We study the problem of feedback stabilization of a family of nonlinear stochastic systems with switching mechanism modeled by a Markov chain. We introduce a novel notion of stabi...
— This paper addressed the computation of the L2-induced gain for a class of switched systems. The main contribution of the paper is to completely characterize the induced gain o...
A computational method for stability analysis of discrete-time piecewise linear systems is presented. The method is based on combining the solutions to two separate problems: one i...
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...