On Euler Emulation of Observer-Based Stabilizers for Nonlinear Time-Delay Systems

TL;DR

This paper investigates how Euler approximation of observer-based stabilizers can effectively stabilize fully nonlinear time-delay systems in a sample-and-hold setting, providing sufficient conditions for success.

Contribution

It introduces conditions under which Euler emulation of continuous-time stabilizers guarantees stabilization for nonlinear time-delay systems.

Findings

Euler approximation achieves stabilization under specified conditions.

Provides theoretical guarantees for sample-and-hold stabilization.

Applicable to fully nonlinear systems with time delays.

Abstract

In this paper, we deal with the problem of the stabilization in the sample-and-hold sense, by emulation of continuous-time, observer-based, global stabilizers. Fully nonlinear time-delay systems are studied. Sufficient conditions are provided such that the Euler approximation of continuous-time, observer-based, global stabilizers, for nonlinear time-delay systems, yields stabilization in the sample-and-hold sense. Submitted (in an extended version) to Automatica.