</em> ≥ 4 and <em>ex</em>(<em>n, K<sub>s</sub></em>, 3<em>S</em><sub>ℓ</sub>) for <em>s</em> ≥ 5. In this paper, we further determine <em>ex</em>(<em>n, K<sub>s</sub></em>, 4<em>S</em><sub>ℓ</sub>) for all <em>s</em> ≥ 6.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"515 ","pages":"Article 129819"},"PeriodicalIF":3.4,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592978","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}
The problem of arc rotation operations to improve the consensus convergence rate of multi-agent systems with strongly connected directed graphs as follower interaction topologies is considered in this paper. For fixing the head of a fixed arc and rotating the arc, some necessary and sufficient conditions are provided for effective arc rotation. In the case of arc rotation where the tail of the arc is fixed, some necessary conditions for effective arc rotation have been presented. In the case where the interaction topology of a multi-agent system can be divided into blocks with equal row sums through a layer-by-layer partitioning approach, if the head of the rotating arc is fixed, then the effective arc rotation operation can be determined by the tail layers of the arc. If the tail of the arc is fixed, the effective arc rotation operation can be determined by the head and tail layers of the arc. Ultimately, several numerical experiments are carried out to confirm the validity of the theoretical results.
{"title":"The role of arc rotation on improving consensus convergence rate for a leader-follower multi-agent system","authors":"Shanshan Gao , Shenggui Zhang , Chao Ping , Xinzhuang Chen","doi":"10.1016/j.amc.2025.129843","DOIUrl":"10.1016/j.amc.2025.129843","url":null,"abstract":"<div><div>The problem of arc rotation operations to improve the consensus convergence rate of multi-agent systems with strongly connected directed graphs as follower interaction topologies is considered in this paper. For fixing the head of a fixed arc and rotating the arc, some necessary and sufficient conditions are provided for effective arc rotation. In the case of arc rotation where the tail of the arc is fixed, some necessary conditions for effective arc rotation have been presented. In the case where the interaction topology of a multi-agent system can be divided into blocks with equal row sums through a layer-by-layer partitioning approach, if the head of the rotating arc is fixed, then the effective arc rotation operation can be determined by the tail layers of the arc. If the tail of the arc is fixed, the effective arc rotation operation can be determined by the head and tail layers of the arc. Ultimately, several numerical experiments are carried out to confirm the validity of the theoretical results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"514 ","pages":"Article 129843"},"PeriodicalIF":3.4,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592982","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 proposes an innovative switching ET (event-triggered) control framework for parabolic partial differential equation (PDE) systems under dual uncertainties from unknown dynamics and external disturbances. First, a dual-scale decomposition integrating multilayer neural networks and Galerkin spectral methods to decouple PDE dynamics into relatively accurate slow/fast subsystems and enable model-free nonlinearity identification via Levenberg-Marquardt algorithm. Second, a dwell-time-regulated switching ET mechanism significantly reducing communication frequency compared to conventional periodic sampling or static ET while guaranteeing to avoid Zeno behavior through time-domain constraints. Third, sub-optimal H∞ performance is achieved via an iterative algorithm based on the alternating optimization of convex linear matrix inequality subproblems. Finally, validated through two numerical simulations: catalytic reactor and traffic flow, the framework establishes a new paradigm for industrial thermal-chemical processes requiring reliability under communication constraints.
{"title":"Switching event-triggered control of nonlinear parabolic PDE systems via Galerkin/neural-network-based modeling approach","authors":"Xiaoyu Sun , Chuan Zhang , Huai-Ning Wu , Xianfu Zhang","doi":"10.1016/j.amc.2025.129833","DOIUrl":"10.1016/j.amc.2025.129833","url":null,"abstract":"<div><div>This study proposes an innovative switching ET (event-triggered) control framework for parabolic partial differential equation (PDE) systems under dual uncertainties from unknown dynamics and external disturbances. First, a dual-scale decomposition integrating multilayer neural networks and Galerkin spectral methods to decouple PDE dynamics into relatively accurate slow/fast subsystems and enable model-free nonlinearity identification via Levenberg-Marquardt algorithm. Second, a dwell-time-regulated switching ET mechanism significantly reducing communication frequency compared to conventional periodic sampling or static ET while guaranteeing to avoid Zeno behavior through time-domain constraints. Third, sub-optimal <em>H</em><sub>∞</sub> performance is achieved via an iterative algorithm based on the alternating optimization of convex linear matrix inequality subproblems. Finally, validated through two numerical simulations: catalytic reactor and traffic flow, the framework establishes a new paradigm for industrial thermal-chemical processes requiring reliability under communication constraints.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"515 ","pages":"Article 129833"},"PeriodicalIF":3.4,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592981","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 : 2025-11-22DOI: 10.1016/j.amc.2025.129853
Qiufu Wang, Zhanshan Wang, Tianyuan Jia
This paper investigates the finite-time bipartite consensus (FTBC) for nonlinear multi-agent systems (MASs) with input saturation and noncooperative leader, where the leader’s input is not obtainable for followers. Firstly, to ensure that followers can obtain the leader state, a distributed adaptive bipartite leader state estimator (DABLSE) is proposed based on the estimation of leader’s input bound. This method overcomes the limitation of requiring knowledge of leader’s input bound for all followers and relaxes the constraint on leader’s input. Then, a smooth approximation function is applied to handle the input saturation in MASs. Subsequently, for achieving FTBC of MASs, a new adaptive controller is designed based on DABLSE by introducing sign vector and hyperbolic tangent function of error. This design reduces the controller chattering caused by direct compensation using the error’s sign vector in existing literature. Finally, the effectiveness of proposed FTBC strategy is validated by a simulation.
