Single impulsive controller for exponential synchronization of stochastic Lur'e networks with impulsive disturbance
type: Item
instance of: scholarly article
title: Single impulsive controller for exponential synchronization of stochastic Lur'e networks with impulsive disturbance
zbMATH Open document ID: 1264.93232
DOI: 10.1155/2013/864707
author: Yi Zhao
author: Ze Tang
author: Jianwen Feng
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: The investigations are made on the exponential synchronization of the stochastic Lur'e system with nonlinear coupling and impulsive disturbance. The impulsive effects in complex networks could play a positive or a negative role for synchronization. For the sake of simplification and efficiency, a single impulsive controller is designed to realize the synchronization of the impulsive dynamical network with respect to stabilizing and destabilizing impulsive effects. Sufficient conditions are derived to guarantee the realization of the exponential synchronization for all initial values by means of the Lyapunov stability theorem, the comparison principle, and the linear matrix inequalities (LMIs). Numerical simulations are given to support the validity of the analytical results.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6175129
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/864707
OpenAlex ID: W2051511789
Wikidata QID: Q58921899
cites work: Impulsive synchronization of two nonidentical chaotic systems with time-varying delay
cites work: Synchronization in chaotic systems
cites work: Synchronization of complex dynamical networks under recoverable attacks
cites work: Single impulsive controller for globally exponential synchronization of dynamical networks
cites work: Synchronization of complex dynamical networks via impulsive control
cites work: Robust impulsive synchronization of uncertain dynamical networks
cites work: SYNCHRONIZATION CRITERIA FOR LUR'E SYSTEMS BY DYNAMIC OUTPUT FEEDBACK WITH TIME-DELAY
cites work: Synchronization criteria of Lur'e systems with time-delay feedback control
cites work: A unified synchronization criterion for impulsive dynamical networks
cites work: Synchronization in an array of linearly coupled dynamical systems
cites work: Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach
Recommended article: Single impulsive controller for globally exponential synchronization of dynamical networks
Recommended article: Exponential synchronization for coupled complex networks with time-varying delays and stochastic perturbations via impulsive control
Recommended article: Exponential synchronization of Lur'e complex dynamical networks with uncertain inner coupling and pinning impulsive control
Recommended article: Mean-square exponential synchronization of stochastic complex dynamical networks with switching topology by impulsive control
Recommended article: Stochastic quasi-synchronization of heterogeneous delayed impulsive dynamical networks via single impulsive control
Recommended article: Exponential synchronization of the coupling delayed switching complex dynamical networks via impulsive control
Recommended article: Exponential synchronization for impulsive dynamical networks
Recommended article: Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control
Recommended article: Exponential synchronisation of complex networks with delays and perturbations via impulsive and adaptive control
Recommended article: Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control
description: scientific article; zbMATH DE number 6175129