Necessary and Sufficient Conditions for Stability of Discrete-Time Switched Linear Systems With Ranged Dwell Time

This letter deals with the stability analysis problem of discrete-time switched linear systems ranged dwell time. A novel concept called L-switching-cycle is proposed, which contains sequences multiple activation cycles satisfying prescribed time constraint. Based on L-switching-cycle, two sufficient conditions are proposed to ensure global uniform asymptotic systems. It noted that equivalent in same L-switching-cycle. These can be viewed as generalizations clock-dependent Lyapunov and function methods, respectively. Furthermore, it has been proven eventually achieve nonconservativeness long a sufficiently adopted. numerical example provided illustrate our theoretical results.