Finite time Stability of Nonlinear Systems with Time Varying Delays

Article Sidebar

PDF (ภาษาไทย)
Published: Jun 12, 2022
Keywords:
Finite time stability Nonlinear systems Time delay Lyapunov-Krasovskii function Wirtinger inequality

Main Article Content

Wanwisa Puangmalai
-Program of Mathematics, Faculty of Science and Technology, Kamphaeng Phet Rajabhat University
Naritsarin Phan-aon
Program of Mathematics, Faculty of Science and Technology, Kamphaeng Phet Rajabhat University

Abstract

In this paper, we present sufficient finite-time stability (FTS) conditions for nonlinear systems with time varying delays and linear systems with time varying delays. By using the Lyapunov-Krasovskii function and Wirtinger-based inequality, this conditions in linear matrix inequalities (LMIs) form.

Article Details

How to Cite
Puangmalai, W., & Phan-aon, N. (2022). Finite time Stability of Nonlinear Systems with Time Varying Delays. Journal of Science and Technology CRRU, 1(1), 11–22. Retrieved from https://li01.tci-thaijo.org/index.php/jstcrru/article/view/253989
Issue
Vol. 1 No. 1 (2022): January - June
Section
Research article
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Journal of TCI is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

References

Stojanovic SB., Debeljkovic DL., Antic DS. (2012). Finite-time stability and stabilization of linear time-delay systems. Facta Univ Automat Control Robot, 11(1), 25-36.

Rojsiraphisal T., Puangmalai J. (2014). An inproved Finite-time stability and stabilization of linear system with constant delay. Mathematical Problems in Engineering, DOI no.: 10.1155/2014/154769.

Stojanovic SB. (2016). Further improvement in delay-dependent finite-time stability criteria for uncertain continuous-time system with time varying delay. IET Control Theory and Applications, 10, 926-938.

Puangmalai, W. & Puangmalai, P. (2019). Finitetime Stability of Linear System with Interval Time varying Delay by using Wirtingerbased inequality. In Proceedings of The 24th Annual Meeting in Mathematics (AMM 2019), (pp. 159-165). Chonburi : Burapha University.