Stochastic sampled-data H-infinity synchronization of coupled neutral-type delay partial differential systems

摘要

This paper discusses the asymptotical synchronization and H-infinity synchronization of coupled neutral-type delay partial differential systems (NDPDSs). A sampled-data controller with m stochastically varying sampling periods whose occurrence probabilities are given constants is considered. By using the method of a nonsingular matrix transformation, we decouple the coupled error dynamical systems. Then, sufficient conditions that guarantee the asymptotic stability of decoupled synchronization error dynamical systems are derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii functional with triple integral terms and by using Jensen's inequality and reciprocally convex combination technique, which implies the asymptotical synchronization of the coupled NDPDSs. Moreover, the stability criteria for the H-infinity stabilization of decoupled synchronization error dynamical systems with external disturbances are also derived in terms of LMIs, which guarantee the H-infinity synchronization of the coupled NDPDSs. The equivalence between the Ho. stability of decoupled synchronization error dynamical systems and the H-infinity synchronization of coupled NDPDSs is also proved by mathematical analysis. Finally, numerical examples are provided to demonstrate the effectiveness of the obtained results. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.