Robust exponential stability criteria of LPD systems with mixed time-varying delays and nonlinear perturbations

• Main Authors: Mukdasai,K., Wongphat,A., Niamsup,P.
• Format: Article
• Published: Hindawi Publishing Corporation 2015
• Subjects: Applied Mathematics; Analysis
• Online Access: http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872814039&origin=inward; http://cmuir.cmu.ac.th/handle/6653943832/38678
• Institution: Chiang Mai University

This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are proposed to analyze the stability. On the basis of the estimation and by utilizing free-weighting matrices, new delay-dependent exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. © 2012 Kanit Mukdasai et al.