Robust Finite-Time Stability of Fractional Order Linear Time-Varying Impulsive Systems

This paper considers the robust finite-time stability (FTS) of fractional order linear time-varying impulsive systems. First, using the fractional order Lyapunov function and generalized Gronwall inequality, some sufficient conditions are given to verify the robust FTS of fractional order linear time-varying systems. Then, the concept of FTS is extended to fractional order impulsive systems. A sufficient condition is given to verify the robust FTS of fractional order linear time-varying impulsive systems by combining the method of average dwell time with fractional order Lyapunov function. Finally, two numerical examples are provided to illustrate the theoretical results.