Global Synchronization of Dynamical Networks with Non-identical Nodes: a Multiple V-Lyapunov Function Method

Date

2010

Authors

Zhao, Jun
Hill, David
Liu, Tao

Journal Title

Journal ISSN

Volume Title

Publisher

International Federation of Automatic Control (IFAC)

Abstract

The global synchronization problem for general dynamical networks with non-identical nodes is studied by introducing multiple V-Lyapunov functions. In such a network, the coupling strength, inner coupling matrix and outer coupling matrix are all allowed to be state-dependent and nonlinear. A global synchronization criterion is proposed in terms of matrix norms and eigenvalues of some lower-dimensional matrices. We also study the problem of how to achieve global synchronization by design of controllers under the scheme of multiple V-Lyapunov functions. The control action is regarded as a re-shape of outer coupling topology and the associated controllers are designed. In particular, a method of global synchronization by adding or removing a certain number of links is proposed.

Description

Keywords

Keywords: Control actions; Coupling matrix; Coupling strengths; Dynamical networks; Eigenvalues; Function methods; Global synchronization; Matrix norms; State-dependent; Controllers; Differential equations; Dynamical systems; Eigenvalues and eigenfunctions; Lyapuno

Citation

Source

Proceedings of NOLCOS 2010

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

DOI

10.3182/20100901-3-IT-2016.00113

Restricted until

2037-12-31