Exponential synchronization for neutral complex dynamical networks with interval mode-dependent delays and sampled data
type: Item
instance of: scholarly article
title: Exponential synchronization for neutral complex dynamical networks with interval mode-dependent delays and sampled data
zbMATH Open document ID: 1299.93005
author: Xinghua Liu
author: Hongsheng Xi
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: The exponential synchronization and sampled-data controller problem for a class of neutral complex dynamical networks (NCDNs) with Markovian jump parameters, partially unknown transition rates and delays, is investigated in this paper. Both the discrete and neutral delays are considered to be interval mode dependent and time varying, while the sampling period is assumed to be time varying and bounded. Based on a new augmented stochastic Lyapunov functional, the delay-range-dependent and rate-dependent exponential stability conditions for the closed-loop error system are obtained by the Lyapunov-Krasovskii stability theory and reciprocally convex lemma. Then according to the proposed exponential stability conditions, the sampled-data synchronization controllers are designed in terms of the solution to linear matrix inequalities that can be solved effectively by using Matlab. Finally, numerical examples are given to demonstrate the feasibility and effectiveness of the proposed methods.
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C57
zbMATH DE Number: 6372561
describes a project that uses: Matlab
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6372561