Finite‐Time Stability Analysis for a Class of Continuous Switched Descriptor Systems

Finite‐time stability has more practical application values than the classical Lyapunov asymptotic stability over a fixed finite‐time interval. The problems of finite‐time stability and finite‐time boundedness for a class of continuous switched descriptor systems are considered in this paper. Based on the average dwell time approach and the multiple Lyapunov functions technique, the concepts of finite‐time stability and boundedness are extended to continuous switched descriptor systems. In addition, sufficient conditions for the existence of state feedback controllers in terms of linear matrix inequalities (LMIs) are obtained with arbitrary switching rules, which guarantee that the switched descriptor system is finite‐time stable and finite‐time bounded, respectively. Finally, two numerical examples are presented to illustrate the reasonableness and effectiveness of the proposed results.