{"title":"Stability analysis of stochastic nonlinear switched systems with time-delay and its application","authors":"Liqiang Yao, Yanna Yin, Likang Feng","doi":"10.1002/asjc.3404","DOIUrl":null,"url":null,"abstract":"<p>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., \n<span></span><math>\n <semantics>\n <mrow>\n <mi>L</mi>\n <mi>V</mi>\n </mrow>\n <annotation>$$ \\mathcal{L}V $$</annotation>\n </semantics></math>) must be negative definite and allows \n<span></span><math>\n <semantics>\n <mrow>\n <mi>L</mi>\n <mi>V</mi>\n </mrow>\n <annotation>$$ \\mathcal{L}V $$</annotation>\n </semantics></math> 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.</p>","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"26 6","pages":"3254-3263"},"PeriodicalIF":2.7000,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/asjc.3404","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
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.,
) must be negative definite and allows
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.
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.
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