Nonlinear Analysis-Hybrid Systems最新文献_第10页

Practical exponential stability of impulsive stochastic functional differential systems with distributed-delay dependent impulses 具有分布延迟相关脉冲的脉冲随机泛函微分系统的实用指数稳定性

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-19 DOI: 10.1016/j.nahs.2023.101424

Weijun Ma , Bo Yang , Yuanshi Zheng

{"title":"Practical exponential stability of impulsive stochastic functional differential systems with distributed-delay dependent impulses","authors":"Weijun Ma , Bo Yang , Yuanshi Zheng","doi":"10.1016/j.nahs.2023.101424","DOIUrl":"https://doi.org/10.1016/j.nahs.2023.101424","url":null,"abstract":"<div><p>This paper develops new practical stability criteria for impulsive stochastic functional differential systems with distributed-delay dependent impulses by using the Lyapunov–Razumikhin approach and some inequality techniques. In the given systems, the state variables on the impulses are concerned with a history time period, which is very appropriate for modelling some practical problems. Moreover, different from the existing practical stabilization results for the systems with unstable continuous stochastic dynamics<span> and stabilizing impulsive effects, we take the systems with stable continuous stochastic dynamics and destabilizing impulsive effects into account. It shows that under the impulsive perturbations, the practical exponential stability of the stochastic functional differential systems can remain unchanged when the destabilizing distributed-delay dependent impulses satisfy some conditions on the frequency and amplitude of the impulses. In other words, it reveals that how to control the impulsive perturbations such that the corresponding stochastic functional differential systems still maintain practically exponentially stable. Finally, an example with its numerical simulation is offered to demonstrate the efficiency of the theoretical findings.</span></p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49893585","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

Learning stability guarantees for constrained switching linear systems from noisy observations 基于噪声观测的约束切换线性系统的学习稳定性保证

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-18 DOI: 10.1016/j.nahs.2023.101425

Adrien Banse , Zheming Wang , Raphaël M. Jungers

引用次数: 0

Minimum realization for controllability/observability of switched linear systems 切换线性系统可控性/可观察性的最小实现

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-15 DOI: 10.1016/j.nahs.2023.101426

Yan Zhu , Zhendong Sun

引用次数: 0

Lyapunov-based stability of time-triggered impulsive logical dynamic networks 时间触发脉冲逻辑动态网络的lyapunov稳定性

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-15 DOI: 10.1016/j.nahs.2023.101417

Xueying Ding , Jianquan Lu , Xiangyong Chen

{"title":"Lyapunov-based stability of time-triggered impulsive logical dynamic networks","authors":"Xueying Ding , Jianquan Lu , Xiangyong Chen","doi":"10.1016/j.nahs.2023.101417","DOIUrl":"https://doi.org/10.1016/j.nahs.2023.101417","url":null,"abstract":"<div><p>In this paper, we consider the stability of impulsive logical dynamic systems (ILDNs) from two aspects: impulsive disturbance and impulsive control. The existing results on the stability of ILDNs only consider the stability of ILDNs under a given impulsive instant sequence (IIS), which has some limitations and motivates us to consider the stability of ILDNs under any IIS. By constructing a merged ILDN, under the assumption that the non-impulsive process and impulsive process are all globally stable, a necessary and sufficient condition on the stability of ILDNs under any IIS is proposed at first. Unfortunately, the obtained result is too restrictive, and in practice, it is not common that a stable LDN is still stable under any IIS. The fact is that for any stable LDN, there exist some IISs such that its stability is destroyed, and these IISs are called impulsive disturbances; for any unstable LDN, there exist some IISs such that the stability can be achieved, and these IISs are called impulsive control. To investigate the stability of ILDNs, the concept of average impulsive interval is first introduced to ILDNs, and several sufficient conditions are proposed to ensure the stability of LDNs under the time-triggered IISs with the property of average impulsive interval. Moreover, the obtained results are applied to the set stability of ILDNs.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49870356","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

Global output feedback control for uncertain strict-feedback nonlinear systems: A logic-based switching event-triggered approach 不确定严格反馈非线性系统的全局输出反馈控制:一种基于逻辑的切换事件触发方法

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-06 DOI: 10.1016/j.nahs.2023.101416

