Uniform global exponential stability and stabilization of fractional-order nonlinear positive impulsive switched systems with MDADT

This paper investigates uniform global exponential stability(UGES) and stabilization of fractional-order nonlinear positive impulsive switched systems(FONPISS) with mode-dependent average dwell time(MDADT). Firstly, the proof of the positivity of FONPISS is given. Then, by constructing copositive Lyapunov functions and using MDADT approach, a static output feedback controller is constructed, and sufficient conditions are derived to guarantee that the corresponding closed-loop system is uniformly globally exponentially stable. Such conditions can be easily solved by linear programming. Finally, an example is provided to illustrate the effectiveness of the proposed method.

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