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http://hdl.handle.net/10397/6530
Title: | Synchronization of discrete-time complex networks with randomly occurring coupling and distributed time-varying delay | Authors: | Tang, Y Fang, JA |
Issue Date: | 27-Apr-2010 | Source: | Advances in difference equations, 27 Apr. 2010, v. 2010, 504956, p.1-19 | Abstract: | 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. | Keywords: | Delays discrete time systems Distributed parameter systems Lyapunov methods Mean square error methods Stochastic processes Time-varying systems |
Publisher: | Springer | Journal: | Advances in difference equations | ISSN: | 1687-1839 | EISSN: | 1687-1847 | DOI: | 10.1155/2010/504956 | Rights: | Copyright © 2010 Y. Tang and J.-a. 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. |
Appears in Collections: | Journal/Magazine Article |
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Tang_Discrete-Time_Complex_Delay.pdf | 640.73 kB | Adobe PDF | View/Open |
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