Stability Analysis of Time-Delayed Systems Based on a Negative-Determination Quadratic Function

Jiao Li; Wenqin Wang

doi:https://doi.org/10.14445/22315373/IJMTT-V68I11P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 11 | Year 2022 | Article Id. IJMTT-V68I11P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I11P502

Stability Analysis of Time-Delayed Systems Based on a Negative-Determination Quadratic Function

Jiao Li, Wenqin Wang

Received	Revised	Accepted	Published
16 Sep 2022	24 Oct 2022	05 Nov 2022	17 Nov 2022

Abstract

This paper addresses the problem of stability analysis of time-delay systems. The quadratic function combined with reciprocally convex lemma has been constructed to establish the stability criteria for the linear time-delay system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed criterion.

Keywords

Delay systems, Time-varying delay, Stability analysis, Lyapunov-Krasovskii functional, Quadratic function.

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Citation :

Jiao Li, Wenqin Wang, "Stability Analysis of Time-Delayed Systems Based on a Negative-Determination Quadratic Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 11, pp. 8-15, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I11P502