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Stability criterion for linear commensurate delay systems: A Lyapunov matrix and piecewise constant discretization approach 线性相称延迟系统的稳定性判据：Lyapunov矩阵和分段常数离散化方法
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-23 DOI: 10.1016/j.sysconle.2025.106112
Irina V. Alexandrova, Aleksandr I. Belov
{"title":"Stability criterion for linear commensurate delay systems: A Lyapunov matrix and piecewise constant discretization approach","authors":"Irina V. Alexandrova,&nbsp;Aleksandr I. Belov","doi":"10.1016/j.sysconle.2025.106112","DOIUrl":"10.1016/j.sysconle.2025.106112","url":null,"abstract":"<div><div>In this work, a new exponential stability criterion of finite dimension based on the delay Lyapunov matrix is derived for linear systems with multiple commensurate delays. It relies on a simple piecewise constant approximation of the matrix kernels of functionals with prescribed derivatives followed by the explicit error bound. The criterion combines an elegant structure of the block matrix, whose positive definiteness is to be tested, with a reasonable matrix dimension.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106112"},"PeriodicalIF":2.1,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143858772","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
Deep learning for conditional McKean–Vlasov jump diffusions 条件McKean-Vlasov跳扩散的深度学习
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-21 DOI: 10.1016/j.sysconle.2025.106100
Nacira Agram , Jan Rems
{"title":"Deep learning for conditional McKean–Vlasov jump diffusions","authors":"Nacira Agram ,&nbsp;Jan Rems","doi":"10.1016/j.sysconle.2025.106100","DOIUrl":"10.1016/j.sysconle.2025.106100","url":null,"abstract":"<div><div>The current paper focuses on using deep learning methods to optimize the control of conditional McKean–Vlasov jump diffusions. We begin by exploring the dynamics of multi-particle jump-diffusion and presenting the propagation of chaos. The optimal control problem in the context of conditional McKean–Vlasov jump-diffusion is introduced along with the verification theorem (HJB equation). A linear quadratic conditional mean-field (LQ CMF) is discussed to illustrate these theoretical concepts. Then, we introduce a deep-learning algorithm that combines neural networks for optimization with path signatures for conditional expectation estimation. The algorithm is applied to practical examples, including LQ CMF and interbank systemic risk, and we share the resulting numerical outcomes.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"201 ","pages":"Article 106100"},"PeriodicalIF":2.1,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851894","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
Repetitive control tools for an original approach to convex optimization problems under affine periodic constraints 重复控制工具为仿射周期约束下的凸优化问题提供了一种新颖的方法
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-17 DOI: 10.1016/j.sysconle.2025.106095
Daniele Astolfi , Cristiano M. Verrelli
{"title":"Repetitive control tools for an original approach to convex optimization problems under affine periodic constraints","authors":"Daniele Astolfi ,&nbsp;Cristiano M. Verrelli","doi":"10.1016/j.sysconle.2025.106095","DOIUrl":"10.1016/j.sysconle.2025.106095","url":null,"abstract":"<div><div>This paper provides a solution to the online convex optimization problem under a class of affine constraints, periodic with a known period. Functions whose minimizer vector exhibits a constant component within the kernel space of the constraint horizontal matrix are considered. By resorting to the latest developments in the repetitive control (RC) theory, two algorithms are originally presented: the first one resorting to the point-wise use of the delay as a universal periodic signal generator, the second one relying on the PDE (Partial Differential Equation) transport-equation-based theory. Both of them naturally extend the standard primal–dual algorithm acting in the constant constraint scenario, while guaranteeing global asymptotic convergence properties. Indeed, the two main different RC approaches in the literature are applied to the same optimization problem, while drawing original conclusions under the adoption of a common view. The derivation of an internal-model-based finite-dimensional (spectral) approximation for the latter introduces a further interpretation of the renowned adaptive learning control.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"201 ","pages":"Article 106095"},"PeriodicalIF":2.1,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838983","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
Adaptive event-triggered stabilization without overparametrization for a class of nonlinear hyperbolic ODE–PDE–ODE systems 一类非线性双曲ODE-PDE-ODE系统无过参数化自适应事件触发镇定
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-15 DOI: 10.1016/j.sysconle.2025.106098
Jian Li, Meng Wang, Zhaojing Wu
{"title":"Adaptive event-triggered stabilization without overparametrization for a class of nonlinear hyperbolic ODE–PDE–ODE systems","authors":"Jian Li,&nbsp;Meng Wang,&nbsp;Zhaojing Wu","doi":"10.1016/j.sysconle.2025.106098","DOIUrl":"10.1016/j.sysconle.2025.106098","url":null,"abstract":"<div><div>This paper is devoted to the event-triggered stabilization of a class of nonlinear hyperbolic ODE–PDE–ODE systems. The system under investigation is remarkably characterized by the unknown nonlinear terms involved in the boundary actuator which are not necessarily linearly grow or parameterized by unknown constants, and hence imply more serious uncertainties and nonlinearities than those of the related literature. Such a feature results into the incapability of the traditional schemes on this topic and then deserves a powerful one for the investigated control problem. For this, a novel adaptive control method is proposed by combining the infinite- and finite-dimensional backstepping method with the adaptive dynamic compensation technique, which brings an explicit state-feedback controller. Particularly, by a smart redefinition of the unknown parameter and the introduction of certain tuning functions, only one dynamic compensator is needed for the compensation of the serious uncertainties, and hence removes the overparametrization in the related literature. A rigorous proof procedure shows the boundedness of the signals of the resulting closed-loop system and the convergence of the original system states, together with the exclusion of the Zeno phenomenon. Finally, a simulation example is provided to validate the effectiveness of the proposed theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"201 ","pages":"Article 106098"},"PeriodicalIF":2.1,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834945","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
