Stabilization for polytopic uncertain switched linear systems with constant input

In this paper, we study stabilizability problems for polytopic uncertain continuous-time switched linear systems with constant input via various types of switched rules. Firstly, sufficient conditions for an equilibrium point of polytopic uncertain switched linear systems with constant input to be stabilizable via different two types of state feedback switched rules are presented. Next, sufficient conditions for an equilibrium point of the same systems to be stabilizable via different two types of switched rules which depends on the state of switched observer are presented. Further, two illustrative numerical examples are also investigated.