Pub Date : 2025-02-01DOI: 10.1016/j.jfranklin.2025.107544
Xingyi Li , Xin Liu , Jiliang Zhang , Jun Wang , Shanghui Li , Zi Yuan , Gaofeng Pan
In this paper, physical-layer security performance for a multi-relaying based satellite-free-space optical network, which consists of a single-antenna satellite source (S), M (M ) relays (R) with each equipping with (L ) receiving antennas and a photo-aperture transmitter with N (N ) lasers, a single-aperture destination (D) and a single-aperture eavesdropper (E), is evaluated. Specifically, a relay, which first adopts a maximum ratio combining protocol to process the received signals from S and then transforms the decoded signal into an optical one before transmitting it to D with a transmit aperture selection scheme, is selected based on a general K-th best relay selection criteria to assist the information forwarding. Additionally, the probability density functions and cumulative distribution functions of the instantaneous signal-to-noise ratio at R and D are formatted, serving as the foundation for deriving both analytical and asymptotic expressions of the lower bound of secrecy outage probability. Finally, the accuracy of those derived expressions is validated through Monte-Carlo simulations.
{"title":"Secrecy performance for a multi-relaying SIMO-satellite/MISO-FSO network","authors":"Xingyi Li , Xin Liu , Jiliang Zhang , Jun Wang , Shanghui Li , Zi Yuan , Gaofeng Pan","doi":"10.1016/j.jfranklin.2025.107544","DOIUrl":"10.1016/j.jfranklin.2025.107544","url":null,"abstract":"<div><div>In this paper, physical-layer security performance for a multi-relaying based satellite-free-space optical network, which consists of a single-antenna satellite source (S), <em>M</em> (<em>M</em> <span><math><mrow><mo>≥</mo><mn>1</mn></mrow></math></span>) relays (R) with each equipping with <span><math><mi>L</mi></math></span> (<em>L</em> <span><math><mrow><mo>≥</mo><mn>1</mn></mrow></math></span>) receiving antennas and a photo-aperture transmitter with <em>N</em> (<em>N</em> <span><math><mrow><mo>≥</mo><mn>1</mn></mrow></math></span>) lasers, a single-aperture destination (D) and a single-aperture eavesdropper (E), is evaluated. Specifically, a relay, which first adopts a maximum ratio combining protocol to process the received signals from S and then transforms the decoded signal into an optical one before transmitting it to D with a transmit aperture selection scheme, is selected based on a general <em>K</em>-th best relay selection criteria to assist the information forwarding. Additionally, the probability density functions and cumulative distribution functions of the instantaneous signal-to-noise ratio at R and D are formatted, serving as the foundation for deriving both analytical and asymptotic expressions of the lower bound of secrecy outage probability. Finally, the accuracy of those derived expressions is validated through Monte-Carlo simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107544"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-01DOI: 10.1016/j.jfranklin.2025.107527
Jiewen Pang , Junxing Zhang , Menghan Li , Shaoyang Li
This paper improves the design methodology of the permanent magnet synchronous motor (PMSM) controller by using different approaches. First, it introduces bounded time-varying filter gains. It integrates time-varying command filters into the controller design of PMSMs for the first time to optimize the system's filtering capability. Second, this paper presents a fixed-time asymmetric prescribed performance control (PPC) strategy to limit the output response of the PMSM to a specific asymmetric district and uses a prescribed time convergence function to raise the convergence speed. Finally, introducing disturbance observer (DOB) and Lyapunov-Krasovskii functions to compensate for external load disturbances and time delays improves the system's robustness. In summary, the novelties of this paper are to utilize these improvements to PMSM control, making the proposed time-varying command filters-based neural adaptive control (CFNAC) method closer to the practical situation.
