Stabilization by means of state space depending switching rules

摘要

In this paper we consider switched systems defined by a pair of linear systems x = A(1)x, x = A(2)x, such that there exists a neutrally stable linear combination of the matrices A(1), A(2). Under an additional assumption, we prove that there exists a state space depending switching rule which stabilizes the system in a very general sense. The result is illustrated by some simulations and examples. (C) 2004 Elsevier B.V. All rights reserved.