DocumentCode
1745028
Title
Synchronization in arrays of coupled nonlinear systems: passivity circle criterion and observer design
Author
Wu, Chai Wah
Author_Institution
IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
Volume
3
fYear
2001
fDate
6-9 May 2001
Firstpage
692
Abstract
It has been shown that synchronization between two nonlinear systems can be studied as a control theory problem. We show that this relationship can be extended to synchronization in coupled arrays of nonlinear systems. In particular, we extend several stability conditions to synchronization criteria in arbitrarily coupled arrays: the passivity criterion, the circle criterion and a result on observer design of Lipschitz nonlinear systems
Keywords
nonlinear control systems; observers; stability; synchronisation; Lipschitz nonlinear systems; arbitrarily coupled arrays; circle criterion; control theory problem; coupled arrays; coupled nonlinear system arrays; observer design; passivity circle criterion; stability conditions; synchronization; Asymptotic stability; Chaos; Control theory; Couplings; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Nonlinear systems; Stability criteria; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.921405
Filename
921405
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