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


  • 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


stability, Time delay, Wirtinger inequality, Linear matrix inequality


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.


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