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Recursive projection-free identification with binary-valued observations 具有二值观测值的无投影递归辨识
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-20 DOI: 10.1016/j.sysconle.2025.106162
Tianning Han , Ying Wang , Yanlong Zhao
{"title":"Recursive projection-free identification with binary-valued observations","authors":"Tianning Han ,&nbsp;Ying Wang ,&nbsp;Yanlong Zhao","doi":"10.1016/j.sysconle.2025.106162","DOIUrl":"10.1016/j.sysconle.2025.106162","url":null,"abstract":"<div><div>This paper is concerned with parameter identification problem for finite impulse response (FIR) systems with binary-valued observations under low computational complexity. Most of the existing algorithms under binary-valued observations rely on projection operators, which leads to a high computational complexity of much higher than <span><math><mrow><mi>O</mi><mfenced><mrow><msup><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfenced></mrow></math></span>. In response, this paper introduces a recursive projection-free identification algorithm that incorporates a specialized cut-off coefficient to fully utilize prior information, thereby eliminating the need for projection operators. The algorithm is proved to be mean square and almost surely convergent. Furthermore, to better leverage prior information, an adaptive accelerated coefficient is introduced, resulting in a mean square convergence rate of <span><math><mrow><mi>O</mi><mfenced><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mi>k</mi></mrow></mfrac></mrow></mfenced></mrow></math></span>, which matches the convergence rate with accurate observations. Inspired by the structure of the Cram<span><math><mover><mrow><mi>e</mi></mrow><mrow><mo>́</mo></mrow></mover></math></span>r–Rao lower bound, the algorithm can be extended to an information-matrix projection-free algorithm by designing adaptive weight coefficients. This extension is proved to be asymptotically efficient for first-order FIR systems, with simulations indicating similar results for high-order FIR systems. Finally, numerical examples are provided to demonstrate the main results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106162"},"PeriodicalIF":2.1,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144322395","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}
引用次数: 0
Privacy preserving resilient consensus for delayed multi-agent systems: A scheme via trusted nodes 延迟多智能体系统的隐私保护弹性共识：一种基于可信节点的方案
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-19 DOI: 10.1016/j.sysconle.2025.106167
Ran Tian, Jie Mei, Guangfu Ma
{"title":"Privacy preserving resilient consensus for delayed multi-agent systems: A scheme via trusted nodes","authors":"Ran Tian,&nbsp;Jie Mei,&nbsp;Guangfu Ma","doi":"10.1016/j.sysconle.2025.106167","DOIUrl":"10.1016/j.sysconle.2025.106167","url":null,"abstract":"<div><div>This paper proposes a novel scheme for privacy preserving resilient consensus problem of multi-agent systems (MASs) by employing a set of trusted nodes with improved security against attacks, taking the bounded non-uniform time-varying communication delays into account. In the existence of faulty agents, the robustness of the underlying network is imperative. Enhancing network robustness often involves deploying redundant nodes and communication links, which, however, may incur high connectivity constraints and significant costs. We provide a solution for sparse networks by protecting a limited subset of nodes, called trusted nodes, from failures and attacks all the time. We propose a novel state decomposition MSR (SD-MSR) algorithm with trusted nodes. Any desired level of robustness can be achieved by regulating the quantity and location of trusted nodes. Additionally, a sufficient and necessary condition for achieving resilient consensus, and a high level of privacy protection of normal agents’ initial states is obtained. Finally, numerical simulation and the application to smart grids are provided to demonstrate the effectiveness of the proposed results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106167"},"PeriodicalIF":2.1,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321562","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}
引用次数: 0
On the analysis of qualitative Nyquist plots 关于定性奈奎斯特图的分析
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-17 DOI: 10.1016/j.sysconle.2025.106164
Davide Tebaldi, Roberto Zanasi
{"title":"On the analysis of qualitative Nyquist plots","authors":"Davide Tebaldi,&nbsp;Roberto Zanasi","doi":"10.1016/j.sysconle.2025.106164","DOIUrl":"10.1016/j.sysconle.2025.106164","url":null,"abstract":"<div><div>A powerful tool in control and systems engineering is represented by Nyquist plots, for which a qualitative representation often gives a clearer visualization of the frequency response function that is typically not given by computer programs, especially if portions of the Nyquist plot extend to infinity. This letter addresses the graphical analysis of the frequency response function, with the objective of enhancing the procedure for the qualitative construction of Nyquist plots. Several results supported by analytical proofs are derived for what concerns the low and high frequency behavior, which enable to improve the qualitative construction of Nyquist plots in the vicinity of the initial and final points.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106164"},"PeriodicalIF":2.1,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144298098","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}
