Stability of Switched Linear Systems Using Upper Bounds of Solutions of Lyapunov Matrix Equations

리야프노프 행렬 방정식의 해를 이용한 스위칭 선형시스템의 안정화

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 system. 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 releases the restriction on the stability of switched linear systems comparing with the existing methods and provides us with easy implementation way for pole assignment.