Finite-Time Stability and Stabilization of Fractional-Order Switched Singular Continuous-Time Systems

摘要

The finite-time stability and stabilization of a class of fractional-order switched singular continuous-time systems with order 0 < alpha < 1 are investigated in this paper. First, by employing the average dwell time switching technique, together with the introduction of multiple Lyapunov functions, some sufficient conditions of the finite-time stability and finite-time boundedness are derived for the considered system. Second, based on the obtained conditions, suitable state feedback controllers can be designed if a set of linear matrix inequalities are feasible. Finally, an illustrative example is presented to show the effectiveness of the proposed results.