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Positive limit set in novel hybrid systems with interactions between differential dynamics and evolutionary games
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-04 DOI: 10.1016/j.sysconle.2025.106080
Yuting Xue , Jitao Sun
{"title":"Positive limit set in novel hybrid systems with interactions between differential dynamics and evolutionary games","authors":"Yuting Xue ,&nbsp;Jitao Sun","doi":"10.1016/j.sysconle.2025.106080","DOIUrl":"10.1016/j.sysconle.2025.106080","url":null,"abstract":"<div><div>This paper proposes a novel class of hybrid systems and investigates its positive limit set theory. The new model is motivated by hybrid characters of evolutionary games, sparse research concerning interactions between games and dynamics, and practical backgrounds that varying environmental factors lead to various impacts. The model consists of continuous dynamics, transient impulse, logical evolution of game strategies, and their interactions where evolutionary games determine the type of impulse. Such model has generality and practicality, and is rarely studied. Firstly, via semi-tensor product, proposed hybrid systems are converted into the complete algebraic representation. Next, we investigate the basic properties to lay the foundation for discussions about the positive limit set, including left-continuity, semi-group, quasi-continuous dependence, and boundedness. Then we discuss non-emptiness, closeness, compactness, and invariance of the positive limit set. Finally a numerical example is given to show the validity of main results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106080"},"PeriodicalIF":2.1,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767493","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
Highly efficient three-stage maximum likelihood recursive least squares identification method for multiple-input multiple-output systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-04 DOI: 10.1016/j.sysconle.2025.106094
Huihui Wang, Ximei Liu
{"title":"Highly efficient three-stage maximum likelihood recursive least squares identification method for multiple-input multiple-output systems","authors":"Huihui Wang,&nbsp;Ximei Liu","doi":"10.1016/j.sysconle.2025.106094","DOIUrl":"10.1016/j.sysconle.2025.106094","url":null,"abstract":"<div><div>The objective of this paper is to propose novel identification methods with high computational efficiency for multiple-input multiple-output systems. Through decomposing the system into several subsystems for reducing the dimension and the number of parameters, the identification model is derived. To improve the identification efficiency, the identification model is further divided into three virtual sub-models, and then a three-stage auxiliary model-based maximum likelihood recursive least squares (3S-AM-ML-RLS) algorithm is proposed on basis of the hierarchical identification principle. To show the advantages of the proposed algorithm, an existing algorithm is given for comparison. By comparing the total floating point operations (flops), the proposed 3S-AM-ML-RLS algorithm has higher computational efficiency. Furthermore, simulation results test that the proposed 3S-AM-ML-RLS algorithm has better performance and captures the dynamics of the system well.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106094"},"PeriodicalIF":2.1,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767494","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 necessity and sufficiency of the small phase theorem for nonlinear fading memory systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-31 DOI: 10.1016/j.sysconle.2025.106081
Tianqiu Yu, Chao Zhang
{"title":"On the necessity and sufficiency of the small phase theorem for nonlinear fading memory systems","authors":"Tianqiu Yu,&nbsp;Chao Zhang","doi":"10.1016/j.sysconle.2025.106081","DOIUrl":"10.1016/j.sysconle.2025.106081","url":null,"abstract":"<div><div>This paper is concerned with the phases of sectorial systems to closed-loop stability of discrete-time time-varying (TV) nonlinear systems with fading memory. The framework considers a nonlinear system to be a causal nonlinear operator on signal spaces. For the class of stable nonlinear systems with fading memory, a small phase theorem is established for closed-loop stability. When the closed-loop system is uniformly stable over the phase bounded uncertainty set, we show that the small phase theorem is necessary.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106081"},"PeriodicalIF":2.1,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737936","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
Some computations for optimal execution with monotone strategies
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-29 DOI: 10.1016/j.sysconle.2025.106083
Yan Dolinsky
