具有不稳定子系统的正切换系统的有限时间稳定

Finite-time Stability of Positive Switched Linear Systems with Unstable Subsystems

研究了一类具有稳定和不稳定子系统的正切换线性系统的有限时间稳定问题.首先,给出正切换线性系统有限时间稳定的概念.其次,基于多线性余正李雅普诺夫函数,通过使用平均驻留时间方法,得到的充分条件保证了具有不稳定子系统的正切换系统仍然是有限时间稳定的,并针对连续和离散给出了相应的判断条件.

In this paper,the problem of finite-time stability（ FTS） for a class of positive switched linear systems with unstable subsystems is studied. First,the concept of finite-time stability of switched positive linear systems is introduced. Then,based on a multiple linear copositive Lyapunov function,and by using the average dwell time method,The obtained sufficient conditions guarantee that the positive switching systems with unstable subsystems are still finite-time stable,and the corresponding judgement conditions are given for both continuous and discrete.