{"title":"DABLSE-based adaptive finite-time bipartite consensus for multi-agent systems with noncooperative leader","authors":"Qiufu Wang, Zhanshan Wang, Tianyuan Jia","doi":"10.1016/j.amc.2025.129853","DOIUrl":"10.1016/j.amc.2025.129853","url":null,"abstract":"<div><div>This paper investigates the finite-time bipartite consensus (FTBC) for nonlinear multi-agent systems (MASs) with input saturation and noncooperative leader, where the leader’s input is not obtainable for followers. Firstly, to ensure that followers can obtain the leader state, a distributed adaptive bipartite leader state estimator (DABLSE) is proposed based on the estimation of leader’s input bound. This method overcomes the limitation of requiring knowledge of leader’s input bound for all followers and relaxes the constraint on leader’s input. Then, a smooth approximation function is applied to handle the input saturation in MASs. Subsequently, for achieving FTBC of MASs, a new adaptive controller is designed based on DABLSE by introducing sign vector and hyperbolic tangent function of error. This design reduces the controller chattering caused by direct compensation using the error’s sign vector in existing literature. Finally, the effectiveness of proposed FTBC strategy is validated by a simulation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"515 ","pages":"Article 129853"},"PeriodicalIF":3.4,"publicationDate":"2025-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145575487","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 : 2025-11-22DOI: 10.1016/j.amc.2025.129851
Ting-Ting Pan, Jun Xiong
This paper proposes a fault-tolerant control method for electric vehicles (EVs) lateral dynamics fuzzy system that considers dynamic quantization, deception attack, and actuator fault, which improves the lateral stability and handling performance of the EVs. Considering the nonlinear variations of vehicle longitudinal speed, total mass, and moment of inertia about the yaw axis, a Takagi–Sugeno (T–S) fuzzy model is used to describe the EV lateral system, with norm-bounded uncertain parameters. A one-step design scheme for dynamic quantizers and fuzzy controller is provided, enabling the sideslip angle and the yaw rate to follow the reference output and satisfy the and – performance, respectively. Finally, the CarSim is introduced to simulate the actual vehicle system state, and a co-simulation with MATLAB/Simulink is conducted to verify the effectiveness of the proposed design scheme.
{"title":"Fault-tolerant control of EVs lateral dynamics with deception attack and multi-channel dynamic quantization","authors":"Ting-Ting Pan, Jun Xiong","doi":"10.1016/j.amc.2025.129851","DOIUrl":"10.1016/j.amc.2025.129851","url":null,"abstract":"<div><div>This paper proposes a fault-tolerant control method for electric vehicles (EVs) lateral dynamics fuzzy system that considers dynamic quantization, deception attack, and actuator fault, which improves the lateral stability and handling performance of the EVs. Considering the nonlinear variations of vehicle longitudinal speed, total mass, and moment of inertia about the yaw axis, a Takagi–Sugeno (T–S) fuzzy model is used to describe the EV lateral system, with norm-bounded uncertain parameters. A one-step design scheme for dynamic quantizers and fuzzy controller is provided, enabling the sideslip angle and the yaw rate to follow the reference output and satisfy the <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> and <span><math><msub><mi>L</mi><mn>2</mn></msub></math></span>–<span><math><msub><mi>L</mi><mi>∞</mi></msub></math></span> performance, respectively. Finally, the CarSim is introduced to simulate the actual vehicle system state, and a co-simulation with MATLAB/Simulink is conducted to verify the effectiveness of the proposed design scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"514 ","pages":"Article 129851"},"PeriodicalIF":3.4,"publicationDate":"2025-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145567377","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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