Article ID Journal Published Year Pages File Type
974965 Physica A: Statistical Mechanics and its Applications 2008 9 Pages PDF
Abstract

In this paper, a new method is presented to analyze the linear stability of the synchronized state in arbitrarily coupled complex dynamical systems with time delays. The coupling configurations are not restricted to the symmetric and irreducible connections or the non-negative off-diagonal links. The stability criteria are obtained by using Lyapunov–Krasovskii functional method and subspace projection method. These criteria reveal the relationship between coupling matrices and stability of the dynamical networks.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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