Pinning Control of Uncertain Complex Networks to a Homogeneous Orbit

A sufficient condition for the stability of uncertain complex networks is derived in terms of linear matrix inequalities based on the V-stability tool, which associates the self-dynamics of nodes with passivity degrees. Then, a pinning control strategy is proposed on the developed condition to stabi...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2009-03, Vol.56 (3), p.235-239
Main Authors: Wu, Yingying, Wei, Wei, Li, Guoyang, Xiang, Ji
Format: Article
Language:English
Subjects:
Analytical models
Chirp
Circuits
Complex networks
Costs
Coupling circuits
Heart
Linear matrix inequalities
Mathematical analysis
Networks
Orbits
Passivity
Pinning
Pinning control
Programmable control
Stability
Strategy
Sufficient conditions
uncertain complex networks
V-stability
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Summary:A sufficient condition for the stability of uncertain complex networks is derived in terms of linear matrix inequalities based on the V-stability tool, which associates the self-dynamics of nodes with passivity degrees. Then, a pinning control strategy is proposed on the developed condition to stabilize the uncertain complex networks to a homogenous orbit. As an illustrative example, a network with the Lorenz system as node self-dynamics is simulated to verify the analytic results.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2009.2015350