Paper Info
Title
Group synchronization and control of a new class of adaptive complex network with Brownian Motion and Time-varying Delay
Abstract
In this paper, the Group Mean Square Synchronization (GMSS) of a new class of adaptive Complex Dynamical Network (CDN) with Limited Stochastic Perturbation (LSP) and interval Time-Varying Delays (TVD) is investigated. The zero-mean real scalar Brownian Motion (BM) with LSP is also discussed. In this CDN, the weight configuration matrices are considered in two cases : TVD and Non-Time-Varying Delay (NTVD). The outer-coupling matrices are also assumed to be two cases : symmetric and dissymmetric. Based on the control theory and stochastic analysis such as : adaptive control method, Itô formula, Lyapunov Stability Theory (LST) and Kronecker product rules, the controllers nd adaptive schemes are constructed which let all nodes reach the GMSS asymptotically in the CDN. Finally, some examples of several complex chaotic systems are presented to demonstrate the proposed theoretical analysis.
Year
DOI
Venue
2014
10.1109/ECC.2014.6862264
ECC
Keywords
Field
DocType
brownian motion,adaptive control,chaos,complex networks,delays,matrix algebra,nonlinear systems,perturbation techniques,stochastic systems,synchronisation,bm,cdn,gmss,itô formula,kronecker product rules,lsp,lst,lyapunov stability theory,ntvd,tvd,adaptive complex dynamical network,adaptive control method,chaotic systems,dissymmetric case,group mean square synchronization,interval time-varying delays,limited stochastic perturbation,nontime-varying delay,outer-coupling matrices,symmetric case,weight configuration matrices,zero-mean real scalar brownian motion,synchronization,couplings,asymptotic stability
Topology,Synchronization,Kronecker product,Control theory,Matrix (mathematics),Scalar (physics),Stochastic process,Lyapunov stability,Adaptive control,Brownian motion,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Lin Pan1569.06
Holger Voos211834.98
Ibrahima N'Doye310.69
Mohamed Darouach426142.82