Paper Info
Title
Synchronization of Coupled Neutral-Type Delay Partial Differential Systems.
Abstract
This paper considers the asymptotical synchronization and \(H_\infty \) synchronization for coupled neutral-type delay partial differential systems (NDPDSs). First, we construct a coupled synchronization error dynamic. Using the method of nonsingular matrix transformation, we decouple these coupled synchronization error dynamical systems. Then we study the asymptotical stability of the decoupled synchronization error dynamical systems through the Lyapunov–Krasovskii functional method, which implies the asymptotical synchronization of the coupled NDPDSs. Furthermore, when external disturbances enter the coupled NDPDSs, the \(H_\infty \) synchronization problem is also considered. The equivalence between the \(H_\infty \) stability of decoupled synchronization error dynamical systems and the \(H_\infty \) synchronization of coupled NDPDSs is proved by rigorous mathematical analysis. Then the criterion for the \(H_\infty \) stabilization is presented, which guarantees the \(H_\infty \) synchronization of the coupled NDPDSs. Moreover, as a remarkable difference between the ordinary differential systems and partial differential systems, the effect of the spatial domain on the synchronization is revealed through the obtained criteria. At last, numerical examples are given to illustrate the correctness of our results.
Year
DOI
Venue
2016
10.1007/s00034-015-0072-y
Circuits Systems and Signal Processing
Keywords
Field
DocType
Synchronization, H infinity, Partial differential system, Delay, Neutral
H-infinity methods in control theory,Synchronization,Control theory,Correctness,Partial derivative,Equivalence (measure theory),Dynamical systems theory,Invertible matrix,Transformation matrix,Mathematics
Journal
Volume
Issue
ISSN
35
2
1531-5878
Citations 
PageRank 
References 
1
0.35
19
Authors
3
Name
Order
Citations
PageRank
Kaining Wu17211.70
Bing-Xin Zhao210.35
Yao Yu37822.67