{"title":"Time-varying command filters-based neural adaptive control with fixed-time prescribed performance for the PMSM with external disturbance and time delays","authors":"Jiewen Pang , Junxing Zhang , Menghan Li , Shaoyang Li","doi":"10.1016/j.jfranklin.2025.107527","DOIUrl":"10.1016/j.jfranklin.2025.107527","url":null,"abstract":"<div><div>This paper improves the design methodology of the permanent magnet synchronous motor (PMSM) controller by using different approaches. First, it introduces bounded time-varying filter gains. It integrates time-varying command filters into the controller design of PMSMs for the first time to optimize the system's filtering capability. Second, this paper presents a fixed-time asymmetric prescribed performance control (PPC) strategy to limit the output response of the PMSM to a specific asymmetric district and uses a prescribed time convergence function to raise the convergence speed. Finally, introducing disturbance observer (DOB) and Lyapunov-Krasovskii functions to compensate for external load disturbances and time delays improves the system's robustness. In summary, the novelties of this paper are to utilize these improvements to PMSM control, making the proposed time-varying command filters-based neural adaptive control (CFNAC) method closer to the practical situation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107527"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper studies disturbance-observer-based dynamic sliding mode controller design for trajectory tracking control of ball screw drive systems with matched and mismatched disturbances. Specifically, a unified observer is constructed to estimate the state and disturbance of the ball screw drive system simultaneously. Then, a novel sliding surface is constructed based on the tracking error, the disturbance observer, and the reference trajectory, where the tracking error is defined according to state observer and reference trajectory, and the disturbance observer and reference trajectory are, respectively, introduced for disturbance attenuation and tracking error reduction. Further, a dynamic sliding mode controller is synthesized to drive the tracking error, i.e., the linear trajectory error and rotational trajectory error, onto the sliding surface in a finite time. It is shown that the proposed dynamic sliding mode control suppresses not only matched but also mismatched disturbances. Finally, the effectiveness of the presented control strategy is verified through experimental studies.
{"title":"Dynamic sliding mode control for ball screw drive systems under a disturbance observer scheme","authors":"Yanling Wei , Shuo Zhang , Yufan Chen , Hamid Reza Karimi","doi":"10.1016/j.jfranklin.2025.107517","DOIUrl":"10.1016/j.jfranklin.2025.107517","url":null,"abstract":"<div><div>This paper studies disturbance-observer-based dynamic sliding mode controller design for trajectory tracking control of ball screw drive systems with matched and mismatched disturbances. Specifically, a unified observer is constructed to estimate the state and disturbance of the ball screw drive system simultaneously. Then, a novel sliding surface is constructed based on the tracking error, the disturbance observer, and the reference trajectory, where the tracking error is defined according to state observer and reference trajectory, and the disturbance observer and reference trajectory are, respectively, introduced for disturbance attenuation and tracking error reduction. Further, a dynamic sliding mode controller is synthesized to drive the tracking error, i.e., the linear trajectory error and rotational trajectory error, onto the sliding surface in a finite time. It is shown that the proposed dynamic sliding mode control suppresses not only matched but also mismatched disturbances. Finally, the effectiveness of the presented control strategy is verified through experimental studies.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107517"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-01DOI: 10.1016/j.jfranklin.2025.107568
Xiaonan Xia, Chun Li, Tianping Zhang, Yu Fang
In this paper, an adaptive optimal control strategy is proposed based on command filter technique for a class of strict-feedback nonlinear systems with input quantization and input delay, as well as prescribed performance. Utilizing dynamic surface control (DSC) and an error compensation mechanism, the impact of filtering errors on system performance is eliminated, and the difficulties of optimal control caused by input delay and input quantization are overcome. Based on identifier-critic-actor optimal architecture and by introducing positive definite functions with the application of gradient descent approach, the persistence excitation condition is relaxed. Through the cost function with prescribe performance and the compensation method in virtual control and adaptive law design, the system prescribed performance is achieved. The control scheme not only ensures that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB), but also minimizes the cost function and saves network resources. Finally, the simulation example is given to verify the effectiveness of the algorithm.