{"title":"Some computations for optimal execution with monotone strategies","authors":"Yan Dolinsky","doi":"10.1016/j.sysconle.2025.106083","DOIUrl":"10.1016/j.sysconle.2025.106083","url":null,"abstract":"<div><div>We study an optimal execution problem in the infinite horizon setup. Our financial market is given by the Black–Scholes model with a linear price impact. The main novelty of the current note is that we study the constrained case where the number of shares and the selling rate are non-negative processes. For this case we give a complete characterization of the value and the optimal control via a solution of a non-linear ordinary differential equation (ODE). Furthermore, we provide an example where the non-linear ODE can be solved explicitly. Our approach is purely probabilistic.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106083"},"PeriodicalIF":2.1,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735322","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}
引用次数: 0
Reinforcement-learning-based control framework for leader-following cascade formation of multiple perturbed surface vehicles
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-26 DOI: 10.1016/j.sysconle.2025.106077
Phuong Nam Dao , Hoang Anh Nguyen Duc , Yen-Chen Liu
{"title":"Reinforcement-learning-based control framework for leader-following cascade formation of multiple perturbed surface vehicles","authors":"Phuong Nam Dao ,&nbsp;Hoang Anh Nguyen Duc ,&nbsp;Yen-Chen Liu","doi":"10.1016/j.sysconle.2025.106077","DOIUrl":"10.1016/j.sysconle.2025.106077","url":null,"abstract":"<div><div>This article presents a novel reinforcement learning (RL)-based leader/follower cascade formation control framework for a fleet of perturbed surface vehicles (SVs), aiming to achieve accurate trajectory tracking while minimizing a predefined cost function to enhance system performance. The proposed distributed control structure explicitly accounts for both the dynamic and kinematic subsystems of each SV agent. It features a hierarchical control design, where the outer loop generates high-level desired trajectories for each vehicle, and the inner loop employs an actor/critic RL strategy to derive the optimal low-level control scheme. In contrast to conventional back-stepping-based formation control methods, this approach independently addresses the dynamic and kinematic subsystems of each SV agent, enabling a more modular and robust analysis. Rigorous stability proofs are provided to ensure that tracking errors and learning errors for both individual agents and the overall closed-loop control system are uniformly and ultimately bounded (UUB). To validate the effectiveness and practicality of the proposed strategy, simulation studies are conducted with a group of five SVs, demonstrating superior performance and feasibility in achieving robust formation control under perturbations.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106077"},"PeriodicalIF":2.1,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697223","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
Data-driven harmonic output regulation of a class of nonlinear systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-23 DOI: 10.1016/j.sysconle.2025.106079
Zhongjie Hu , Claudio De Persis , John W. Simpson-Porco , Pietro Tesi
{"title":"Data-driven harmonic output regulation of a class of nonlinear systems","authors":"Zhongjie Hu ,&nbsp;Claudio De Persis ,&nbsp;John W. Simpson-Porco ,&nbsp;Pietro Tesi","doi":"10.1016/j.sysconle.2025.106079","DOIUrl":"10.1016/j.sysconle.2025.106079","url":null,"abstract":"<div><div>The paper deals with the data-based design of state-feedback controllers that solve the output regulation problem for a class of nonlinear systems. Inspired by recent developments in model-based output regulation design techniques and in data-driven control design for nonlinear systems, we derive a data-dependent semidefinite program that, when solved, directly returns a controller that steers the regulation error to a periodic signal whose Fourier series has identically zero coefficients up to a certain order set by the controller. When specialized to the case of linear systems, the result appears to improve upon existing work on data-driven regulation. Numerical results illustrate the findings.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106079"},"PeriodicalIF":2.1,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143679361","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}
引用次数: 0
Privacy-preserving distributed online mirror descent for nonconvex optimization
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-21 DOI: 10.1016/j.sysconle.2025.106078
Yingjie Zhou , Tao Li
{"title":"Privacy-preserving distributed online mirror descent for nonconvex optimization","authors":"Yingjie Zhou ,&nbsp;Tao Li","doi":"10.1016/j.sysconle.2025.106078","DOIUrl":"10.1016/j.sysconle.2025.106078","url":null,"abstract":"<div><div>We investigate the distributed online nonconvex optimization problem with differential privacy over time-varying networks. Each node minimizes the sum of several nonconvex functions while preserving the node’s privacy. We propose a privacy-preserving distributed online mirror descent algorithm for nonconvex optimization, which uses the mirror descent to update decision variables and the Laplace differential privacy mechanism to protect privacy. Unlike the existing works, the proposed algorithm allows the cost functions to be nonconvex, which is more applicable. Based upon these, we prove that if the communication network is <span><math><mi>B</mi></math></span>-strongly connected and the constraint set is compact, then by choosing the step size properly, the algorithm guarantees <span><math><mi>ϵ</mi></math></span>-differential privacy at each time. Furthermore, we prove that if the local cost functions are <span><math><mi>β</mi></math></span>-smooth, then the regret over time horizon <span><math><mi>T</mi></math></span> grows sublinearly while preserving differential privacy, with an upper bound <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msqrt><mrow><mi>T</mi></mrow></msqrt><mo>)</mo></mrow></mrow></math></span>. Finally, the effectiveness of the algorithm is demonstrated through numerical simulations.