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 switc...

In this paper, we investigate almost-sure and moment stabilization of continuous time jump linear systems with a finite-state Markov jump form process. We first clarify the concepts of -moment stabilizability, exponential -moment stabilizability, and stochastic -moment stabilizability. We then present results on the relationships among these concepts. Coupled Riccati equations that provide nece...

to discrete-time systems. Specifically, several modifications to the closed-loop discrete-time Lyapunov equation are proposed that guarantee that the compensator dynamics are stable. Using fixed-structure controller optimiztion techniques sufficient conditions for stable compensators with suboptimal H a performance can readily be derived. designing continuous-time stable dynamic compensators z(...