 Finite-time control of interconnected impulsive switched systems with time-varying delayHangli Ren, Guangdeng Zong, Linlin Hou and Yang Yi Applied Mathematics and Computation, 2016, vol. 276, issue C, 143-157 Abstract: In this paper, the problem of finite-time control is addressed for a class of interconnected impulsive switched systems with time-varying delay and dynamical disturbance. The concepts of finite-time stability and finite-time boundedness are extended to interconnected impulsive switched systems, respectively. By resorting to the average dwell time approach and constructing an appropriate Lyapunov–Krasovskii functional, some sufficient criteria are provided to cope with the problems of finite-time boundedness and finite-time stability. Then, based on the decentralized switched control scheme, a state-feedback controller is established to ensure the finite-time stability and the finite-time boundedness. Finally, an example and simulation result are demonstrated to illustrate the correctness and effectiveness of the proposed method. Keywords: Interconnected impulsive switched systems; Time-varying delay; Finite-time stability; Finite-time boundedness; Average dwell time approach; Decentralized switched control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:276:y:2016:i:c:p:143-157 DOI: 10.1016/j.amc.2015.12.012 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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