Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 818242, 7 pages.

Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology

Bo Liu, Xiaoling Wang, Yanping Gao, Guangming Xie, and Housheng Su

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Abstract

This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is informed by the synchronous state via introducing decentralized adaptive strategies to the coupling strengths and feedback gains. Finally, some numerical simulations are worked out to illustrate the analytical results.

Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 818242, 7 pages.

Dates
First available in Project Euclid: 7 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1399493299

Digital Object Identifier
doi:10.1155/2013/818242

Mathematical Reviews number (MathSciNet)
MR3103045

Zentralblatt MATH identifier
06950890

Citation

Liu, Bo; Wang, Xiaoling; Gao, Yanping; Xie, Guangming; Su, Housheng. Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology. J. Appl. Math. 2013, Special Issue (2013), Article ID 818242, 7 pages. doi:10.1155/2013/818242. https://projecteuclid.org/euclid.jam/1399493299


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