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Interval estimation for continuous-time linear switched systems via ellipsoidal analysis 基于椭球分析的连续时间线性切换系统区间估计
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-04 DOI: 10.1016/j.nahs.2026.101675
Fan Zhang , Zhenhua Wang , Nacim Meslem , Tarek Raïssi , Yi Shen
{"title":"Interval estimation for continuous-time linear switched systems via ellipsoidal analysis","authors":"Fan Zhang ,&nbsp;Zhenhua Wang ,&nbsp;Nacim Meslem ,&nbsp;Tarek Raïssi ,&nbsp;Yi Shen","doi":"10.1016/j.nahs.2026.101675","DOIUrl":"10.1016/j.nahs.2026.101675","url":null,"abstract":"<div><div>This paper proposes a two-step interval estimation approach for continuous-time linear switched systems with unknown but bounded uncertainties. First, a robust observer design method is proposed to obtain point estimation and attenuate the effects of the system uncertainties. Second, based on a system split method, an ellipsoidal analysis method is introduced to provide the smallest enclosures of the estimation error. By merging the interval evaluation of the estimation error with the point estimate provided by the robust observer, the proposed method allows one to obtain a tight interval estimation of the actual state vector with less restrictive and simple design conditions. The proposed method solves the interval estimation problem for switched systems in two cases: switched systems under an arbitrary switching signal and switched systems under an average dwell time switching condition. In terms of accuracy, comparison studies show that the proposed method outperforms some existing methods in the literature.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101675"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145938593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Funnel-based output tracking control for nonlinear impulsive switched systems 非线性脉冲切换系统的漏斗输出跟踪控制
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-01 DOI: 10.1016/j.nahs.2025.101661
Atiyeh Karimi Pour , Stephan Trenn , Moosa Ayati , Mohammad Reza Zakerzadeh
{"title":"Funnel-based output tracking control for nonlinear impulsive switched systems","authors":"Atiyeh Karimi Pour ,&nbsp;Stephan Trenn ,&nbsp;Moosa Ayati ,&nbsp;Mohammad Reza Zakerzadeh","doi":"10.1016/j.nahs.2025.101661","DOIUrl":"10.1016/j.nahs.2025.101661","url":null,"abstract":"<div><div>We study output tracking for nonlinear impulsive switched systems with global relative degree one under prescribed performance requirements. Classical funnel control is not directly applicable in this setting, since output jumps can cause violations of funnel constraints. To address this, we design an adjusted funnel boundary that contracts prior to jumps and expands afterward, computed offline based on the stability of the internal dynamics and bounded jump maps. We also derive sufficient conditions ensuring bounded control input. To obtain tighter bounds, practical ISS is employed in place of BIBO stability, yielding smaller input requirements. Additional refinements include asymmetric jump bounds, level-set adjustments, and real-time funnel adaptation, which further improve performance. Numerical examples confirm stability and practical tracking under disturbance impulses and switching.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101661"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Switched-gain observer and stabilization of positive complex networks 正复杂网络的开关增益观测器与镇定
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-09 DOI: 10.1016/j.nahs.2026.101676
Qingquan Xu , Haoyue Yang , Tarek Raïssi , Junfeng Zhang
{"title":"Switched-gain observer and stabilization of positive complex networks","authors":"Qingquan Xu ,&nbsp;Haoyue Yang ,&nbsp;Tarek Raïssi ,&nbsp;Junfeng Zhang","doi":"10.1016/j.nahs.2026.101676","DOIUrl":"10.1016/j.nahs.2026.101676","url":null,"abstract":"<div><div>This paper presents a switched-gain observer and the corresponding observer-based controller for positive complex networks. An observer-based control approach is proposed using co-positive Lyapunov function and linear programming. A switching rule is established for the resulting hybrid observation system. The designed observer gain can be dynamically adjusted according to the change of state. State estimation is utilized to generate control signals. Under the designed observer and controller, the positivity and stability of the system are guaranteed. The main novelties of this paper lie in that: (i) A novel switched-gain observer is designed for positive complex networks, (ii) An observer-based controller is proposed, and (iii) A tractable design and analysis approach is developed using a co-positive Lyapunov function and linear programming. Finally, several illustrated examples are given to verify the validity of the proposed observer and controller.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101676"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145938594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Input-to-state stability in discrete-time stochastic delay systems featuring Markovian switching and impulsive effects 具有马尔可夫切换和脉冲效应的离散随机延迟系统的输入-状态稳定性
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-28 DOI: 10.1016/j.nahs.2026.101685
Ting Cai , Pei Cheng , Xin Liu
