Systems & Control Letters最新文献

{"title":"Robust linear–quadratic mean-field-team with heterogeneous beliefs","authors":"Xinwei Feng ,&nbsp;Jianhui Huang ,&nbsp;Yunxiao Jia","doi":"10.1016/j.sysconle.2025.106266","DOIUrl":"10.1016/j.sysconle.2025.106266","url":null,"abstract":"<div><div>We study a new class of mean-field-team problems with model uncertainty. Compared with other uncertainty works, one novel feature in our modeling is the presence of two weakly-coupled <em>cooperative</em> sub-systems in a large population context, both of which face the same model uncertainty but have different degrees or beliefs regarding it. Note that such belief gap cannot be filled because of the intrinsic <em>distributed</em> information across agents in a team formation so communications are not allowed. A natural issue then is how to construct a robust cooperative team strategy to realize the social optima for the two sub-systems on a worst-case basis, while taking into account the asymmetric beliefs of uncertainty. We examine this issue through a two-step scheme. As illustration, the first step is primarily for sake of completion and comparison purpose, by postulating the two sub-systems are symmetric with model certainty. In this case, we verify a <em>commutative equivalence principle</em> that shows it makes no difference for these sub-systems to utilize the team strategies in either <em>asynchronous</em> (leader–follower) or <em>synchronous</em> (Nash) patterns. By contrast, the second step tackles the case with (asymmetric) uncertainties, and shows that the commutative equivalence no longer holds true. We discuss the Nash robust design in details since it is more efficient in practice. Specifically, applying the soft constraint analysis on two sub-systems but with distinct attenuation penalties, we analyze the related Nash equilibrium of robust design, and derive an augmented <em>mirrored</em> consistency system from a robust but bilateral Nash perspective reflecting the uncertainty distinctions.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"206 ","pages":"Article 106266"},"PeriodicalIF":2.5,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145420028","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":"Asymptotically consistent identification of FIR systems with binary-valued observations subject to sequence-type replay attacks","authors":"Wenyang Jiang ,&nbsp;Fenghe Li ,&nbsp;Qingxiang Zhang ,&nbsp;Fengwei Jing ,&nbsp;Jin Guo","doi":"10.1016/j.sysconle.2025.106286","DOIUrl":"10.1016/j.sysconle.2025.106286","url":null,"abstract":"<div><div>This paper investigates asymptotically consistent identification for finite impulse response (FIR) systems with binary-valued observations subject to sequence-type replay attacks. First, based on the attack frequency, all defense methods are categorized into two scenarios: known attack frequency and unknown attack frequency. Second, for these two cases, their respective convergence and asymptotic normality are analyzed. When the attack frequency is known, an improved identification algorithm based on error compensation is designed. For the unknown attack frequency scenario, the identifiability of the replay attack sequence is creatively analyzed, and an identification algorithm is developed to achieve optimal estimation accordingly. Finally, numerical simulations are conducted to validate the effectiveness of the proposed methods.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"206 ","pages":"Article 106286"},"PeriodicalIF":2.5,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145467988","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":"L∞/L2 Hankel norm analysis of linear periodically time-varying systems and detection of critical instants","authors":"Tomomichi Hagiwara ,&nbsp;Taichi Yuyama ,&nbsp;Jung Hoon Kim","doi":"10.1016/j.sysconle.2025.106235","DOIUrl":"10.1016/j.sysconle.2025.106235","url":null,"abstract":"&lt;div&gt;&lt;div&gt;This paper deals with the Hankel norm analysis of linear periodically time-varying (LPTV) systems, where &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; is taken as the (past) input space and the (future) output is regarded as an element in &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;. This norm is known to be important because of its coincidence with the well-known &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; norm for the special case of single-output linear time-invariant systems. For the period &lt;span&gt;&lt;math&gt;&lt;mi&gt;h&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; of LPTV systems, an arbitrary instant &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Θ&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;[&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;h&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; is first taken to separate past and future, and then the quasi &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; Hankel norm at &lt;span&gt;&lt;math&gt;&lt;mi&gt;Θ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is defined. A computation method for the quasi &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; Hankel norm for each &lt;span&gt;&lt;math&gt;&lt;mi&gt;Θ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is further derived, and for &lt;em&gt;the&lt;/em&gt; &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; Hankel norm defined as the supremum of the quasi &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; Hankel norms over &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Θ&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;[&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;h&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, its alternative and direct computation method is also provided, which is actually completely free from dealing with any quasi &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; Hankel norms. A relevant question of whether the supremum is attained as