Synchronization of singular complex dynamical networks with time-varying delays

This paper considers delay dependent synchronizations of singular complex dynamical networks with time-varying delays. A modified Lyapunov–Krasovskii functional is used to derive a sufficient condition for synchronization in terms of LMIs (linear matrix inequalities) which can be easily solved by va...

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Veröffentlicht in:	Applied mathematics and computation 2010-12, Vol.217 (8), p.3916-3923
Hauptverfasser:	Koo, J.H., Ji, D.H., Won, S.C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Calculus of variations and optimal control Computation Delay Delay dependant criterion Exact sciences and technology LMIs Mathematical analysis Mathematical models Mathematics Networks Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Sciences and techniques of general use Singular system Synchronism Synchronization
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Beschreibung
Zusammenfassung:	This paper considers delay dependent synchronizations of singular complex dynamical networks with time-varying delays. A modified Lyapunov–Krasovskii functional is used to derive a sufficient condition for synchronization in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Numerical examples show the effectiveness of the proposed method.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.09.055