A Novel Framework for Stability in Discrete Time-Delayed Switching Dynamics Using Lyapunov-Krasovskii Theory

The importance of stability analysis for time-delay systems is well recognized. Accordingly, this paper presents a novel and efficient approach based on a non-monotonic Lyapunov-Krasovskii functional for comprehensive stability analysis of discrete-time switching systems with time delays, without being restricted to a limited number of time steps. The flexibility in selecting Lyapunov-Krasovskii functionals under non-monotonic conditions significantly reduces conservatism and removes the stringent requirement of uniform decrease of the Lyapunov functional. Furthermore, a set of sufficient conditions in the form of linear matrix inequalities (LMIS) is established to assess the global asymptotic stability of discrete-time time-delay systems.

کلیدواژه ها:

discrete-time ، time-delay ، non-monotonic Lyapunov-Krasovskii functional ، switched system