{"title":"Input-to-state stability in discrete-time stochastic delay systems featuring Markovian switching and impulsive effects","authors":"Ting Cai ,&nbsp;Pei Cheng ,&nbsp;Xin Liu","doi":"10.1016/j.nahs.2026.101685","DOIUrl":"10.1016/j.nahs.2026.101685","url":null,"abstract":"<div><div>This paper primarily investigates the <span><math><mi>p</mi></math></span>th moment exponential input-to-state stability (ISS) of nonlinear discrete-time (DT) impulse random delayed systems with Markovian switching. Firstly, by using the Lyapunov functional, some <span><math><mi>p</mi></math></span>th moment exponential ISS criteria are presented, which simultaneously consider the unstable and stable effects of switching behavior and impulses. These criteria demonstrate that, regardless of the original system’s stability, proper coordination of impulses, switching, and the original system can achieve stability. Secondly, we apply these theoretical results to assess the ISS of a specific class of neural networks (NNs) subjected to random disturbances. The findings are further substantiated by numerical examples that demonstrate their effectiveness. The research in this paper is of significant importance for addressing stability issues in DT impulse random delayed systems with Markovian switching. It provides valuable insights for control and optimization problems in practical applications.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101685"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Asymptotic behavior of solutions to stochastic differential equations driven by tempered fractional Brownian motion with Markovian switching 带马尔可夫切换的回火分数阶布朗运动随机微分方程解的渐近行为
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2025-12-10 DOI: 10.1016/j.nahs.2025.101669
Zhi Li , Yulin Du , Meiqian Liu , Liping Xu , Litan Yan
{"title":"Asymptotic behavior of solutions to stochastic differential equations driven by tempered fractional Brownian motion with Markovian switching","authors":"Zhi Li ,&nbsp;Yulin Du ,&nbsp;Meiqian Liu ,&nbsp;Liping Xu ,&nbsp;Litan Yan","doi":"10.1016/j.nahs.2025.101669","DOIUrl":"10.1016/j.nahs.2025.101669","url":null,"abstract":"<div><div>In this paper, we investigate a class of stochastic differential equations with Markovian switching driven by tempered fractional Brownian motion. First, we develop some generalized Itô formula and capture some sufficient conditions to guarantee the solutions to be stable in several different senses in terms of Lyapunov functions. Subsequently, by using the generalized Itô formula and stopping time techniques, we obtain some sufficient conditions ensuring the non-confluence property for the considered equations. Additionally, we present two important corollaries on the non-confluence property by the Poisson equation and <span><math><mi>M</mi></math></span>-matrix, respectively, which can verify the non-confluence property more effectively than the general condition. Finally, we provide an example to illustrate the practical usefulness of our theoretical results.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101669"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 stability and optimality certificates for hybrid dynamical systems 混合动力系统的数据驱动稳定性和最优性证明
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-22 DOI: 10.1016/j.nahs.2026.101678
Carlos A. Montenegro G., Santiago J. Leudo, Ricardo G. Sanfelice
{"title":"Data-driven stability and optimality certificates for hybrid dynamical systems","authors":"Carlos A. Montenegro G.,&nbsp;Santiago J. Leudo,&nbsp;Ricardo G. Sanfelice","doi":"10.1016/j.nahs.2026.101678","DOIUrl":"10.1016/j.nahs.2026.101678","url":null,"abstract":"<div><div>In this paper, we develop a learning-based approach for hybrid systems with a twofold purpose: (i) the construction of Lyapunov functions and (ii) the computation of upper bounds on the cost of system solution. Our approach enforces stability and cost conditions on a finite collection of states and then, by exploiting regularity properties of the system dynamics and stage-cost maps, extends these conditions to all relevant unsampled states. Neural networks are used to learn both a Lyapunov function surrogate and a value-like function whose regularity properties allow us to certify stability (in a <em>practical</em> sense) of a compact set or to find an upper bound on the cost of solutions, which are not required to be unique. We illustrate the approach on nonlinear continuous-time and discrete-time systems, as well as on a hybrid system modeled by set-valued dynamics.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101678"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Conical transition graphs for analysis of asymptotic stability in hybrid dynamical systems 混合动力系统渐近稳定性分析的锥形过渡图
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-02 DOI: 10.1016/j.nahs.2025.101660
Paul K. Wintz , Ricardo G. Sanfelice
{"title":"Conical transition graphs for analysis of asymptotic stability in hybrid dynamical systems","authors":"Paul K. Wintz ,&nbsp;Ricardo G. Sanfelice","doi":"10.1016/j.nahs.2025.101660","DOIUrl":"10.1016/j.nahs.2025.101660","url":null,"abstract":"<div><div>A method is proposed for analyzing asymptotic stability in conical hybrid systems with modes. A conical hybrid system is a hybrid system where the state is mapped linearly at jumps and flows according to a constant or linear flow maps during flows, and where the flow and jump sets are conical. Specifically, this paper introduces the conical transition graph (CTG) to simplify the analysis of asymptotic stability in conical approximations by converting solutions to a hybrid system into walks through a discrete graph. By exploiting the fact that pre-asymptotic stability in a conical approximation implies pre-asymptotic stability in the original system, a CTG-based approach can establish asymptotic stability in hybrid systems that have nonlinear flow maps and jump maps without needing to construct a Lyapunov function. Discussion of how to reduce the size of the CTG allow for applying CTG analysis to systems where the CTG would have infinitely many vertices.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101660"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Maximum period construction and nonsingularity analysis of NFSR with fault resistance 带故障电阻的NFSR最大周期构造及非奇异性分析