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"200 ","pages":"Article 106078"},"PeriodicalIF":2.1,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143679498","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
Almost periodic turnpike phenomenon for time-dependent systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-19 DOI: 10.1016/j.sysconle.2025.106069
Sebastián Zamorano
{"title":"Almost periodic turnpike phenomenon for time-dependent systems","authors":"Sebastián Zamorano","doi":"10.1016/j.sysconle.2025.106069","DOIUrl":"10.1016/j.sysconle.2025.106069","url":null,"abstract":"<div><div>This paper examines the turnpike behavior of a controlled system with almost periodic inputs and a cost functional that includes an almost periodic tracking term and periodic observations. Roughly speaking, we establish that the optimal state–control pair for the controlled system remains exponentially close to the optimal pair of an almost periodic problem for a substantial portion of the time during which the control system evolves. Our approach heavily relies on a thorough investigation of differential Riccati equations, periodic differential Riccati equations, and almost periodic functions.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106069"},"PeriodicalIF":2.1,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644905","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
A novel necessary and sufficient condition for the stability of 2×2 first-order linear hyperbolic systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-18 DOI: 10.1016/j.sysconle.2025.106066
Ismaïla Balogoun , Jean Auriol , Islam Boussaada , Guilherme Mazanti
{"title":"A novel necessary and sufficient condition for the stability of 2×2 first-order linear hyperbolic systems","authors":"Ismaïla Balogoun ,&nbsp;Jean Auriol ,&nbsp;Islam Boussaada ,&nbsp;Guilherme Mazanti","doi":"10.1016/j.sysconle.2025.106066","DOIUrl":"10.1016/j.sysconle.2025.106066","url":null,"abstract":"<div><div>In this paper, we establish a necessary and sufficient stability condition for a class of two coupled first-order linear hyperbolic partial differential equations. Through a backstepping transform, the problem is reformulated as a stability problem for an integral difference equation, that is, a difference equation with distributed delay. Building upon a Stépán–Hassard argument variation theorem originally designed for time-delay systems of retarded type, we then introduce a theorem that counts the number of unstable roots of our integral difference equation. This leads to the expected necessary and sufficient stability criterion for the system of first-order linear hyperbolic partial differential equations. Finally, we validate our theoretical findings through simulations.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106066"},"PeriodicalIF":2.1,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644904","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}
引用次数: 0
Data-driven dynamic periodic event-triggered control for unknown linear systems: A hybrid system approach
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-16 DOI: 10.1016/j.sysconle.2025.106067
Wan-Ling Qi , Rui Wang , Ming-Sui Yang , Zhuo-Rui Pan , Kun-Zhi Liu
{"title":"Data-driven dynamic periodic event-triggered control for unknown linear systems: A hybrid system approach","authors":"Wan-Ling Qi ,&nbsp;Rui Wang ,&nbsp;Ming-Sui Yang ,&nbsp;Zhuo-Rui Pan ,&nbsp;Kun-Zhi Liu","doi":"10.1016/j.sysconle.2025.106067","DOIUrl":"10.1016/j.sysconle.2025.106067","url":null,"abstract":"<div><div>This paper investigates the problem of data-driven dynamic periodic event-triggered mechanism (DPETC) for unknown linear time-invariant (LTI) systems. First, we construct a set of all the systems that are compatible with the collected data. In order to stabilize the true system, we need to stabilize all the systems in the set. Next, we introduce the dynamic periodic event-triggered mechanism and the entire system is reformulated as a hybrid system. Sufficient conditions for <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-stability of the hybrid system are derived under some assumptions. Then we present a new approach to obtain data-dependent synthesis conditions in the form of linear matrix inequalitys (LMIs). Finally, a numerical example and a hardware-in-the-loop (HIL) example are given to verify the effectiveness of our approach.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106067"},"PeriodicalIF":2.1,"publicationDate":"2025-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629308","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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