Global Finite-Time Stabilization for Fractional Order Switched Systems via Asynchronous Switching Control

摘要

This paper focuses on the issue of global finite-time stabilization for a class of discontinuous fractional order switched systems under the asynchronous switching. Via Lyapunov stability theory, non-smooth analysis theory, fractional differential inclusion theory, and inequality scaling technique, sufficient stabilization conditions are established in terms of linear matrix inequalities and algebraic expressions. Based on the switched control scheme, the upper bound of the settling time for finite-time stabilization, which is determined by the initial values, system parameters and control gains, is exactly evaluated. Finally, a numerical example is given to illustrate the feasibility of the designed control scheme and the validity of the theoretical results.