Stability Analysis of Discrete-Time Almost Periodic Piecewise Linear Systems with Dwell Time Uncertainties

This paper addresses the issue of exponential stability of discrete-time almost periodic piecewise linear systems (APPLSs) with dwell time uncertainties under mode-dependent average dwell time (MDADT) switching signal. Considering dwell time uncertainties in discrete-time APPLSs, multiple piecewise convex homogeneous Lyapunov function (MPCHLF) is constructed. In the case where the switching instants within each period are unknown but lie within a certain range, a sufficient exponential stability condition for the discrete-time systems is proposed. Finally, a numerical example validates obtaining low conservatism using the proposed approach.