Stability of Linear Time-varying delay Systems via Modified Integral Inequality

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Published: Jun 23, 2023
Keywords:
stability Time delay Wirtinger inequality Linear matrix inequality

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Noppadol Mayomhin
Program of Mathematics, Faculty of Science and Technology, Kamphaeng Phet Rajabhat University
Wanwisa Puangmalai
Program of Mathematics, Faculty of Science and Technology, Kamphaeng Phet Rajabhat University

Abstract

The main objective of this paper is to find some conditions to determine asymptotic stability for linear systems with time varying delay in term of linear matrix inequalities. Base on Lyapunov-Krasovskii functional and a new integral inequality by combining two recent integral inequalities: namely the Wirtinger integral inequality and a new integral inequality proposed in 2020. Finally, show example that correspond to the condition.

Article Details

Issue
Vol. 3 No. 1 (2023): Janury-June (2023)
Section
Research articles

References

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