{"title":"Piecewise smooth vector fields with sliding motion preserving measure","authors":"Marco Florentino , Tiago Carvalho","doi":"10.1016/j.nahs.2025.101602","DOIUrl":"10.1016/j.nahs.2025.101602","url":null,"abstract":"<div><div>In this paper we establish conditions in order to obtain a set of trajectories of <span><math><mi>n</mi></math></span>-dimensional piecewise smooth vector fields that preserves measure even in the case where sliding motion is allowed. The key hypothesis is the occurrence of a sliding–escaping connection. As consequence, classical results from the ergodic theory of dynamical systems can be adapted for the context of piecewise smooth vector fields, just as the Poincaré’s Recurrence Theorem and the Birkhoff’s Theorem. Also, we apply the results for previous models of the literature.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101602"},"PeriodicalIF":3.7,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879020","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}
{"title":"Reconstructing networks from the algebraic model of networked evolutionary games","authors":"Fei Wang , Jun-e Feng , Biao Wang","doi":"10.1016/j.nahs.2025.101603","DOIUrl":"10.1016/j.nahs.2025.101603","url":null,"abstract":"<div><div>This paper presents a systematic mathematical analysis of the network reconstruction problem based on the algebraic model of networked evolutionary games, focusing on two data scenarios: (1) players’ payoff and strategy data, and (2) only players’ strategy data. Begin with the first scenario, the players’ payoff functions are transformed into a system of linear equations concerning neighbors using the payoff vector of the fundamental network game. Then the necessary and sufficient conditions for reconstructing the player network from the payoff functions are provided. In the second scenario, by considering the myopic best response and the unconditional imitation updating rules, the conditions under which the fundamental network game ensures that the strategy dynamic equations contain information about all player neighbors are investigated. Moreover, criteria for determining neighbors from these strategy dynamic equations are proposed. Finally, two examples demonstrate the network reconstruction process.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101603"},"PeriodicalIF":3.7,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873860","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}
{"title":"Input-to-state stability of nonlinear delayed systems with stochastic impulses","authors":"Qian Fan , Zhiyan Shi , Bao Wang , Lei Jiang","doi":"10.1016/j.nahs.2025.101600","DOIUrl":"10.1016/j.nahs.2025.101600","url":null,"abstract":"<div><div>This paper is concerned with the stability of nonlinear delayed systems with stochastic impulses, which are assumed to be triggered by renewal process, Poisson process, semi-Markov process and Markov process, respectively. Some sufficient conditions are achieved by using the method of Lyapunov function and the upgraded comparison principle. It is shown that the stability of the system containing both stable and unstable impulses can be achieved by using the structure of stochastic process. To show that the criteria are effective, a numerical example is provided.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101600"},"PeriodicalIF":3.7,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873859","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}
{"title":"Lyapunov-like prescribed-time stability of impulsive systems via event & self-triggered impulsive control","authors":"Arnab Mapui, Santwana Mukhopadhyay","doi":"10.1016/j.nahs.2025.101598","DOIUrl":"10.1016/j.nahs.2025.101598","url":null,"abstract":"<div><div>The main emphasis of this paper is to address the issue of event- and self-triggered impulsive control for the prescribed-time stability of impulsive systems. In the first part of the article, some Lyapunov-like sufficient conditions are derived to stabilize an impulsive system within the prescribed-time, where impulsive instants are obtained through an event-triggered mechanism. Unlike event-triggered control, event-triggered impulsive control executes solely when the event is generated. The second part of the article provides sufficient Lyapunov-like criteria for the prescribed-time stability of impulsive systems via a self-triggered mechanism. Contrary to the event-triggered impulsive control, where triggering instants are obtained through continuous or periodic monitoring of the event-triggering conditions, the proposed self-triggered impulsive control strategy can estimate the next triggering instant by the information available in the currently triggered instant. Moreover, it is demonstrated that the Zeno behavior can be excluded from both of the proposed mechanisms. Finally, two instances are provided to illustrate the theoretical results numerically and verify the veracity of the proposed methodologies.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101598"},"PeriodicalIF":3.7,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838386","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}
{"title":"Composite anti-disturbance impulsive control for a class of nonlinear systems via disturbance observers","authors":"Wu-Hua Chen, Hengliang Xiang","doi":"10.1016/j.nahs.2025.101599","DOIUrl":"10.1016/j.nahs.2025.101599","url":null,"abstract":"<div><div>This paper studies an anti-disturbance impulsive control problem for a class of nonlinear systems with sampled measurements and input disturbances. It considers that the unknown input disturbances are generated by an exogenous system with additional disturbances. The goal is to construct an impulsive disturbance observer (IDO) to estimate the external disturbance and to use the disturbance estimate as a feed-forward compensator of the impulsive control so that the input disturbance can be rejected. Two types of design schemes are proposed in the linear matrix inequality framework. For the plants with sampled output measurements, a full-order IDO is constructed, under which both the state and the external disturbance can be estimated simultaneously. For the plants with state information available at impulse instants, a reduced-order IDO is designed, where only the estimation of the external disturbance is involved. Accordingly, the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance levels relative to the capability against the additional disturbance are respectively analyzed. Finally, an illustrative example is presented to demonstrate the validity of the results.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101599"},"PeriodicalIF":3.7,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823210","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}
