The Asymptotical Stability Analysis for Switched Descriptor Systems
This paper is concerned with the asymptotical stability analysis for a class of switched uncertain descriptor systems with time-delay. The robustly asymptotical stability of this system is proven by making use of the generalized Lyapunov Stability theory, linear matrix inequality (LMI) tools and multiple Lyapunov function techniques. The conservation of result is greatly reduced by means of introducing the optimal weight matrix and avoiding vector matrix inequality in deducing procedure, in which there is no need of transformation and hypothesis for descriptor systems. The designed control law could surely make switched Descriptor Systems quickly approach the balanceable point. Experimentally, one numerical simulation verifies the effectiveness of this method.
W. Liu and Z. Y. Lu, "The Asymptotical Stability Analysis for Switched Descriptor Systems", Applied Mechanics and Materials, Vols. 29-32, pp. 2150-2156, 2010