Convex Set of Matrices in Switched Systems

F. Rios and E. Rubio (Mexico)

Keywords

: Switched systems, Lyapunov functions, convex fuzzy sets, Hurwitz matrix, Kharitonovs polyno mials, pencil of matrices.

Abstract

In this paper, we treat the Hurwitz stability criterion for a convex fuzzy set of matrices represented by autonomous linear time invariants systems. We give conditions to find a region where the stability for a pencil of matrices in the sense Hurwitz is fulfilled, associated by a fuzzy set.

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