State constrained control strategy for stochastic nonlinear systems based on small gain and tangent function properties 基于小增益和正切函数特性的随机非线性系统状态约束控制策略
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-08 DOI: 10.1016/j.sysconle.2025.106099
Yang Chen, Yukun Song
{"title":"State constrained control strategy for stochastic nonlinear systems based on small gain and tangent function properties","authors":"Yang Chen,&nbsp;Yukun Song","doi":"10.1016/j.sysconle.2025.106099","DOIUrl":"10.1016/j.sysconle.2025.106099","url":null,"abstract":"<div><div>In stochastic system control, the existence of randomness makes it challenging to limit the system state within the required range. The objective of this paper is to design a small gain adaptive controller with state constraints in the presence of uncertain factors such as unknown covariance noise and interference. A property of tangent barrier function is investigated, so that barrier Lyapunov function can be novel imbedded into the small gain controller and there is no violation of the time-varying constraints in the stochastic setting. Meanwhile, it has provided a detailed explanation in the remarks regarding the relationship between the new properties and the differential homeomorphism transformation method. Under the framework of the backstepping method, the combination of changing supply function and the small gain approach is used to obtain the stochastic input-to-state practically stability Lyapunov function of the subsystem, overcoming the influence of unknown covariance noise, unknown dynamics, and unknown parameters. Experimental results have shown the effectiveness of the entire system design.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"201 ","pages":"Article 106099"},"PeriodicalIF":2.1,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790998","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
Feedback control of coupled nonlinear oscillators with uncertain parameters 参数不确定耦合非线性振荡器的反馈控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-08 DOI: 10.1016/j.sysconle.2025.106084
Bharat Singhal, Jr-Shin Li
{"title":"Feedback control of coupled nonlinear oscillators with uncertain parameters","authors":"Bharat Singhal,&nbsp;Jr-Shin Li","doi":"10.1016/j.sysconle.2025.106084","DOIUrl":"10.1016/j.sysconle.2025.106084","url":null,"abstract":"<div><div>The effective control of synchronization patterns in an oscillator ensemble is essential for optimal functioning of natural and engineered systems, with applications across diverse domains, including power systems, robotics, and medical device development. In this work, we address the problem of designing a feedback law to establish a desired synchronization structure in a pair of oscillators with model uncertainties. These oscillators are modeled using phase models with uncertainties in their phase response curves and oscillation frequencies. Our principle idea is to design a switching input by utilizing the periodicity of system dynamics. The input parameters for this switching strategy are determined by solving a simple convex quadratic program with inequality constraints. In addition, we derive analytic expressions of feedback inputs for anti-phase and in-phase synchronization of a pair of sinusoidal and SNIPER phase oscillators. The effectiveness of the proposed approach is demonstrated on both phase models and complex biophysical models of spiking neurons.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"201 ","pages":"Article 106084"},"PeriodicalIF":2.1,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790914","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
Adaptive boundary observer for Euler–Bernoulli beam equations with nonlinear dynamics and parameter uncertainties 具有非线性动力学和参数不确定性的欧拉-伯努利梁方程的自适应边界观测器
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-04-07 DOI: 10.1016/j.sysconle.2025.106096
Ruixin Wu, Yu Xiao, Xiaodong Xu
{"title":"Adaptive boundary observer for Euler–Bernoulli beam equations with nonlinear dynamics and parameter uncertainties","authors":"Ruixin Wu,&nbsp;Yu Xiao,&nbsp;Xiaodong Xu","doi":"10.1016/j.sysconle.2025.106096","DOIUrl":"10.1016/j.sysconle.2025.106096","url":null,"abstract":"<div><div>This paper focuses on designing boundary adaptive observers for systems that can be modeled as Euler–Bernoulli beams and are represented by fourth-order partial differential equations. Specifically, the objective is to estimate the entire state of the beam solely based on measurements taken at its boundaries. The difficulty of this study lies not only in the uncertain parameters contained in the boundary and domain of the beam but also in taking into account the interior nonlinearity in-domain. Unlike many observers in adaptive control frameworks that do not require accurate estimation of unknown parameters, our approach is dedicated to accurately estimating both the system state and the unknown parameters. The crucial element in the design process of the adaptive observer is the introduction of a kind of finite-dimensional backstepping-like transformation, based on which we can transform the observer error system into the desired system. Then, we can use common parameter estimation methods, allowing the design of the parameter adaptive law to be decoupled from the choice of the state estimator. Using Lyapunov stability analysis, we show that the observer converges exponentially under persistent excitation conditions. Numerical simulations also demonstrate the effectiveness of the observer.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"201 ","pages":"Article 106096"},"PeriodicalIF":2.1,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786277","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
Positive limit set in novel hybrid systems with interactions between differential dynamics and evolutionary games 具有微分动力学和进化博弈相互作用的新型混合系统的正极限集
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 多输入多输出系统的高效三阶段极大似然递归最小二乘辨识方法
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 非线性衰落记忆系统小相位定理的充要性
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
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