Abstract
Synchronization of Discrete-Time Complex Networks with Randomly Occurring Coupling and Distributed Time-Varying Delay
Highlights
Synchronization is an important property of complex networks, which can be seen in natural, social, physical and biological fields, and has been found applications in everywhere of real world 1–17
Due to the fact that time-varying delay takes the usual time delay as special case, in this paper, we aim to investigate synchronization of complex networks with the time-varying distributed delay
By employing some new techniques, the Kronecker product and linear matrix inequality LMI techniques, the synchronization criteria have been established for discrete-time complex networks with randomly distributed time-varying delay, as well as randomly occurring coupling
Summary
Synchronization is an important property of complex networks, which can be seen in natural, social, physical and biological fields, and has been found applications in everywhere of real world 1–17. In engineering applications such as network-based control, time-series analysis, and image processing, it is often necessary to formulate a discrete-time analog of the continuous-time networks. Very recently,Liu et al introduced the distributed delay in the form of constant delay into the discrete-time systems 9, 10. In practice, time-varying delay in networks occurs commonly in most designs. The study of complex networks with distributed time-varying delay is more important than those with constant delays
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