Finite-time stabilization of switching linear systems with uncertain resetting times

Abstract

In this paper we deal with the finite-time stability analysis and control of switching linear systems, which are linear continuous-time systems with isolated discrete switching events, and whose state can undergo finite jump discontinuities. Moreover, the case in which the time occurrence of the switching events is unknown is considered. Sufficient conditions for finite-time stability and stabilization are provided in terms of feasibility problems involving differential LMIs. Numerical examples are provided to better illustrate the proposed approach.