Two kinds of control problems of finite-time stable for time-varying descriptor systems

This paper mainly studies two kinds of control problem of finite-time stable for time-varying descriptor systems, finite-time boundedness and input-output finite-time stability. Firstly, the mentioned matrix function E(t) for the time-varying descriptor systems is time-variant, which is a improvement from the previous articles. Secondly, many sufficient and necessary conditions of finite-time stability are given, and the finite-time state feedback controllers are designed too. Finally, two numerical examples are given to prove the effectiveness of the method.