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

TL;DR

This paper investigates the stability of time-delay reset systems with nonlinear and time-varying base systems, introducing a generalized Lyapunov-Krasovskii approach to verify stability in complex scenarios.

Contribution

It presents a generalized Lyapunov-Krasovskii criterion for stability analysis of nonlinear, time-varying time-delay reset systems, extending existing results.

Findings

Proposes a Lyapunov-Krasovskii proposition for stability verification.

Demonstrates applicability through an illustrative example.

Extends stability analysis to nonlinear, time-varying systems.

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.