title: Finite-gain [Formula: see text] stability from disturbance to output of a class of time delay system.
abstract: Results on finite-gain [Formula: see text] stability from a disturbance to the output of a time-variant delay system are presented via a delay decomposition approach. By constructing an appropriate Lyapunov-Krasovskii functional and a novel integral inequality, which gives a tighter upper bound than Jensen's inequality and Bessel-Legendre inequality, some sufficient conditions are established and desired feedback controllers are designed in terms of the solution to certain LMIs. Compared with the existing results, the obtained criteria are more effective due to the tuning scalars and free-weighting matrices. Numerical examples and their simulations are given to demonstrate the effectiveness of the proposed method.
authors.affiliation: College of Computer Science and Technology, Southwest University for Nationalities, Chengdu, 610041 P.R. China.|Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1 Canada.
authors.forename: Ping
authors.initials: P
authors.lastname: Li
authors.affiliation: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1 Canada.
authors.forename: Xinzhi
authors.initials: X
authors.lastname: Liu
authors.affiliation: School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, 610054 P.R. China.
authors.forename: Wu
authors.initials: W
authors.lastname: Zhao
keywords: Lyapunov-Krasovskii functional; delay decomposition method; finite-gain [Formula: see text] stable from disturbance to output; time-variant delay