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Stability analysis for stochastic impulsive switched time-delay systems with asynchronous impulses and switches
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).
Department of Automation, University of Science and Technology of China, Hefei, 230026, China.
2019 (English)In: Systems & control letters (Print), ISSN 0167-6911, E-ISSN 1872-7956, Vol. 133, article id 104516Article in journal (Refereed) Published
Abstract [en]

This paper studies stability of a general class of impulsive switched systems under time delays and random disturbances using multiple Lyapunov functions and average dwell-time. In the studied system, impulses and switches are allowed to occur asynchronously. As a result, the switching may occur in impulsive intervals and the impulses could also occur in switching intervals, which affect system stability greatly. Although the switches do no bring about the change of system state, multiple Lyapunov functions do not decrease at the switching times. Therefore, we study two cases: the stable continuous dynamics case and the stable impulsive dynamics case. Based on multiple Lyapunov functions and average dwell-time condition, sufficient stability conditions are derived. Finally, the obtained results are demonstrated through a numerical example from complex switched networks.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 133, article id 104516
Keywords [en]
Dwell-time, Impulsive switched systems, Lyapunov function, Stochastic stability, Stochastic systems, Time-delay systems, Delay control systems, Lyapunov functions, Multivariable control systems, Time delay, Time switches, Timing circuits, Dwell time, Impulsive intervals, Multiple Lyapunov function, Random disturbances, Stability condition, Switched system, System stability
National Category
Control Engineering
Research subject
Industrial Information and Control Systems; Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-263508DOI: 10.1016/j.sysconle.2019.104516ISI: 000497252000002Scopus ID: 2-s2.0-85071671353OAI: oai:DiVA.org:kth-263508DiVA, id: diva2:1374663
Note

QC 20191202

Available from: 2019-12-02 Created: 2019-12-02 Last updated: 2019-12-13Bibliographically approved

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Ren, Wei

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CiteExportLink to record
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