Finite-time H-infinity synchronization for complex networks with semi-Markov jump topology

摘要

This paper investigates the problem of finite-time H-infinity synchronization for complex networks with time-varying delays and semi-Markov jump topology. The network topologies are assumed to switch from one to another at different instants. Such a switching is governed by a semi-Markov process which are time-varying and dependent on the sojourn-time h. Attention is focused on proposing some synchronization criteria guaranteeing the underlying network is stochastically finite-time H-infinity synchronized. By using the properties of Kronecker product combined with the Lyapunov-Krasovskii method, the solutions to the finite-time H-infinity synchronization problem are formulated in the form of low-dimensional linear matrix inequalities. Finally, a numerical example is given to demonstrate the effectiveness of our proposed approach. (C) 2014 Elsevier B.V. All rights reserved.