Global synchronization of stochastic delayed complex networks

Title
Global synchronization of stochastic delayed complex networks
Author(s)
박주현B. Song[B. Song]Z.G. Wu[Z.G. Wu]Y. Zhang[Y. Zhang]
Keywords
ROBUST STABILITY-CRITERIA; DYNAMICAL NETWORKS; NEURAL-NETWORKS; COUPLING DELAYS; SYSTEMS; ARRAYS; MODEL
Issue Date
201212
Publisher
SPRINGER
Citation
NONLINEAR DYNAMICS, v.70, no.4, pp.2389 - 2399
Abstract
This paper is concerned with the delay-dependent synchronization criterion for stochastic complex networks with time delays. Firstly, expectations of stochastic cross terms containing the It integral are investigated by utilizing stochastic analysis techniques. In fact, in order to obtain less conservative delay-dependent conditions for stochastic delay systems including stochastic complex (or neural) networks with time delays, how to deal with expectations of these stochastic cross terms is an important problem, and expectations of these stochastic terms were not dealt with properly in many existing results. Then, based on the investigation of expectations of stochastic cross terms, this paper proposes a novel delay-dependent synchronization criterion for stochastic delayed complex networks. In the derivation process, the mathematical development avoids bounding stochastic cross terms. Thus, the method leads to a simple criterion and shows less conservatism. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.
URI
http://hdl.handle.net/YU.REPOSITORY/26715http://dx.doi.org/10.1007/s11071-012-0627-4
ISSN
0924-090X
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공과대학 > 전기공학과 > Articles
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