- Title
- Finite-time synchronization of complex networks with nonidentical discontinuous nodes
- Creator
- Yang, Xinsong; Wu, Zhiyou; Cao, Jinde
- Date
- 2013
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/101818
- Identifier
- vital:10735
- Identifier
- ISSN:0924-090X
- Abstract
- In this paper, we study the finite-time synchronization problem for linearly coupled complex networks with discontinuous nonidentical nodes. Firstly, new conditions for general discontinuous chaotic systems is proposed, which is easy to be verified. Secondly, a set of new controllers are designed such that the considered model can be finite-timely synchronized onto any target node with discontinuous functions. Based on a finite-time stability theorem for equations with discontinuous right-hand and inequality techniques, several sufficient conditions are obtained to ensure the synchronization goal. Results of this paper are general, and they extend and improve existing results on both continuous and discontinuous complex networks. Finally, numerical example, in which a BA scale-free network with discontinuous Sprott and Chua circuits is finite-timely synchronized onto discontinuous Chen system, is given to show the effectiveness of our new results. © 2013 Springer Science+Business Media Dordrecht.
- Relation
- Nonlinear Dynamics Vol. 73, no. 4 (2013), p. 2313-2327
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- Asymmetric coupling; Complex network; Discontinuous chaotic system; Finite-time synchronization; Discontinuous functions; Finite time stability; Finite-time synchronizations; Inequality techniques; Non-identical; Non-identical nodes; Scale free networks; Chaotic systems; Complex networks; Synchronization; 01 Mathematical Sciences; 09 Engineering
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