Reachable sets bounding for switched systems with time-varying delay and bounded disturbances

M. V. Thuan, H. Trinh and D. C. Huong

International Journal of Systems Science, 2017, vol. 48, issue 3, 494-504

Abstract: In this paper, we address the problem of finding outer bound of forward reachable sets and inter-bound of backward reachable sets of switched systems with an interval time-varying delay and bounded disturbances. By constructing a flexible Lyapunov–Krasovskii functional combining with some recent refined integral-based inequalities, some sufficient conditions are derived for the existence of (1) the smallest possible outer bound of forwards reachable sets; and (2) the largest possible inter-bound of backward reachable sets. These conditions are delay dependent and in the form of linear matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. A constructive geometric design of switching laws is also presented. Two numerical examples with simulation results are provided to demonstrate the effectiveness of our results.

Date: 2017
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DOI: 10.1080/00207721.2016.1186248

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