title: Stability criteria for T-S fuzzy systems with interval time-varying delays and nonlinear perturbations based on geometric progression delay partitioning method.
abstract: In this paper, a novel delay partitioning method is proposed by introducing the theory of geometric progression for the stability analysis of T-S fuzzy systems with interval time-varying delays and nonlinear perturbations. Based on the common ratio α, the delay interval is unequally separated into multiple subintervals. A newly modified Lyapunov-Krasovskii functional (LKF) is established which includes triple-integral terms and augmented factors with respect to the length of every related proportional subintervals. In addition, a recently developed free-matrix-based integral inequality is employed to avoid the overabundance of the enlargement when dealing with the derivative of the LKF. This innovative development can dramatically enhance the efficiency of obtaining the maximum upper bound of the time delay. Finally, much less conservative stability criteria are presented. Numerical examples are conducted to demonstrate the significant improvements of this proposed approach.
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China; College of Electrical and Information Engineering, Southwest University for Nationalities, Chengdu 610041, China. Electronic address: haochen84@yahoo.co.uk.
authors.forename: Hao
authors.initials: H
authors.lastname: Chen
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
authors.forename: Shouming
authors.initials: S
authors.lastname: Zhong
authors.affiliation: College of Electrical and Information Engineering, Southwest University for Nationalities, Chengdu 610041, China.
authors.forename: Min
authors.initials: M
authors.lastname: Li
authors.affiliation: College of Electrical and Information Engineering, Southwest University for Nationalities, Chengdu 610041, China.
authors.forename: Xingwen
authors.initials: X
authors.lastname: Liu
authors.affiliation: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; Faculty of Engineering, Koforidua Polytechnic, P.O.BOX KF981, Koforidua, Ghana.
authors.forename: Fehrs
authors.initials: F
authors.lastname: Adu-Gyamfi
keywords: Geometric sequence division; Interval time-varying delays; Nonlinear perturbations; Stability analysis; T–S fuzzy systems