ON FINITE-TIME STABILITY AND STABILIZATION FOR SWITCHED DISCRETE LINEAR SYSTEMS

Weiming Xiang, Jian Xiao, and Chengyong Xiao

Keywords

Switched systems, finite-time stability, finite-time stabilization, out-put feedback

Abstract

In this paper, the finite-time stability analysis and stabilization for switched discrete linear system are investigated. A sufficient condition for finite-time stability of switched system is given by searching for a set of positive matrices which is less conservative than searching for a single positive matrix. Then the static-state feedback and dynamic output feedback finite-time stabilization are proposed. Several examples are given to illustrate the results within this paper.

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