Paper Info
Title
An Integrated Approach to Global Synchronization and State Estimation for Nonlinear Singularly Perturbed Complex Networks.
Abstract
This paper aims to establish a unified framework to handle both the exponential synchronization and state estimation problems for a class of nonlinear singularly perturbed complex networks (SPCNs). Each node in the SPCN comprises both "slow" and "fast" dynamics that reflects the singular perturbation behavior. General sector-like nonlinear function is employed to describe the nonlinearities existing in the network. All nodes in the SPCN have the same structures and properties. By utilizing a novel Lyapunov functional and the Kronecker product, it is shown that the addressed SPCN is synchronized if certain matrix inequalities are feasible. The state estimation problem is then studied for the same complex network, where the purpose is to design a state estimator to estimate the network states through available output measurements such that dynamics (both slow and fast) of the estimation error is guaranteed to be globally asymptotically stable. Again, a matrix inequality approach is developed for the state estimation problem. Two numerical examples are presented to verify the effectiveness and merits of the proposed synchronization scheme and state estimation formulation. It is worth mentioning that our main results are still valid even if the slow subsystems within the network are unstable.
Year
DOI
Venue
2015
10.1109/TCYB.2014.2356560
IEEE transactions on cybernetics
Keywords
Field
DocType
singularly perturbed system (sps),exponential synchronization,state estimation,kronecker product,complex network,symmetric matrices,synchronization,couplings,complex networks
Synchronization,Mathematical optimization,Kronecker product,Nonlinear system,Control theory,Matrix (mathematics),Symmetric matrix,Singular perturbation,Complex network,Mathematics,Stability theory
Journal
Volume
Issue
ISSN
PP
99
2168-2275
Citations 
PageRank 
References 
13
0.56
18
Authors
5
Name
Order
Citations
PageRank
Chenxiao Cai1503.57
Zidong Wang211003578.11
Jing Xu3482.90
Xiaohui Liu45042269.99
Fuad E. Alsaadi542917.38