Open AccessNew delay-dependent robust exponential stability for uncertain linear systems with multiple non-differentiable time-varying delays and nonlinear perturbations
Author(s) -
Akkharaphong Wongphat,
Sirada Pinjai
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1334/1/012010
Subject(s) - differentiable function , nonlinear system , mathematics , control theory (sociology) , stability (learning theory) , constant (computer programming) , exponential stability , time derivative , derivative (finance) , linear matrix inequality , computer science , mathematical optimization , mathematical analysis , control (management) , physics , quantum mechanics , artificial intelligence , machine learning , financial economics , economics , programming language
This paper studies delay-dependent robust stability analysis for uncertain linear systems with constant delay, time-varying delay and nonlinear perturbations. The restriction on the derivative of time-varying delay is removed, which means that the fast time-varying delays are allowed. Combined with Leibniz-Newton formula, integral inequalities, Wirtinger-based integral inequality, Peng-Park’s integral inequality, utilization of zero equation and new Lyapunov-Krasovskii functional have been adopted to study. New delay-dependent robust stability criteria for uncertain time-delay systems are established in terms of linear matrix inequalities (LMIs). Numerical examples and simulation suggest that the results given to illustrate the effectiveness and improvement over some existing methods.