{"title":"Adaptive prescribed performance optimal control for strict-feedback nonlinear systems with input delay and input quantization","authors":"Xiaonan Xia, Chun Li, Tianping Zhang, Yu Fang","doi":"10.1016/j.jfranklin.2025.107568","DOIUrl":"10.1016/j.jfranklin.2025.107568","url":null,"abstract":"<div><div>In this paper, an adaptive optimal control strategy is proposed based on command filter technique for a class of strict-feedback nonlinear systems with input quantization and input delay, as well as prescribed performance. Utilizing dynamic surface control (DSC) and an error compensation mechanism, the impact of filtering errors on system performance is eliminated, and the difficulties of optimal control caused by input delay and input quantization are overcome. Based on identifier-critic-actor optimal architecture and by introducing positive definite functions with the application of gradient descent approach, the persistence excitation condition is relaxed. Through the cost function with prescribe performance and the compensation method in virtual control and adaptive law design, the system prescribed performance is achieved. The control scheme not only ensures that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB), but also minimizes the cost function and saves network resources. Finally, the simulation example is given to verify the effectiveness of the algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107568"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143376966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-01DOI: 10.1016/j.jfranklin.2025.107567
Jun Wu , Brano Titurus
Two continuous subsystems interconnected by a spring-inerter-damper device are common engineering configurations for vibration control. To address the problem of designing device parameters for optimal vibration control, comprehensive and systematic mathematical analyses are carried out for the minimum 2-degrees-of-freedom (DOF) system which includes two subsystems interconnected by a spring-inerter-damper device. Then, the equivalence between the 2DOF system and the full-scale continuous system is established, which allows the results of the 2DOF system to be directly transferrable to the original full-scale system. Results show that there is an optimal tuning condition in which two roots coalesce and both damping ratios reach equally high value at the first bifurcation. The device parameters at this point are derived mathematically, and used for optimal vibration control. The subcritical and supercritical conditions are also defined and the associated properties are derived. When applied to a continuous rotating beam-tendon system as a case study, the device parameters derived based on the equivalent 2DOF system are shown to be close to the optimal parameters with errors less than 6 %, and the performance of the resulting full-scale continuous system is almost identical to the optimal performance.
{"title":"Frequency analysis of two subsystems coupled by a spring-inerter-damper device and its application to continuous system for vibration control","authors":"Jun Wu , Brano Titurus","doi":"10.1016/j.jfranklin.2025.107567","DOIUrl":"10.1016/j.jfranklin.2025.107567","url":null,"abstract":"<div><div>Two continuous subsystems interconnected by a spring-inerter-damper device are common engineering configurations for vibration control. To address the problem of designing device parameters for optimal vibration control, comprehensive and systematic mathematical analyses are carried out for the minimum 2-degrees-of-freedom (DOF) system which includes two subsystems interconnected by a spring-inerter-damper device. Then, the equivalence between the 2DOF system and the full-scale continuous system is established, which allows the results of the 2DOF system to be directly transferrable to the original full-scale system. Results show that there is an optimal tuning condition in which two roots coalesce and both damping ratios reach equally high value at the first bifurcation. The device parameters at this point are derived mathematically, and used for optimal vibration control. The subcritical and supercritical conditions are also defined and the associated properties are derived. When applied to a continuous rotating beam-tendon system as a case study, the device parameters derived based on the equivalent 2DOF system are shown to be close to the optimal parameters with errors less than 6 %, and the performance of the resulting full-scale continuous system is almost identical to the optimal performance.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107567"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143342735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, considering the influences of stochastic noise and age structure on the spread of tuberculosis, a stochastic age-space structured tuberculosis model that integrates both prevention and treatment control strategies is formulated. To be specific, the positivity and uniqueness of the mild solution of model are acquired. After that, from a cost-benefit perspective, an optimal control problem of tuberculosis is formulated to minimize the number of infected population and control cost by virtue of Gronwall’s inequality and Mazur’s lemma. The time optimal control is further discussed. Based on this analysis, some concrete examples are given for verify theoretical results.
{"title":"Existence of optimal control and time optimality of a stochastic age-space structured tuberculosis model","authors":"Dongchen Shangguan, Jing Hu, Xining Li, Qimin Zhang","doi":"10.1016/j.jfranklin.2025.107516","DOIUrl":"10.1016/j.jfranklin.2025.107516","url":null,"abstract":"<div><div>In this paper, considering the influences of stochastic noise and age structure on the spread of tuberculosis, a stochastic age-space structured tuberculosis model that integrates both prevention and treatment control strategies is formulated. To be specific, the positivity and uniqueness of the mild solution of model are acquired. After that, from a cost-benefit perspective, an optimal control problem of tuberculosis is formulated to minimize the number of infected population and control cost by virtue of Gronwall’s inequality and Mazur’s lemma. The time optimal control is further discussed. Based on this analysis, some concrete examples are given for verify theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107516"},"PeriodicalIF":3.7,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper aims to design an online algebraic disturbance estimation method for linear systems with noisy state measurements. The motivation is to provide a fast-convergent and robust online disturbance estimation method for active anti-disturbance control systems. By constructing a modulating functions vector, a state-based algebraic integral formula is derived for the disturbance of the studied system. Within a discrete noisy environment, the proposed formula can be numerically executed online with respect to a sliding integration window. Meanwhile, the analysis of error effects is also given based on the proposed formula. Finally, simulation examples are provided to illustrate the efficiency of the proposed method for an open-loop system and a closed-loop system, respectively.
