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Non-fragile exponential synchronization of delayed complex dynamical networks with transmission delay via sampled-data control
Authors:Eva Gyurkovics  Krisztina Kiss  Ali Kazemy
Institution:1. Mathematical Institute, Budapest University of Technology and Economics, Pf. 91, Budapest 1521, Hungary;2. Department of Electrical Engineering, Tafresh University, Tafresh 39518–79611, Iran
Abstract:This paper is devoted to the non-fragile exponential synchronization problem of complex dynamical networks with time-varying coupling delays via sampled-data static output-feedback controller involving a constant signal transmission delay. The dynamics of the nodes contain s quadratically restricted nonlinearities, and the feedback gain is allowed to have norm-bounded time-varying uncertainty. The control design is based on a Lyapunov–Krasovskii functional, which consists of the sum of terms assigned to the individual nodes, i.e., it is constructed without merging the complex dynamical network’s nodes into a single large-scale system. In this way, the proposed design method has substantially reduced computational complexity and improved conservativeness, and guaranties non-fragile exponential stability of the error system. The sufficient stability condition is expressed in terms of linear matrix inequalities that are solvable by standard tools. The efficiency of the proposed method is illustrated by numerical examples.
Keywords:Corresponding author  
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