Yanan Qi, Xianfu Zhang, Yanjie Chang, Rui Mu

{"title":"Global output feedback control for uncertain strict-feedback nonlinear systems: A logic-based switching event-triggered approach","authors":"Yanan Qi, Xianfu Zhang, Yanjie Chang, Rui Mu","doi":"10.1016/j.nahs.2023.101416","DOIUrl":"https://doi.org/10.1016/j.nahs.2023.101416","url":null,"abstract":"<div><p>This paper addresses the global output-feedback stabilization for a class of uncertain nonlinear systems via a switching event-triggered approach. Typically, the system growth rates are allowed to be arbitrary unknown non-polynomial functions of system output. Note that such nonlinearities cannot be handled by generalizing the design rationales employed in polynomial rate cases. For this reason, an event-triggered mechanism together with a logic-based switching mechanism is proposed to determine not only when to sample but also when to switch the control parameter. With the help of the switching control parameter, an observer-based control scheme is developed to achieve global output-feedback stabilization. Particularly, the control parameter can be adaptively adjusted to a sufficiently large value, so the proposed control scheme has a stronger capability to deal with large uncertainties, inherent nonlinearities, and sampling errors of the system. For more efficient resource saving, an extended investigation is presented by constructing a dynamic event-triggered scheme. Finally, two simulation examples are given to illustrate the effectiveness of the switching event-triggered schemes.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49870355","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

Lyapunov conditions for exponential stability of nonlinear delay systems via impulsive control involving stabilizing delays 含稳定时滞的脉冲控制非线性时滞系统指数稳定的Lyapunov条件

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-04 DOI: 10.1016/j.nahs.2023.101411

Weilian Liu , Xinyi He , Xiaodi Li

引用次数: 0

Event-triggered output-based adaptive distributed observer over jointly connected networks and its application 基于事件触发输出的联合网络自适应分布式观测器及其应用

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-09-01 DOI: 10.1016/j.nahs.2023.101415

Rui Zhang, Jie Huang

引用次数: 0

Improved delay-dependent stability of superlinear hybrid stochastic systems with general time-varying delays 具有一般时变时滞的超线性混合随机系统的改进时滞相关稳定性

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-08-22 DOI: 10.1016/j.nahs.2023.101413

Henglei Xu, Xuerong Mao

引用次数: 0

Numerical solutions of stochastic functional differential equations with impulsive perturbations and Markovian switching 具有脉冲扰动和马尔可夫切换的随机泛函微分方程的数值解

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-08-18 DOI: 10.1016/j.nahs.2023.101409

Ky Q. Tran , George Yin

引用次数: 0

Positivity and decentralized L1 control of nonlinear interconnected switched positive systems under MDDT constraint MDDT约束下非线性互联切换正系统的正性和分散L1控制

IF 4.2 2区计算机科学

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-08-17 DOI: 10.1016/j.nahs.2023.101410

Shuo Li , Zilan Chen , Zhengrong Xiang

{"title":"Positivity and decentralized L1 control of nonlinear interconnected switched positive systems under MDDT constraint","authors":"Shuo Li , Zilan Chen , Zhengrong Xiang","doi":"10.1016/j.nahs.2023.101410","DOIUrl":"https://doi.org/10.1016/j.nahs.2023.101410","url":null,"abstract":"<div><p>The article is focused on the problems of positivity and decentralized <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span><span> control for nonlinear interconnected switched positive systems(NISPSs) under mode-dependent dwell time(MDDT) constraint, which includes mode-dependent constant dwell time(MDCDT), mode-dependent minimum dwell time(MDMDT) and mode-dependent ranged dwell time(MDRDT) constraints. Both nonlinear subsystems and nonlinear interconnections are included in the considered NISPSs. First, a sufficient and necessary condition of positivity is presented for NISPSs. Next, by applying a novel discretized linear copositive </span>Lyapunov function<span> method, a sufficient condition of exponential stability with </span></span><span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span>-gain performance is provided for NISPSs under MDCDT, MDMDT and MDRDT constraints, respectively. Further, by applying the matrix decomposition<span> technology to the decentralized controller gain matrix, an effective mode-dependent piece-wise design scheme of decentralized </span></span><span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> controller in the solvable linear programming(LP) form is proposed for NISPSs under MDCDT, MDMDT and MDRDT constraints, respectively. The proposed decentralized <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span> controller design scheme for NISPSs under MDDT constraint can be degenerated into the one in mode-independent constraint case accordingly. At last, four examples with comparisons are given to illustrate the importance and effectiveness of the obtained results.</span></p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49816696","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