Global Synchronization of Complex Networks Perturbed by Brown Noises and Poisson Noises

Title
Global Synchronization of Complex Networks Perturbed by Brown Noises and Poisson Noises
Author(s)
박주현Y. Zhang[Y. Zhang]B. Song[B. Song]G. Shi[G. Shi]Z.G. Wu[Z.G. Wu]
Keywords
COUPLED NEURAL-NETWORKS; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; STOCHASTIC SYNCHRONIZATION; NONLINEAR-SYSTEMS; GROWTH; MODEL; ARRAYS; WIENER; DELAYS
Issue Date
201409
Publisher
SPRINGER BIRKHAUSER
Citation
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, v.33, no.9, pp.2827 - 2849
Abstract
Stochastic disturbances, such as Brown noises and Poisson noises, are ubiquitous in the real world. It is necessary to consider these noises' effect for dynamical behaviors of complex networks. This paper addresses the synchronization problem for complex networks perturbed by Brown noises and Poisson noises. By utilizing the martingale theory such as the predictable projection operator and the dual predictable projection operator, we transform the expectation of the stochastic integral with respect to the Poisson process into the expectation of Lebesgue integral. Then, based on this, this paper presents a global synchronization criterion for complex networks perturbed by Brown noises and Poisson noises. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed approach.
URI
http://hdl.handle.net/YU.REPOSITORY/30919http://dx.doi.org/10.1007/s00034-014-9781-x
ISSN
0278-081X
Appears in Collections:
공과대학 > 전기공학과 > Articles
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