the maximum is also studied, in which case each maximum-attaining &lt;span&gt;&lt;math&gt;&lt;mi&gt;Θ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is called a critical instant. In particular, it is discussed when and how the existence/absence of a critical instant can be determined and some or all critical instants can be detected without directly computing all (or any of) the quasi &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; Hankel norms over &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Θ&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;[&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;h&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. Finally, numerical example","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106235"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145106525","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":"A new criterion on stability in distribution for hybrid neutral stochastic delay systems","authors":"Han Yu ,&nbsp;Song Zhu ,&nbsp;Huabin Chen ,&nbsp;Shiping Wen ,&nbsp;Chaoxu Mu","doi":"10.1016/j.sysconle.2025.106269","DOIUrl":"10.1016/j.sysconle.2025.106269","url":null,"abstract":"<div><div>For a category of highly nonlinear hybrid stochastic delay systems, its stability in distribution is investigated. To allow the model to better capture the dependence of the system on past states, the structure with unbounded non-differentiable time delay and neutral term is further considered. The global solution, as an essential step in studying stochastic systems, a generalized Hasminskii-type theorem is initially formulated to explain its existence and uniqueness. Then, we present several significant lemmas to explore the stability in distribution of this system and propose some sufficient conditions. The results obtained are confirmed using examples to ensure their precision and credibility.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106269"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145362673","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":"Observations on robust diffusive stability and common Lyapunov functions","authors":"Blake McGrane-Corrigan ,&nbsp;Rafael de Andrade Moral ,&nbsp;Oliver Mason","doi":"10.1016/j.sysconle.2025.106263","DOIUrl":"10.1016/j.sysconle.2025.106263","url":null,"abstract":"<div><div>We consider the problem of robust diffusive stability for a pair of coupled stable discrete-time positive linear-time invariant (LTI) systems. We first show that the existence of a common diagonal Lyapunov function is sufficient for robust diffusive stability, and highlight how this condition differs from recent results using linear copositive Lyapunov functions. We also present an extension of these results, showing that the weaker condition of <em>joint</em> linear copositive function existence is also sufficient for robust diffusive stability. Finally, we present two related results for extended Leslie matrices arising in population dynamics.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106263"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145267876","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":"Incremental stability analysis of random nonlinear systems with an application to random Lagrange systems","authors":"Ticao Jiao ,&nbsp;Yuxia Li ,&nbsp;Haibin Sun","doi":"10.1016/j.sysconle.2025.106232","DOIUrl":"10.1016/j.sysconle.2025.106232","url":null,"abstract":"<div><div>This paper is intended to investigate the incremental stability analysis of random nonlinear systems with colored noise and its application to random Lagrange systems. Under an analysis of the dynamical features of the considered random nonlinear systems, the definitions of incremental noise-to-state stability and incrementally asymptotic stability with respect to preliminary conditions and/or random processes are proposed. By introducing two extended forms of the original system, relevant incremental stability conditions are established based on Lyapunov functions with time-varying derivatives. We further provide an easily verifiable incremental noise-to-state stability result by using quadratic Lyapunov functions. To explain the application value of our devised results, an incremental stability control problem of random Lagrange systems is solved with the aid of a vector backstepping approach. We at last demonstrate the efficacy of our work through numerical simulations.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106232"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145106524","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":"Constructive method for unbiased extremum seeking of static maps in the presence of delays","authors":"Adam Jbara ,&nbsp;Emilia Fridman ,&nbsp;Xuefei Yang","doi":"10.1016/j.sysconle.2025.106256","DOIUrl":"10.1016/j.sysconle.2025.106256","url":null,"abstract":"<div><div>In this paper, we study the unbiased extremum seeking (ES) algorithm for n-dimensional uncertain quadratic static maps in the presence of time-varying measurement delays. For the first time, we present a quantitative analysis of the unbiased ES. We consider delays with a large known constant part and a small time-varying uncertainty. Such delays may arise when measurements together with a time stamp are transmitted to ES controller via communication network. For the quantitative bounds, we assume that the Hessian is uncertain from a known range. By applying a delay-free transformation, explicit quantitative conditions in terms of simple scalar inequalities depending on the tuning parameters are established which ensure the exponential unbiased convergence of the ES system. Moreover, the corresponding results for the classical ES are presented. For globally quadratic maps, our results are semi-global, whereas for locally quadratic static maps, we provide a bound for the region of convergence. Appropriate ES parameters can be found for any large known delay and small enough delay uncertainty. Two numerical examples from the literature illustrate the efficiency of the proposed method.