Stability analysis of stochastic nonlinear switched systems with time-delay and its application

IF 2.7 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Asian Journal of Control Pub Date : 2024-04-29 DOI:10.1002/asjc.3404

Liqiang Yao, Yanna Yin, Likang Feng

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引用次数: 0

Abstract

This paper studies the stability of stochastic nonlinear time-delay systems with arbitrary switching and its application. A novel Krasovskii-type stability theorem is introduced for stochastic nonlinear systems featuring arbitrary switching and time-delay. Unlike previous results, this stability result removes the restriction that the infinitesimal generator of Lyapunov–Krasovskii functional (i.e., $L V$ ) must be negative definite and allows $L V$ to be indefinite. As an application, the tracking control is studied for a class of stochastic switched systems with inverse dynamics and time-delay. The assumption condition imposed on the inverse dynamic subsystem is weaker compared with most of existing findings. Finally, we illustrate the feasibility and effectiveness of proposed control strategy by two simulation examples.

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具有时延的随机非线性开关系统的稳定性分析及其应用

本文研究了具有任意开关的随机非线性时延系统的稳定性及其应用。针对具有任意切换和时延的随机非线性系统，提出了一个新颖的克拉索夫斯基型稳定性定理。与以往的结果不同，该稳定性结果取消了 Lyapunov-Krasovskii 函数（即 LV$$ \mathcal{L}V $$）的无穷小生成器必须为负定值的限制，允许 LV$$ \mathcal{L}V $$为不定值。作为应用，我们研究了一类具有反动态和时延的随机切换系统的跟踪控制。与大多数现有研究结果相比，对反动态子系统施加的假设条件较弱。最后，我们通过两个仿真实例说明了所提控制策略的可行性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian Journal of Control 工程技术-自动化与控制系统

CiteScore

4.80

自引率

25.00%

发文量

253

审稿时长

7.2 months

期刊介绍： The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application. Published six times a year, the Journal aims to be a key platform for control communities throughout the world. The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive. Topics include: The theory and design of control systems and components, encompassing: Robust and distributed control using geometric, optimal, stochastic and nonlinear methods Game theory and state estimation Adaptive control, including neural networks, learning, parameter estimation and system fault detection Artificial intelligence, fuzzy and expert systems Hierarchical and man-machine systems All parts of systems engineering which consider the reliability of components and systems Emerging application areas, such as: Robotics Mechatronics Computers for computer-aided design, manufacturing, and control of various industrial processes Space vehicles and aircraft, ships, and traffic Biomedical systems National economies Power systems Agriculture Natural resources.