Synchronization in arrays of coupled nonlinear systems: Passivity, circle criterion, and observer design. (English) Zbl 0999.94577

Wu, Chai Wah

IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 48, No. 10, 1257-1261 (2001).

MSC:

94C05	Analytic circuit theory
34C60	Qualitative investigation and simulation of ordinary differential equation models
93D05	Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93D30	Lyapunov and storage functions
94C15	Applications of graph theory to circuits and networks
93C10	Nonlinear systems in control theory

Keywords:

algebraic connectivity; nonlinear control; random graphs; synchronization of chaos; coupled arrays of nonlinear systems; passivity criterion; circle criterion; observer