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Stability of dynamicalnetworks with non-identical nodes: A multiple V-Lyapunov function method

Zhao, Jun; Hill, David; Liu, Tao

Description

Global asymptotic stability of 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 stability criterion is proposed in terms of matrix norms and eigenvalues of some lower-dimensional matrices. Based on this criterion, an optimization problem is formed whose solution can be used to test global...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/64740
Source: Automatica
DOI: 10.1016/j.automatica.2011.09.012

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