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-05-01 Epub Date: 2026-01-03 DOI: 10.1016/j.nahs.2026.101677
Jiangying Li , Hao Zhang , Chengye Zou , Feifei Yang , Haonan Li
{"title":"Maximum period construction and nonsingularity analysis of NFSR with fault resistance","authors":"Jiangying Li ,&nbsp;Hao Zhang ,&nbsp;Chengye Zou ,&nbsp;Feifei Yang ,&nbsp;Haonan Li","doi":"10.1016/j.nahs.2026.101677","DOIUrl":"10.1016/j.nahs.2026.101677","url":null,"abstract":"<div><div>Nonlinear feedback shift register (NFSR) is an important method to generate pseudorandom sequences and its robustness needs to be acknowledged. This paper investigates the robustness of NFSR with fault detection and handling capabilities via semi-tensor product (STP). Firstly, the NFSR model with fault is constructed and the nonsingularity criteria of this model are derived. Secondly, an efficient fault detection mechanism is designed to find the fault node and controllers are introduced to eliminate the impact of fault. Thus, the studied NFSR maintains nonsingular after control. Finally, the period of the controlled NFSR is optimized to the maximum, such that the pseudorandomness of generated sequence has been enhanced.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"60 ","pages":"Article 101677"},"PeriodicalIF":3.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Consensus over clustered networks using intermittent and asynchronous output feedback 使用间歇和异步输出反馈的集群网络共识
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-02-01 Epub Date: 2025-11-26 DOI: 10.1016/j.nahs.2025.101656
Federico M. Zegers , Sean Phillips
{"title":"Consensus over clustered networks using intermittent and asynchronous output feedback","authors":"Federico M. Zegers ,&nbsp;Sean Phillips","doi":"10.1016/j.nahs.2025.101656","DOIUrl":"10.1016/j.nahs.2025.101656","url":null,"abstract":"<div><div>Distributed consensus protocols provide a mechanism for spreading information within clustered networks, allowing agents and clusters to make decisions without requiring direct access to the state of the ensemble. In this work, we propose a strategy for achieving system-wide consensus in the states of identical linear time-invariant systems coupled by an undirected graph whose directed sub-graphs are available only at sporadic times. Within this work, the agents of the network are organized into pairwise disjoint clusters, which induce sub-graphs of the undirected parent graph. Some cluster sub-graph pairs are linked by an inter-cluster sub-graph, where the union of all cluster and inter-cluster sub-graphs yields the undirected parent graph. Each agent utilizes a distributed consensus protocol with components that are updated intermittently and asynchronously with respect to other agents and inter-clusters. The closed-loop ensemble dynamics is modeled as a hybrid system, and a Lyapunov-based stability analysis yields sufficient conditions for rendering the agreement subspace (consensus set) globally exponentially stable. Furthermore, an input-to-state stability argument demonstrates the consensus set is robust to a large class of perturbations. A numerical simulation considering both nominal and perturbed scenarios is provided for validation purposes.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"59 ","pages":"Article 101656"},"PeriodicalIF":3.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 new kind of fractional implicit sweeping processes with history-dependent operators: Well-posedness and applications 一类新的具有历史依赖算子的分数隐式扫描过程：适定性及其应用
IF 3.7 2区 计算机科学
Nonlinear Analysis-Hybrid Systems Pub Date : 2026-02-01 Epub Date: 2025-09-04 DOI: 10.1016/j.nahs.2025.101631
Shengda Zeng , Jinsheng Du , Sergey A. Timoshin , Emilio Vilches
{"title":"A new kind of fractional implicit sweeping processes with history-dependent operators: Well-posedness and applications","authors":"Shengda Zeng ,&nbsp;Jinsheng Du ,&nbsp;Sergey A. Timoshin ,&nbsp;Emilio Vilches","doi":"10.1016/j.nahs.2025.101631","DOIUrl":"10.1016/j.nahs.2025.101631","url":null,"abstract":"<div><div>We study the well-posedness (existence and uniqueness of a solution) to state-dependent and state-independent Caputo–Katugampola fractional implicit sweeping processes with history-dependent operators in a real Hilbert space. First, using convex analysis tools we reduce these two types of sweeping processes to equivalent differential equations. Second, we employ the Banach fixed-point theorem and fixed-point argument for condensing mappings to examine the well-posedness of the latter equations. Third, we apply our results to circuit models that incorporate memristors and fractional capacitors, and conduct some numerical simulations for these models. We note that the results in this article extend the research of Adly and Haddad (2018), Migórski et al. (2019) and Jourani and Vilches (2019).</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"59 ","pages":"Article 101631"},"PeriodicalIF":3.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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