{"title":"Online algebraic disturbance estimation method for linear systems with noisy state measurements","authors":"Yan-Qiao Wei , Da-Yan Liu , Chang-Chun Hua , Cong Zhang","doi":"10.1016/j.jfranklin.2024.107442","DOIUrl":"10.1016/j.jfranklin.2024.107442","url":null,"abstract":"<div><div>This paper aims to design an online algebraic disturbance estimation method for linear systems with noisy state measurements. The motivation is to provide a fast-convergent and robust online disturbance estimation method for active anti-disturbance control systems. By constructing a modulating functions vector, a state-based algebraic integral formula is derived for the disturbance of the studied system. Within a discrete noisy environment, the proposed formula can be numerically executed online with respect to a sliding integration window. Meanwhile, the analysis of error effects is also given based on the proposed formula. Finally, simulation examples are provided to illustrate the efficiency of the proposed method for an open-loop system and a closed-loop system, respectively.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107442"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper addresses the problem of cooperative output regulation for uncertain linear multi-agent systems under asynchronous intermittent measurements. The relevant theory for the solution of the robust output regulation problem with asynchronous intermittent reference transmission for a single agent is first developed, extending the classical assumptions and the invariance condition given by the Francis equations and the internal model principle of the continuous output regulation problem to the hybrid framework. The results obtained for a single agent are then applied to multi-agent systems by developing a novel hybrid distributed observer and control law, despite the communication constraints between agents, which are assumed to share their outputs at asynchronous instants. The controller design is based on a leader–follower scheme with a virtual leader, modeled as an exosystem, and a set of followers, modeled as heterogeneous linear systems with uncertainties. The communication structure is described by a directed graph, which only needs to be available at least once between two time bounds, solving the frequent problems of switching topologies and Zeno-like behaviors. The stability and regulation conditions of the multi-agent system are proven and guaranteed by the existence of a solution to a finite set of linear matrix inequalities. The effectiveness of the contribution is compared with previous results in numerical examples and demonstrated through simulation in a particular example of a multi-agent system.
{"title":"Robust cooperative output regulation for linear multi-agent systems under intermittent measurements","authors":"Horacio García-Vázquez , Ulises Larios-Navarro , Bernardino Castillo-Toledo , Stefano Di Gennaro","doi":"10.1016/j.jfranklin.2024.107473","DOIUrl":"10.1016/j.jfranklin.2024.107473","url":null,"abstract":"<div><div>This paper addresses the problem of cooperative output regulation for uncertain linear multi-agent systems under asynchronous intermittent measurements. The relevant theory for the solution of the robust output regulation problem with asynchronous intermittent reference transmission for a single agent is first developed, extending the classical assumptions and the invariance condition given by the Francis equations and the internal model principle of the continuous output regulation problem to the hybrid framework. The results obtained for a single agent are then applied to multi-agent systems by developing a novel hybrid distributed observer and control law, despite the communication constraints between agents, which are assumed to share their outputs at asynchronous instants. The controller design is based on a leader–follower scheme with a virtual leader, modeled as an exosystem, and a set of followers, modeled as heterogeneous linear systems with uncertainties. The communication structure is described by a directed graph, which only needs to be available at least once between two time bounds, solving the frequent problems of switching topologies and Zeno-like behaviors. The stability and regulation conditions of the multi-agent system are proven and guaranteed by the existence of a solution to a finite set of linear matrix inequalities. The effectiveness of the contribution is compared with previous results in numerical examples and demonstrated through simulation in a particular example of a multi-agent system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107473"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-01DOI: 10.1016/j.jfranklin.2024.107443
Anouar Ben-Loghfyry
This study introduces a novel PDE-constrained optimization approach tailored to determine the optimal fractional-time order in diffusion PDEs for image denoising. By incorporating a time-fractional derivative, our framework effectively enhances image clarity and reduces virtual artifacts. The Accelerated Primal–Dual algorithm is utilized to improve the efficiency of the model. We conduct a comprehensive evaluation of the denoising performance of this PDE-constrained method through various numerical experiments, considering different images and noise levels across a wide range of noise intensities. Furthermore, the robustness of the model is tested under high noise conditions, and a detailed analysis of the behavior of the fractional-time derivative is provided. The experimental results demonstrate the model’s effectiveness and resilience in noise reduction, supported by both visual inspections and quantitative metrics. Compared to several state-of-the-art techniques, our approach delivers superior image denoising, producing images that are significantly cleaner, exhibit a natural appearance, and show a marked reduction in undesirable artifacts.
