The Stability Analysis For A Class Of Switched Systems

Switched system is an important class of hybrid systems. In the early,"switch" as a control thought has been applied in control theory and engineering practice. So the switched system has a more extensive practical background and important applied significance. The paper mainly studies a very important class of switched systems in hybrid system. It consists of a continuous time-invariant subsystem(CS) and discrete time-invariant subsystems (DS).Firstly , the paper discussed a class of switched system that is composed of continuous time-invariant subsystem which is hurwitz stable and discrete time-invariant subsystem which is Schur stable with the average dwell time method.Under the assumption, when a designed switching sequence is given more than a constant the system, the switched system is exponentially stable on average dwell time. Secondly, it gives the switched system that is composed of the continuous time-invariant subsystem that is stable hurwitz and unstable hurwitz and discrete time-invariant subsystem that is Schur stable and Schur unstable subsystems . Under the assumption, when a designed switching sequence gives more than a constant the system, the switched system is exponentially stable on average dwell time.Finally, the switched system consists of continuous time-invariant subsystem that is hurwitz stable and discrete time-invariant subsystem that is Schur stable. In satisfied certain conditions, it designs switching sequence and gives in the periodic switching of switched systems under the sufficient conditions for stability. Then, it gives the switched system that is composed of the continuous time-invariant subsystem that is hurwitz stable and hurwitz unstable and discrete time-invariant subsystem that is Schur stable and Schur unstable subsystems. A special switching sequence is designed, It gives the switching system that is stable in the period a sufficient condition.