引用次数: 0
The sign and the co-monotonicity of Z for a class of decoupled FBSDEs: Theory and applications 一类解耦FBSDEs的Z的符号和共单调性：理论与应用
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-16 DOI: 10.1016/j.sysconle.2025.106160
Shuhui Liu, Defeng Sun
{"title":"The sign and the co-monotonicity of Z for a class of decoupled FBSDEs: Theory and applications","authors":"Shuhui Liu,&nbsp;Defeng Sun","doi":"10.1016/j.sysconle.2025.106160","DOIUrl":"10.1016/j.sysconle.2025.106160","url":null,"abstract":"<div><div>In this paper, we investigate the properties of the control process <span><math><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></math></span> in a class of backward stochastic differential equation (BSDE) with Markovian terminal data driven by a forward stochastic differential equation (SDE). We focus on determining the sign of (<span><math><mi>z</mi></math></span>), and find that it is determined via certain information about the BSDE driver and the terminal data. Notably, we explore the co-monotonicity property of (<span><math><mi>z</mi></math></span>) when the terminal value of the BSDE within the forward–backward SDE (FBSDE) system is non-monotonic. Three applications are also showed in the paper. First, we provide a sufficient condition ensuring that the nonlinear <span><math><mi>g</mi></math></span>-expectation is additive. Second, we obtain the explicit solution for a class of nonlinear BSDEs. Third, we offer a closed form representation for the standard aggregator utility under ambiguity, as discussed in Chen and Epstein (2002).</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106160"},"PeriodicalIF":2.1,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144290747","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}
引用次数: 0
Learning finite-horizon optimal control with unknown control-affine dynamics 具有未知控制仿射动力学的学习有限视界最优控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-16 DOI: 10.1016/j.sysconle.2025.106161
Yuqing Chen , Yangzhi Li , David J. Braun
{"title":"Learning finite-horizon optimal control with unknown control-affine dynamics","authors":"Yuqing Chen ,&nbsp;Yangzhi Li ,&nbsp;David J. Braun","doi":"10.1016/j.sysconle.2025.106161","DOIUrl":"10.1016/j.sysconle.2025.106161","url":null,"abstract":"<div><div>This paper introduces a method for learning finite-horizon optimal control for systems with control-affine dynamics without using the model of the system dynamics. We approximate the time- and state-dependent optimal control policy using model-free relearning of simple linear control policies. Assuming persistent excitation, we prove the convergence and optimality of the proposed learning method and demonstrate its use through a numerical example.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106161"},"PeriodicalIF":2.1,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144298097","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}
引用次数: 0
Stochastic stabilization and destabilization of nonlinear switched system by periodic stochastic controls based on Lévy jump noise 基于lsamvy跃变噪声的周期性随机控制非线性开关系统的随机镇定与失稳
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-14 DOI: 10.1016/j.sysconle.2025.106165
Ruizhuang Zhang , Wei Qian
{"title":"Stochastic stabilization and destabilization of nonlinear switched system by periodic stochastic controls based on Lévy jump noise","authors":"Ruizhuang Zhang ,&nbsp;Wei Qian","doi":"10.1016/j.sysconle.2025.106165","DOIUrl":"10.1016/j.sysconle.2025.106165","url":null,"abstract":"<div><div>The aim of this paper is to determine whether or not periodic stochastic feedback controls can stabilize or destabilize a given nonlinear switched system described by Markovian switching stochastic differential equations (MS-SDEs) with Lévy jump noise. The time-inhomogeneous property of the drift, diffusion and Lévy jump coefficient functions are used to establish some sufficient conditions on almost surely exponential stability and instability of stochastic switched system described by MS-SDEs with Lévy jump noise. Based on the established results on stability and instability, we use Brownian motion and Lévy jump as noise sources to design stochastic feedback controls to stabilize or destabilize a given unstable (or stable) Markovian switching ordinary differential equations (MS-ODEs) system. Two examples and simulations are given to illustrate our theory.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106165"},"PeriodicalIF":2.1,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279401","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}
引用次数: 0
Global linearization of asymptotically stable systems without hyperbolicity 无双曲渐近稳定系统的全局线性化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-13 DOI: 10.1016/j.sysconle.2025.106163
Matthew D. Kvalheim , Eduardo D. Sontag
