Title :
Synchronization in arrays of coupled nonlinear systems: passivity circle criterion and observer design
Author_Institution :
IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
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;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921405