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106256"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220780","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":"Power-constrained networked process control system design","authors":"Alejandro J. Rojas ,&nbsp;Hugo O. Garcés","doi":"10.1016/j.sysconle.2025.106231","DOIUrl":"10.1016/j.sysconle.2025.106231","url":null,"abstract":"<div><div>Networked control systems (NCSs) operate at the interface between the physical world and cyberspace enabling the realization of emergent cyber–physical systems that can be controlled over long distance, potentially even from the cloud, thereby reducing the complexity associated with wired solutions. Networked process control systems (NPCSs), as proposed herein, incorporate the challenges inherent in NCS design within the context of process control (the application of automatic control theory). For this purpose, the essential components of an NPCS are considered to be: on the process side, the presence of dominant unstable dynamics, modeled by a first-order (or at most a second-order) transfer function; and on the network side, the presence of additive white noise (AWN) channels on both over the control and feedback paths. The contribution of this work lies in the development of new optimal designs for the stabilization of a first-order unstable NPCS that minimize the associated channel power constraints, thereby mitigating signal distortion, and preserving battery life in cases where the transmitters are not connected to an external power supply. The NPCS optimal controller configures the closed loop dynamics to exhibit a repeated stable pole, while simultaneously minimizing one of the following objectives: the input power of the AWN channel over the control path; the input power of the AWN channel over the feedback path; or the sum of the input powers of both AWN channels, all under a constant reference signal. To illustrate the theoretical developments, a first-principles-based linearized ball and beam model is derived, demonstrating the effectiveness of the proposed NPCS optimal controller designs, and their properties, in comparison to those of a classical proportional-integral (PI) design. The contributions presented in this work are readily extendable to any arbitrary linear plant model possessing a single unstable pole.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106231"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145046684","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 boundary estimation for uncertain cascaded hyperbolic PDE-ODEs","authors":"Chen Yang,&nbsp;Yan Zhao,&nbsp;Shengyuan Xu,&nbsp;Baoyong Zhang","doi":"10.1016/j.sysconle.2025.106243","DOIUrl":"10.1016/j.sysconle.2025.106243","url":null,"abstract":"<div><div>The paper is concerned with the adaptive boundary estimation problem for a class of hyperbolic partial differential equations (PDEs) cascaded with a set of ordinary differential equations (ODEs). The cascade system consists of <span><math><mrow><mi>n</mi><mo>×</mo><mi>n</mi></mrow></math></span> coupled hyperbolic PDEs, subject to uncertain parameters in domain and the ODEs entering the PDEs through the left boundary of the PDEs. The adaptive boundary observer is designed to estimate the system state and the unknown parameters. In order to facilitate the design of the observer, the observer error system is transformed into a target system by a Volterra integral transformation and a state transformation, and then a swapping filter design method is proposed by combining the method of least-squares with a variable forgetting factor. The stability analysis shows the exponential convergence of both the state estimation error and the parameter estimation error under the persistent excitation condition of the filter. Finally, the obtained theoretical results are applied to the linearized Aw–Rascle–Zhang (ARZ) traffic flow model involving the in-domain relaxation time and the boundary flux fluctuation uncertainties, which verifies the effectiveness of the proposed method.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106243"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145106527","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":"Quasi-synchronization of heterogeneous networks with Lévy noise and semi-Markov jump via intermittent delay sampled-data control","authors":"Mengdie Xiao ,&nbsp;Xiaofeng Xu ,&nbsp;Ming Liu","doi":"10.1016/j.sysconle.2025.106252","DOIUrl":"10.1016/j.sysconle.2025.106252","url":null,"abstract":"<div><div>We mainly study the quasi-synchronization problem of heterogeneous networks in the presence of Lévy noise and semi-Markov jumps. In terms of controller design, we propose two schemes: one is intermittent delay sampled-data control, and the other is time-varying intermittent delay sampled-data control. Both schemes are based on intermittent delay control and integrate the characteristics of time-varying gain and state sampling. Different from the previous continuous and uninterrupted sampling control, their significant advantage lies in the adoption of discrete data sampling, which improves efficiency and saves costs to a certain extent. Among them, the time-varying intermittent delay sampled-data control further enhances the adaptability to complex dynamic environments by dynamically adjusting the control gain. In addition, by combining the auxiliary timer with the Lyapunov method, we obtain the inequality criteria required to achieve quasi-synchronization and derive two different sampling error estimates. Finally, we carefully select Chua’s circuit for relevant numerical simulations to verify the effectiveness of these theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106252"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145320802","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}