{"title":"Global linearization of asymptotically stable systems without hyperbolicity","authors":"Matthew D. Kvalheim ,&nbsp;Eduardo D. Sontag","doi":"10.1016/j.sysconle.2025.106163","DOIUrl":"10.1016/j.sysconle.2025.106163","url":null,"abstract":"<div><div>We give a proof of an extension of the Hartman-Grobman theorem to nonhyperbolic but asymptotically stable equilibria of vector fields. Moreover, the linearizing topological conjugacy is (i) defined on the entire basin of attraction if the vector field is complete, and (ii) a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>k</mi><mo>≥</mo><mn>1</mn></mrow></msup></math></span>-diffeomorphism on the complement of the equilibrium if the vector field is <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>k</mi></mrow></msup></math></span> and the underlying space is not 5-dimensional. We also show that the <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>k</mi></mrow></msup></math></span> statement in the 5-dimensional case is equivalent to the 4-dimensional smooth Poincaré conjecture.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106163"},"PeriodicalIF":2.1,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272043","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}
引用次数: 0
Passivity-based control of networks of memristors and capacitors 忆阻器和电容网络的无源控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-12 DOI: 10.1016/j.sysconle.2025.106156
M.A. Huijzer, A.J. van der Schaft, B. Besselink
{"title":"Passivity-based control of networks of memristors and capacitors","authors":"M.A. Huijzer,&nbsp;A.J. van der Schaft,&nbsp;B. Besselink","doi":"10.1016/j.sysconle.2025.106156","DOIUrl":"10.1016/j.sysconle.2025.106156","url":null,"abstract":"<div><div>This paper presents a mathematical framework for modelling networks of memristors and capacitors. Using this framework, we analyse the dynamic behaviour of the fluxes at the memristors in the network. In particular, we show that when no external input is applied to the network, the fluxes at the memristors converge towards an asymptotically stable equilibrium. Moreover, by taking inspiration from passivity-based control, we introduce two control strategies that can be used to steer the fluxes at the memristors in the direction of a desired equilibrium. The results presented in this work are particularly of interest to Neuromorphic Computing as that field suggests utilising memristors as the synaptic weights in hardware implementations of ANNs.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106156"},"PeriodicalIF":2.1,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272042","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}
引用次数: 0
Global prescribed-time control of a class of nonholonomic systems by time-varying dynamic feedback 一类非完整系统的时变动态反馈全局定时控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-10 DOI: 10.1016/j.sysconle.2025.106140
Kang-Kang Zhang, Huaiyuan Jiang, Bin Zhou, Guang-Ren Duan
{"title":"Global prescribed-time control of a class of nonholonomic systems by time-varying dynamic feedback","authors":"Kang-Kang Zhang,&nbsp;Huaiyuan Jiang,&nbsp;Bin Zhou,&nbsp;Guang-Ren Duan","doi":"10.1016/j.sysconle.2025.106140","DOIUrl":"10.1016/j.sysconle.2025.106140","url":null,"abstract":"<div><div>In this paper, the global prescribed-time control problem of a class of nonholonomic systems with time-varying drift terms is investigated. By using time-varying high-gain function, a novel time-varying oscillator-like differential equation is constructed. Then with the aid of the auxiliary state generated by such an equation, time-varying dynamic feedback controllers are proposed for the (high-order) extended Heisenberg systems. It is proved that the state of the closed-loop system converges to zero at any prescribed time and the controls are bounded. As applications, the prescribed-time control problems for two physical systems are studied. Numerical simulations verify the effectiveness of the proposed methods.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106140"},"PeriodicalIF":2.1,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144255495","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}
引用次数: 0
Exponential moment stability on discrete time Markovian switching singular systems 离散时间马尔可夫切换奇异系统的指数矩稳定性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-06-08 DOI: 10.1016/j.sysconle.2025.106148
Yingying Han , Shaosheng Zhou
{"title":"Exponential moment stability on discrete time Markovian switching singular systems","authors":"Yingying Han ,&nbsp;Shaosheng Zhou","doi":"10.1016/j.sysconle.2025.106148","DOIUrl":"10.1016/j.sysconle.2025.106148","url":null,"abstract":"<div><div>This paper addresses the problem of exponential moment stability for a class of discrete time Markovian jump singular systems. To solve this problem, a stochastic process dependent coordinate transformation is proposed via constructing rank-canonical form of transformation matrix. A series of criteria of exponential moment stability including spectral radius-based moment stability for the underlying systems are established in light of the rank-canonical form of transformation and cumulant generating function as well as extended system approach. The effectiveness of the proposed results is illustrated by two numerical examples.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"203 ","pages":"Article 106148"},"PeriodicalIF":2.1,"publicationDate":"2025-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241136","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}
引用次数: 0
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