Global robust stability and synchronization of networks with Lorenz-type nodes

Authors:
Zhisheng Duan;Guanrong Chen
Affiliations:
State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing, China;State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing, China
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

Citing 4
Cited 2

Stable concurrent synchronization in dynamic system networks

Neural Networks
Brief paper: On the V-stability of complex dynamical networks

Automatica (Journal of IFAC)
Criteria for global pinning-controllability of complex networks

Automatica (Journal of IFAC)
Brief paper: On pinning synchronization of complex dynamical networks

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

This brief addresses in a unified framework both global robust stability and synchronization problems for a class of direded networks with Lorenz-type nodes. When the key parameter in the node equation is modified, it covers the Lorenz, Chen, and Lü types of networks as special cases. Based on an observation about some special nonlinear characteristics of Lorenz-type systems, simple conditions are derived for global stability and synchronization of such networks, where the typical Lipschitz-type condition for nonlinear functions is not needed. By combining the pinning control strategy and a new linear control law, synchronization of a network with different nodes can be achieved. Several examples an given for illustration.