Stability of time-delay reset systems with a nonlinear and time-varying base system

Abstract: This work is devoted to investigate the stability properties of time-delay reset systems. We present a Lyapunov-Krasovskii proposition, which generalizes the available results in the literature, providing results for verifying the stability of time-delay reset systems with nonlinear and time-varying base system. We demonstrate the applicability of the proposed results in the analysis of time-delay reset control systems, and an illustrative example with nonlinear, time-varying base system.