{"title":"Dynamic memory-based event-triggered security control for networked control systems subjected to false-injection-data attack","authors":"Xiaohang Li , Peng Shi , Weidong Zhang","doi":"10.1016/j.sysconle.2024.105843","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105843","url":null,"abstract":"<div><p>This study addresses the security control problem for networked control systems that are subjected to false-data-injection attacks. The designed controller rests on a dynamic memory-based event-triggered mechanism, which exploits historically transmitted data and an auxiliary term to improve transmission efficiency and ensure satisfactory control performance. Then, a controller that defends against the false-data-injection attacks is proposed by making full use of the historical information. With the aid of Cauchy–Schwarz and Gronwall–Bellman inequalities, the existence of such a controller is validated through a novel Lyapunov-based method, which allows the Lyapunov function to be nonpositive. Further, a test on a dynamic power system is provided to verify the effectiveness and superiority of the proposed method.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105843"},"PeriodicalIF":2.1,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141444377","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}
{"title":"Synchronization of heterogeneous and uncertain networks via adaptive intermittent pinning control","authors":"Anning Chen , Linying Xiang","doi":"10.1016/j.sysconle.2024.105858","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105858","url":null,"abstract":"<div><p>In the context of network synchronization, achieving a coherent solution poses a significant challenge, particularly in scenarios where the systems exhibit heterogeneous and uncertain dynamics. The ability to successfully steer the network towards synchronization under heterogeneous and uncertain dynamics is an important research subject. In this paper, synchronization of heterogeneous and uncertain networks is investigated by designing an adaptive intermittent pinning controller. Based on Lyapunov stability theory, sufficient conditions to guarantee network synchronization are obtained. Moreover, an adaptive algorithm for uncertain gain is designed and its validity is rigorously established. Finally, numerical simulations are provided to demonstrate the correctness of the obtained results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105858"},"PeriodicalIF":2.1,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141438002","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}
{"title":"The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise","authors":"Chao Li , Xiaofeng Xu , Ming Liu","doi":"10.1016/j.sysconle.2024.105839","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105839","url":null,"abstract":"<div><p>This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Lévy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105839"},"PeriodicalIF":2.6,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141423437","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}
{"title":"Effective error estimation for model reduction with inhomogeneous initial conditions","authors":"Björn Liljegren-Sailer","doi":"10.1016/j.sysconle.2024.105840","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105840","url":null,"abstract":"<div><p>A priori error bounds have been derived for different balancing-related model reduction methods. The classical result is a bound for balanced truncation and singular perturbation approximation that is applicable for asymptotically stable linear time-invariant systems with zero initial conditions. Recently, there have been a few attempts to generalize the balancing-related reduction methods to the case with inhomogeneous initial conditions. Those strongly rely on the assumption that the space of initial conditions of interest is known a priori In this paper, we show how the exact error representation in terms of the Gramians can be used as a sharp and efficient error bound. In particular, by exploiting an appropriate offline–online decomposition of the computation, this approach is feasible for arbitrary initial conditions. This is in contrast to previous error bounds, which are valid only for an a priori restricted set of initial conditions. Furthermore, our approach can be realized in a large-scale setting, in which case the resulting error estimator is as accurate as the underlying low-rank approximation of the Gramian allows. The effectivity, accuracy and applicability of our bound/estimator for a posteriori estimation and certified model selection are also demonstrated numerically.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105840"},"PeriodicalIF":2.6,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141423438","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}
{"title":"Analysis and stabilization of discrete-time positive systems with input saturation","authors":"Hongling Qiu, Jun Shen","doi":"10.1016/j.sysconle.2024.105854","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105854","url":null,"abstract":"<div><p>This paper is centered on the local stabilization of discrete-time positive systems subject to input saturation using a static linear feedback. To estimate the domain of attraction for systems with open-loop positivity, some sufficient criteria are proposed to construct two types of sets maintaining contractive invariance for the closed-loop system, namely hyperpyramids and hyperrectangles, which are the level sets corresponding to sum-separable and max-separable Lyapunov functions, respectively. Furthermore, these criteria are nonconservative for the single-input case. In the absence of open-loop positivity, some sufficient criteria are provided to guarantee that a hyperrectangle still maintains contractive invariance for the system. Finally, two numerical experiments are presented to demonstrate the effectiveness of the obtained results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105854"},"PeriodicalIF":2.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308114","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}
{"title":"On stability in probability for a cooperative system of two equations with Nicholson’s growth and distributed delay under stochastic perturbations","authors":"Leonid Shaikhet","doi":"10.1016/j.sysconle.2024.105838","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105838","url":null,"abstract":"<div><p>A method of stability investigation for stochastic nonlinear dynamical systems is demonstrated on a system of two connected Nicholson’s blowflies type equations with distributed delay and exponential nonlinearity. It is supposed that this system is affected by stochastic perturbations of the white noise type that are directly proportional to the deviation of the system state from its equilibrium. Stability conditions for the zero and positive equilibria of the system under consideration are obtained by virtue of the general method of Lyapunov functionals construction and are formulated in terms of Linear Matrix Inequalities (LMIs), that can be checked by MATLAB. Numerical examples and figures illustrate the obtained theoretical results. The described method can be applied in various applications to many stochastic systems of higher dimensions with different types of high-order nonlinearities and different forms of delays.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105838"},"PeriodicalIF":2.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308113","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}