{"title":"Stabilization of nonlinear delay systems: Adaptive impulsive observer-based saturated control approach","authors":"Cuiping Lu , Xiaodi Li","doi":"10.1016/j.nahs.2025.101596","DOIUrl":"10.1016/j.nahs.2025.101596","url":null,"abstract":"<div><div>This paper concentrates on stabilization problem of nonlinear delay systems involved unknown parameters via adaptive impulsive observer-based saturated control (<em>AIOSC</em>). Different from the existing literature that only the system state reconstruction and parameter estimation problems are comprehensively and thoroughly studied, we simultaneously solve the stabilization problem of such system itself. In virtue of an improved set inclusion relationship related to the augmented vector, the saturated effects on both impulsive correction and continuous control are explored in the sense of unmeasurable states. The main challenge of this paper is that with the help of the modified convex combination method, the time-varying Lyapunov function-based method, and comparison principle, how to fully utilize the systematic information to construct an elastic constraint relationship among system structure, delay information, and impulsive time sequence, which makes system parameters adjust appropriately as needed. Moreover, the maximum estimation of attractive domain is obtained by a convex optimal problem. And two examples are presented to demonstrate the validity of results, where stabilization of Lorenz system involved unknown parameters is considered.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101596"},"PeriodicalIF":3.7,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724107","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}
Hankang Ji , Yuanyuan Li , Xueying Ding , Jianquan Lu
{"title":"Necessary and sufficient conditions for asymptotic synchronization of drive-response coupled stochastic Boolean networks","authors":"Hankang Ji , Yuanyuan Li , Xueying Ding , Jianquan Lu","doi":"10.1016/j.nahs.2025.101595","DOIUrl":"10.1016/j.nahs.2025.101595","url":null,"abstract":"<div><div>This paper studies the asymptotic synchronization of drive-response stochastic Boolean networks. We propose two coupled Boolean networks with stochastic sequences and then derive their algebraic forms using semi-tensor product property. Subsequently, a novel eigenvalue-based approach is introduced to establish necessary and sufficient conditions for the asymptotic synchronization of these networks. While prior synchronization results were typically derived from the powers of the transition probability matrix, our method requires only the eigenvalues of this matrix. Finally, several examples are provided to validate the results obtained.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101595"},"PeriodicalIF":3.7,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143696741","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}
Gabriela Lígia Reis , Pedro Henrique Silva Coutinho , Iury Bessa , Rodrigo Farias Araújo
{"title":"Dynamic event-triggered control for nonlinear systems via differential algebraic representation","authors":"Gabriela Lígia Reis , Pedro Henrique Silva Coutinho , Iury Bessa , Rodrigo Farias Araújo","doi":"10.1016/j.nahs.2025.101597","DOIUrl":"10.1016/j.nahs.2025.101597","url":null,"abstract":"<div><div>This paper deals with the event-triggered gain-scheduling control of nonlinear systems based on the differential algebraic representation (DAR) approach. Since the parameters of the gain-scheduled controller depend on the sampled state information, a mismatch is induced between the controller and the DAR of the plant. To deal with this issue, we propose a novel dynamic event-triggered control strategy with a compensation term for the mismatch. Then, we propose a co-design condition, in the form of linear matrix inequalities (LMIs), to design the gain-scheduling controller and the event-triggering mechanism. We show that Zeno behavior is avoided with the proposed event-triggering mechanism. Moreover, as the LMI conditions are derived by constraining the region of validity of the DAR, we estimate the region of attraction of the closed-loop equilibrium lying inside this region of validity. Finally, a multi-objective optimization problem is provided to enlarge the estimate of the region of attraction and minimize the number of transmissions. Numerical simulations illustrate the advantages of the proposed condition in reducing conservativeness when compared to related work, as well as reducing the number of events.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101597"},"PeriodicalIF":3.7,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684570","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}
{"title":"Detectability notions for a class of finite labeled Markovian systems","authors":"Dimitri Lefebvre , Carla Seatzu , Christoforos N. Hadjicostis , Alessandro Giua","doi":"10.1016/j.nahs.2025.101586","DOIUrl":"10.1016/j.nahs.2025.101586","url":null,"abstract":"<div><div>This paper is about state estimation in a timed probabilistic setting. A reference model, namely a labeled timed probabilistic automaton, is used for this purpose and an a posteriori probability vector is defined based on a sequence of observations and their associated time stamps that have been collected thus far. The observable language of the considered system is assumed to be live. The main contribution of the paper is to introduce and characterize some basic detectability notions for timed stochastic systems: (i) <em>event detectability</em>, which implies that the system becomes detectable at the time instant of each new observation but may lose the detectability property between two observations, and (ii) <em>silent detectability</em>, which implies that the system becomes detectable when no observation is collected within an arbitrary large duration. Relaxed notions of detectability are also studied: first, assuming that, given a threshold, the a priori probability that an observed timed sequence leads to an exact reconstruction of the state, is larger than or equal to that threshold; second, by replacing the estimation of single states by the estimation of classes formed by several states.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"57 ","pages":"Article 101586"},"PeriodicalIF":3.7,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}
{"title":"Fixed-time intermittent control for a class of switched chaotic systems","authors":"Luxia Han, Runzi Luo, Panpan Zhang, Xianzhou Liu, Shuai Liu, Zijun Song","doi":"10.1016/j.nahs.2025.101587","DOIUrl":"10.1016/j.nahs.2025.101587","url":null,"abstract":"<div><div>This paper is a pilot study on the fixed-time stability of switched chaotic systems via the intermittent control. Some novel fixed-time stability theorems that generalize some previous related research works and have a broad application prospect, are proposed. According to the proposed fixed-time stability theorems, a new intermittent switching controller for reducing information transmission and saving control energy is provided to achieve the fixed-time stability of the considered switched chaotic systems. In addition, numerical simulations are conducted to verify the correctness of resulting conclusion.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"56 ","pages":"Article 101587"},"PeriodicalIF":3.7,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509190","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}