Open AccessRobust Exponential Stabilization for a Class of Nonlinear Uncertain Systems with Time-varying Delays
Author(s) -
Meng Li,
Yali Dong,
Xiaozhi Tang
Publication year - 2021
Publication title -
wseas transactions on systems
Language(s) - English
Resource type - Journals
eISSN - 2224-2678
pISSN - 1109-2777
DOI - 10.37394/23202.2021.20.35
Subject(s) - control theory (sociology) , lemma (botany) , exponential stability , nonlinear system , mathematics , linear matrix inequality , class (philosophy) , exponential function , robust control , mathematical optimization , computer science , control (management) , mathematical analysis , ecology , physics , poaceae , quantum mechanics , artificial intelligence , biology
This paper is concerned with the problem of robust exponential stabilization for a class of nonlinear uncertain systems with time-varying delays. By using appropriately chosen Lyapunov-Krasovskii functional, together with the Finsler’s lemma, sufficient conditions for exponential stability of nonlinear uncertain systems with time-varying delays are proposed in terms of linear matrix inequality (LMI). Then, novel sufficient conditions are developed to ensure the nonlinear uncertain system with time-varying delay is robust exponentially stabilizable in terms of linear matrix inequality with state feedback control. Finally, a numerical example is given to illustrate the efficiency of proposed methods.