Stabilization of Continuous-time Switched Systems
نویسندگان
چکیده
This paper addresses two strategies for stabilization of continuous time linear switched system. The first one, is of open loop nature (trajectory independent) and is based on the determination of a minimum dwell time by means of a family of quadratic Lyapunov functions. Interestingly, the proposed stability condition does not require the Lyapunov function be uniformly decreasing at every switching time. The second one, is of closed loop nature (trajectory dependent) and is designed from the solution of what we call Lyapunov-Metzler inequalities. Being non-convex, a more conservative version of the Lyapunov-Metzler inequalities, expressed in terms of linear matrix inequalities is given. Copyright c 2005 IFAC.
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