Bosco Garcia Gutierrez

Universidad de Cádiz | UCA · Department of Mathematics

This paper studies the stabilization of continuous-time switched linear systems in which the only control action is the switching law. We first present necessary and sufficient conditions for the stabilization of a continuous-time switched linear system. Based on this result, we deduce a method for defining the stabilizing switching law. Moreover,...

This paper studies the reachability of second-order switched nonlinear systems in which the switching law is the only control action. For some initial conditions we find states that are reachable from the initial condition. We also give the switching law that drives the system from the initial state to the final state. Moreover, for switched system...

This paper proposes a new approach to stabilize switched linear systems. In this method, the projections are employed to establish the stabilization of a switched systems class. Hence, we suppose that the subsystems given by a switched linear system can be projected to the same subspace. Under these conditions, we prove that this switched linear sy...

We study invariant sets for switched systems. We focus on a class of third-order switched systems. In this class of switched systems we solve the problem of finding an invariant set for a switching law. For each switched system we provide the invariant set and the switching law, in addition, the invariant set is a polyhedral cone and the switching...