{"title":"A fractional-time PDE-constrained parameter identification for inverse image noise removal problem","authors":"Anouar Ben-Loghfyry","doi":"10.1016/j.jfranklin.2024.107443","DOIUrl":"10.1016/j.jfranklin.2024.107443","url":null,"abstract":"<div><div>This study introduces a novel PDE-constrained optimization approach tailored to determine the optimal fractional-time order <span><math><mi>α</mi></math></span> in diffusion PDEs for image denoising. By incorporating a time-fractional derivative, our framework effectively enhances image clarity and reduces virtual artifacts. The Accelerated Primal–Dual algorithm is utilized to improve the efficiency of the model. We conduct a comprehensive evaluation of the denoising performance of this PDE-constrained method through various numerical experiments, considering different images and noise levels across a wide range of noise intensities. Furthermore, the robustness of the model is tested under high noise conditions, and a detailed analysis of the behavior of the fractional-time derivative is provided. The experimental results demonstrate the model’s effectiveness and resilience in noise reduction, supported by both visual inspections and quantitative metrics. Compared to several state-of-the-art techniques, our approach delivers superior image denoising, producing images that are significantly cleaner, exhibit a natural appearance, and show a marked reduction in undesirable artifacts.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107443"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-01DOI: 10.1016/j.jfranklin.2024.107460
Tingting Shi , Cheng Hu , Juan Yu , Shiping Wen
In the age of digitization and networking, as a significant interactive information mode, quantitative communication effectively alleviates communication pressure and improves transmission efficiency. Besides, boundary control has significant advantages over traditional full-domain control in reducing control cost and improving controller implementation. In view this, this article is concerned about fixed-time synchronization of spatiotemporal networks with Robin boundary condition and output-based quantization communication. Firstly, based on output information, a type of quantization communication mechanism is introduced into the network model. Subsequently, an output-based quantization controller is developed, which is distributed on the Robin boundary. As a result, several flexible fixed-time output and state synchronization criteria are obtained based on Lyapunov-like method and an artful matrix analytical technique, and the upper bound of the synchronization time is explicitly estimated. The derived results are further extended to spatiotemporal networks with Neumann and mixed boundary conditions. Note that there is no strict requirement on the output matrix compared with the previous semi-positive, non-singular or column full rank form. An urban public traffic network is presented at last to confirm the developed controllers and criteria.
{"title":"Fixed-time quantized synchronization of spatiotemporal networks with output-based quantization communication via boundary control","authors":"Tingting Shi , Cheng Hu , Juan Yu , Shiping Wen","doi":"10.1016/j.jfranklin.2024.107460","DOIUrl":"10.1016/j.jfranklin.2024.107460","url":null,"abstract":"<div><div>In the age of digitization and networking, as a significant interactive information mode, quantitative communication effectively alleviates communication pressure and improves transmission efficiency. Besides, boundary control has significant advantages over traditional full-domain control in reducing control cost and improving controller implementation. In view this, this article is concerned about fixed-time synchronization of spatiotemporal networks with Robin boundary condition and output-based quantization communication. Firstly, based on output information, a type of quantization communication mechanism is introduced into the network model. Subsequently, an output-based quantization controller is developed, which is distributed on the Robin boundary. As a result, several flexible fixed-time output and state synchronization criteria are obtained based on Lyapunov-like method and an artful matrix analytical technique, and the upper bound of the synchronization time is explicitly estimated. The derived results are further extended to spatiotemporal networks with Neumann and mixed boundary conditions. Note that there is no strict requirement on the output matrix compared with the previous semi-positive, non-singular or column full rank form. An urban public traffic network is presented at last to confirm the developed controllers and criteria.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107460"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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