Stability criteria for time-varying delay systems with nonlinear perturbations
WU Bin
WANG Chang-long
XU Jin-fa
HU Yong-jiang
Abstract：The stability problem of systems with time-varying delay and nonlinear perturbations is researched. Based on delay decomposition approach, a less conservative stability criterion is proposed. The delay interval is divided into two subintervals by a free parameter. Then, an appropriate Lyapunov-Krasovskii functional (LKF) containing state information of the partition point and some triple-integral terms is constructed. Cross-terms in the time derivative of LKF is dealt with free-matrix integral inequality. According to Lyapunov stability theory, a delay-dependent stability criteria in the framework of linear matrix inequality (LMI) is obtained. Numerical examples demonstrate that the proposed stability criteria can achieve larger upper bounds and has less conservatism than existing results.
Keywords：interval time-varying delaystability criterionLyapunov-Krasovskii functionaldelay decomposition
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 692-700 )