Work

New results on delay-dependent stability conditions for uncertain linear systems with two additive time-varying delays

Year: 2025

Type: article

Abstract: In this study, we explore a novel delay-dependent criterion for asymptotic stability in linear systems with two additive time-varying delays and nonlinear perturbations. By utilizing the Newton-Leibniz formula, the extended Jensen's double integral inequality, the extended Wirtinger's integral inequality, a novel Lyapunov-Krasovskii functional and the application of zero equations, we derive sufficient conditions for the system's asymptotic stability in the form of linear matrix inequalities. Additionally, we introduce new delay-dependent stability conditions specifically for these linear systems with two additive time-varying delays. Numerical examples are provided to illustrate the feasibility and effectiveness of the theorems.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.039.03.08

Authors: J. Piyawatthanachot, K. Mukdasai

Institution: Khon Kaen University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Khon Kaen University

Award: G1588708199