Stability of a class of fractional order switched systems

Abstract

This paper considers the asymptotic stability of a class of fractional order switched systems. First, a sufficient condition is given to ensure the stability of systems based on fractional order Lyapunov functions. Then, a theorem is given to verify the stability of fractional order switched systems by using the fractional order Lyapunov functions and minimum dwell time technique. Finally, a numerical example is provided to illustrate the theoretical results.