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Hierarchical-control-based output synchronization of coexisting attractor networks |
| Song Yun-Zhong(宋运忠)a)b)† and Tang Yi-Fa(唐贻发)b) |
| a Complex Networks Laboratory, College of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, China; b State Key Laboratory of Scientific & Engineering Computing, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract This paper introduces the concept of hierarchical-control-based output synchronization of coexisting attractor networks. Within the new framework, each dynamic node is made passive at first utilizing intra-control around its own arena. Then each dynamic node is viewed as one agent, and on account of that, the solution of output synchronization of coexisting attractor networks is transformed into a multi-agent consensus problem, which is made possible by virtue of local interaction between individual neighbours; this distributed working way of coordination is coined as inter-control, which is only specified by the topological structure of the network. Provided that the network is connected and balanced, the output synchronization would come true naturally via synergy between intra and inter-control actions, where the rightness is proved theoretically via convex composite Lyapunov functions. For completeness, several illustrative examples are presented to further elucidate the novelty and efficacy of the proposed scheme.
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Received: 11 May 2009
Revised: 30 July 2009
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Gg
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(Control of chaos, applications of chaos)
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02.30.Yy
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(Control theory)
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| Fund: Project supported by the State Key
Laboratory of Scientific &} Engineering Computing, Chinese Academy
of Sciences, the National Natural Science Foundation of China (Grant
No. 60850004), the Funds for Creative Research Talents of Henan
Education Bureau, China (Grant No. 2009HASTIT021), the Natural
Science Foundation of Henan Education Bureau, China (Grant No.
2008A120005), Fundamental &} Frontier Technology Research Planning
Project of Henan Province, China (Grant No. 072300460050), Doctoral
Program of Henan Polytechnic University (Grant No. 648606), Young
Teacher Key Talents Program of Henan Polytechnic University (Grant
No. 649033) |
Cite this article:
Song Yun-Zhong(宋运忠) and Tang Yi-Fa(唐贻发) Hierarchical-control-based output synchronization of coexisting attractor networks 2010 Chin. Phys. B 19 020506
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