A Method for Determining Stabilizeability of a Class of Switched Systems
نویسنده
چکیده
In this paper, the problem of finding a stabilizing feedback controller for single input single output switched systems of order two is addressed. To ensure stability under arbitrary switching, the existence of a common Lyapunov function (CLF) needs to be established. A method for establishing the existence of CLFs, given suitable feedback controllers, is presented. The method presented here is computationally less demanding compared to those that depend on linear matrix inequalities solvers. Key–Words: Hybrid systems, Common Lyapunov functions, Stability under arbitrary switching, Brunovsky canonical form, State transformation
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