title: Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching.
abstract: This paper is concerned with a class of nonlinear uncertain switched networks with discrete time-varying delays . Based on the strictly complete property of the matrices system and the delay-decomposing approach, exploiting a new Lyapunov-Krasovskii functional decomposing the delays in integral terms, the switching rule depending on the state of the network is designed. Moreover, by piecewise delay method, discussing the Lyapunov functional in every different subintervals, some new delay-dependent robust stability criteria are derived in terms of linear matrix inequalities, which lead to much less conservative results than those in the existing references and improve previous results. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.
authors.affiliation: Department of Mathematics, Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096 China.
authors.forename: Ning
authors.initials: N
authors.lastname: Li
authors.affiliation: Department of Mathematics, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia ; Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000 Pakistan.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
keywords: Delay-decomposing approach; Interval time-varying delay; Parameters uncertainty; Robust asymptotic stability; Switched interval networks