Chao Huang , Siliang Yu , Hyungbo Shim , Brian D.O. Anderson
{"title":"Two algorithms for distributed mode computing based on blended dynamics approach","authors":"Chao Huang , Siliang Yu , Hyungbo Shim , Brian D.O. Anderson","doi":"10.1016/j.sysconle.2025.106082","DOIUrl":"10.1016/j.sysconle.2025.106082","url":null,"abstract":"<div><div>This paper studies the distributed mode computing problem in a multi-agent system, in which each individual agent possesses a certain attribute and the agent group aims to agree upon the mode (the most frequent attribute owned by the agents) via distributed computing. Two algorithms are proposed, the first one estimates the frequency of all attributes at every agent, and then identifies the most frequent attribute as the mode; the second is based on a distributed consensus protocol that renders all the agents agreeing on an attribute whose frequency is no less than a given threshold. This protocol is then used as the main building block to compute the mode via a branch-and-bound algorithm. Analysis of both algorithms establishes finite time convergence and is based on the blended dynamics approach.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106082"},"PeriodicalIF":2.1,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875064","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":"Representation of practical nonsmooth control Lyapunov functions by piecewise affine functions and neural networks","authors":"Lars Grüne , Mario Sperl , Debasish Chatterjee","doi":"10.1016/j.sysconle.2025.106103","DOIUrl":"10.1016/j.sysconle.2025.106103","url":null,"abstract":"<div><div>In this paper we give conditions under which control Lyapunov functions exist that can be represented by either piecewise affine functions or by neural networks with a suitable number of ReLU layers. The results provide a theoretical foundation for recent computational approaches for computing control Lyapunov functions with optimization-based and machine-learning techniques.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106103"},"PeriodicalIF":2.1,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143858773","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":"Event-triggered predefined-time tracking control for uncertain nonlinear systems with constraints related to full state information","authors":"Lihong Gao , Zhen Wang , Xia Huang , Hao Shen , Jianwei Xia","doi":"10.1016/j.sysconle.2025.106104","DOIUrl":"10.1016/j.sysconle.2025.106104","url":null,"abstract":"<div><div>This paper addresses the event-triggered predefined-time tracking control problem for a class of uncertain nonlinear systems with unmeasurable and constrained states. State observers are designed to estimate unmeasurable states. Additionally, coordinate transformations and barrier Lyapunov functions are employed to handle state constraints effectively. An event-triggered mechanism with a switching threshold is introduced to save communication resources while preventing Zeno behavior. The proposed control strategy ensures that all closed-loop system signals remain bounded, state constraints are satisfied, and the tracking error converges to a small neighborhood of the origin within a predefined time. The effectiveness of the proposed approach is validated through a numerical example and the Van Der Pol oscillator.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106104"},"PeriodicalIF":2.1,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143858771","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":"Uniformly absolute exponential and polynomial stability of semi-discrete approximations for wave equation under nonlinear boundary control","authors":"Bao-Zhu Guo , Yi Wang","doi":"10.1016/j.sysconle.2025.106101","DOIUrl":"10.1016/j.sysconle.2025.106101","url":null,"abstract":"<div><div>In this paper, we apply an order reduction semi-discretization scheme to a wave equation subject to nonlinear boundary control, achieving uniform stability that encompasses both exponential and polynomial stability, with uniformly absolute stability as special cases. Firstly, we showcase that the energy decay rate of the classical finite difference semi-discretized system fails to maintain uniformity with respect to the mesh size, approaching zero as mesh size tends to zero. Next, we propose a finite difference semi-discretization scheme that using the order reduction method and prove that it maintains uniform exponential or polynomial stability with respect to the mesh size. Additionally, we establish the weak convergence of the discrete solution to the continuous solution. Lastly, we conduct numerical experiments to illustrate the non-uniform stabilization of the classical finite difference semi-discretized system in relation to mesh size and validate the effectiveness of the numerical scheme derived from the finite difference method based on order reduction.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"202 ","pages":"Article 106101"},"PeriodicalIF":2.1,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143858702","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":"Stability criterion for linear commensurate delay systems: A Lyapunov matrix and piecewise constant discretization approach","authors":"Irina V. Alexandrova, 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}
{"title":"Deep learning for conditional McKean–Vlasov jump diffusions","authors":"Nacira Agram , 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}
{"title":"Repetitive control tools for an original approach to convex optimization problems under affine periodic constraints","authors":"Daniele Astolfi , 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}
{"title":"Adaptive event-triggered stabilization without overparametrization for a class of nonlinear hyperbolic ODE–PDE–ODE systems","authors":"Jian Li, Meng Wang, 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}
{"title":"State constrained control strategy for stochastic nonlinear systems based on small gain and tangent function properties","authors":"Yang Chen, 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}
{"title":"Feedback control of coupled nonlinear oscillators with uncertain parameters","authors":"Bharat Singhal, 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}