Copyright © 2010 Yang Tang and Jian-an Fang. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The synchronization problem of new discrete-time complex networks with
randomly occurring coupling and distributed time-varying delay is investigated. Compared
with the previous work, the distributed delay is assumed to be timevarying. Moreover,
the effects of both variation range and probability distribution of distributed time-varying
delay are taken into consideration. The randomly occurring coupling and distributed delay
in complex networks are considered by introducing two Bernoulli stochastic variables.
By using some novel analysis techniques, Kronecker product and Lyapunov functional
candidate, some delay-distribution-dependent conditions are derived to ensure that the
discrete-time complex network with randomly coupling and distributed time-varying delay
is synchronized in mean square. A numerical simulation example is provided to verify the
effectiveness and the applicability of the proposed approach.