Pinning impulsive synchronization of complex-variable dynamical network

•Synchronization of complex-variable dynamical network is investigated.•Pinning combining with impulsive control scheme is adopted to achieve the goal.•Adaptive strategy is adopted to relax the restrictions on the impulsive intervals.•The proposed adaptive impulsive control scheme is universal to so...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Communications in nonlinear science & numerical simulation Ročník 20; číslo 1; s. 273 - 280
Hlavní autori: Wu, Zhaoyan, Liu, Danfeng, Ye, Qingling
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier B.V 01.01.2015
Predmet:
Adaptive control systems
Complex variable
Computer simulation
Dynamical network
Mathematical analysis
Mathematical models
Networks
Pinning
Pinning impulsive control
Synchronism
Synchronization
Complex variable
Pinning impulsive control
Dynamical network
Synchronization
ISSN:1007-5704, 1878-7274
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:•Synchronization of complex-variable dynamical network is investigated.•Pinning combining with impulsive control scheme is adopted to achieve the goal.•Adaptive strategy is adopted to relax the restrictions on the impulsive intervals.•The proposed adaptive impulsive control scheme is universal to some extent.•A method for choosing the impulsive instants is provided. In this paper, pinning combining with impulsive control scheme is adopted to investigate the synchronization of complex-variable dynamical network. Based on the Lyapunov function method and mathematical analysis technique, sufficient conditions for achieving synchronization is first analytically derived. This result extends the condition derived for real-variable dynamical network to complex-variable network. Further, adaptive strategy is adopted to relax the restrictions on the impulsive intervals and reduce the control cost. Noticeably, the proposed adaptive pinning impulsive control scheme is universal for different dynamical networks to some extent. The impulsive instants are chosen by solving a series of maximum problems subject to the derived conditions. Several numerical simulations are performed to illustrate the effectiveness and correctness of the derived theoretical results.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2014.05.018