Stability and Stabilization of Discrete-Time Switched Delay Systems Based on a Switching Time-Variant Lyapunov-Krasovskii Functional

Stability and stabilization of discrete-time switched delay systems with impulse are investigated in this paper. By constructing a switching time-variant Lyapunov-Krasovskii functional and applying the mode-dependent interval dwell-time switching, we establish some new stability and stabilization theorems for considered time-delay systems with all subsystems unstable. Eventually, the theoretical findings are demonstrated by means of numerical examples.