Title :
Controlled synchronization of complex dynamical networks with nonlinear nodes and couplings
Author :
Liu, Tao ; Dimirovski, Georgi M. ; Zhao, Jun
Author_Institution :
Key Lab. for Integrated Autom. of Process Ind. - Minist. of Educ., Northeastern Univ., Shenyang, China
Abstract :
Synchronization problem for a class of complex networks consisting of N nonlinear dynamical nodes that are nonlinearly and diffusively coupled is solved in here. The global synchronization of such networks is investigated via Lyapunov stability theory. Under assumptions that measurements full state vectors of each node are available and coupling coefficients are known, a family of decentralized nonlinear feedback controllers are designed to globally synchronize the network system. When coupling coefficients are unavailable, an adaptive mechanism is introduced to synthesize a family of decentralized adaptive controllers which guarantee the global synchronization. An illustrative example with Lorenz node systems along with the respective computer simulation results is given to demonstrate the effectiveness of the proposed solution to controlled synchronization.
Keywords :
Lyapunov methods; adaptive control; decentralised control; feedback; large-scale systems; nonlinear control systems; nonlinear dynamical systems; synchronisation; Lorenz node systems; Lyapunov stability theory; adaptive mechanism; complex dynamical networks; controlled synchronization; coupling coefficients; decentralized adaptive controllers; decentralized nonlinear feedback controllers; global synchronization; nonlinear nodes; Adaptive control; Cellular neural networks; Communication networks; Communication system control; Complex networks; Control systems; Couplings; Lyapunov method; Nonlinear control systems; Programmable control;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5280721
