Stabilization of continuous-time switched systems
Abstract
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 notrequire 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 inequality. Being non-convex, a more conservative version of the Lyapunov-Metzler inequality, expressed in terms of linear matrix inequalities is given.