{"title":"On stability of nonlinear homogeneous systems with distributed delays having variable kernels","authors":"A. Aleksandrov , D. Efimov , E. Fridman","doi":"10.1016/j.sysconle.2024.105853","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105853","url":null,"abstract":"<div><p>The stability problem for nonlinear homogeneous systems with distributed delay and variable kernel is studied. Both, the Lyapunov–Krasovskii and the Razumikhin, approaches are applied. It is proved that the global asymptotic stability of the zero solution for an auxiliary delay-free homogeneous system implies the local asymptotic stability of the zero solution for the original system with distributed delay. Moreover, the impact of nonlinear time-varying perturbations on the system dynamics is analyzed applying the averaging techniques. The results are illustrated by a mechanical system described by a Lienard equation, and an indirect control system design for a linear system.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105853"},"PeriodicalIF":2.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141308112","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}
{"title":"Distributed fusion filtering for multi-rate nonlinear systems with random sensor failures under event-triggering round-robin-like scheme","authors":"Shuting Fan , Jun Hu , Cai Chen , Xiaojian Yi","doi":"10.1016/j.sysconle.2024.105845","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105845","url":null,"abstract":"<div><p>The distributed fusion filtering problem is addressed for the multi-rate nonlinear systems with random sensor failures (RSFs) over sensor networks, where a prediction compensation approach is proposed to transform the system unlike the lifting technique. The RSFs are portrayed by using stochastic variables with known statistical properties that satisfy certain probability distribution. In order to prevent data conflicts and reduce unnecessary data transmission, the event-triggering round-robin-like scheme (ETRRLS) is introduced to schedule the data transmission among sensor nodes. The main objectives of this paper are to design a local distributed filtering scheme based on the information of itself and ETRRLS scheduled neighboring nodes, and obtain an upper bound on the local filtering error (LFE) covariance which is minimized based on the filter gains design. Afterward, the local filters are fused by using the sequential covariance intersection fusion criterion. Moreover, we provide a sufficient condition, which can ensure the boundedness of the trace of LFE covariance. Finally, a simulation example is presented to illustrate the effectiveness and superiority of the newly proposed distributed fusion estimation algorithm.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105845"},"PeriodicalIF":2.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141314672","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}
{"title":"Galerkin approximation for H∞-control of the stable parabolic system under Dirichlet boundary control","authors":"Bao-Zhu Guo , Zheng-Qiang Tan","doi":"10.1016/j.sysconle.2024.105841","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105841","url":null,"abstract":"<div><p>In this paper, we explore state feedback control for the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msup></math></span> disturbance-attenuation problem in stable parabolic systems with in-domain distributed disturbances under Dirichlet boundary control. Calculating the state feedback control involves solving an operator algebraic Riccati equation, which poses challenges in finding an analytic solution. A practical approach is to seek an approximate solution via finite-dimensional approximation. Specifically, we employ the Galerkin approximation, which generates a sequence of finite-dimensional systems that approximate the original infinite-dimensional system. All corresponding finite-dimensional disturbance-attenuation problems are solvable, and it is demonstrated that the sequence of solutions to the associated finite-dimensional algebraic Riccati equations converges in norm to the solution of the infinite-dimensional operator algebraic Riccati equation. Furthermore, the state feedback controls derived from the finite-dimensional algebraic Riccati equations are proven to be <span><math><mi>γ</mi></math></span>-admissible controls for the original system.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105841"},"PeriodicalIF":2.6,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141303177","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}
Xiaowen Lu , Mengchen Wang , Qi Yang , Zhongjun Ma , Jun Cheng , Kezan Li
{"title":"Successive lag synchronization of a complex network with noise via aperiodically intermittent pinning control","authors":"Xiaowen Lu , Mengchen Wang , Qi Yang , Zhongjun Ma , Jun Cheng , Kezan Li","doi":"10.1016/j.sysconle.2024.105842","DOIUrl":"https://doi.org/10.1016/j.sysconle.2024.105842","url":null,"abstract":"<div><p>Successive lag synchronization (SLS) is a novel and important synchronization pattern, whose control problem has been deeply investigated in the past several years. However, the impact of noise perturbation on the control of SLS is still unclear. To this end, this paper focuses on the intermittent pinning control of SLS on a dynamical network with noise perturbation. In order to push the SLS to a desired trajectory, we design an intermittent pinning control scheme that is active only on controlled intervals and a small proportion of nodes. By applying the stability theory of stochastic differential equation, we obtain sufficient conditions under which the network can realize the SLS with exponential stability in mean square. According to these conditions, we can determine which nodes should be controlled or not, the minimum control ratio and the impact of noise perturbation on the SLS. An interesting finding is that performing the control on at least half of each subinterval can ensure the stochastic stability of SLS, which is independent of any network parameters. The effectiveness of proposed intermittent pinning control scheme is verified by the network of coupled Chua’s circuits.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105842"},"PeriodicalIF":2.6,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141290968","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}