New criteria for exponential stability of positive switched linear impulsive systems with all modes unstable and its application
Yanhao Ju, Fanwei Meng, Yuangong Sun · Mathematical Methods in the Applied Sciences · 2021
This paper investigates the exponential stability of positive switched linear systems with impulse. By using the switched linear time‐varying copositive Lyapunov function method and the analytical method developed in positive systems, we establish new explicit criteria for exponential stability of the positive switched linear systems. Then, it is applied to the consensus of multi‐agent systems under the mode‐dependent interval dwell time case. The proposed conditions mean that all switched subsystems could be unstable. Finally, three examples illustrate the effectiveness and superiority of the proposed method.