Stability of switched linear systems using upper bounds of the solutions of Lyapunov matrix equations

摘要

In this paper, we propose a novel stability criterion for switched linear systems. The proposed method employs the results on the upper bound of the solution of LME (Lyapunov Matrix Equation) and on the stability of hybrid systems. The former guarantees the existence of Lyapunov-like energy functions and the latter shows that the stability of switched linear systems by using these energy functions. The proposed criterion provides us with easy implementation and less severe restriction than existing methods.