中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20506-020506.doi: 10.1088/1674-1056/19/2/020506

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Hierarchical-control-based output synchronization of coexisting attractor networks

宋运忠1, 唐贻发2   

  1. (1)Complex Networks Laboratory, College of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, China;State Key Laboratory of Scientific & Engineering Computing, Academy of Mathematics & Systems Science, Chinese Academy of Scien; (2)State Key Laboratory of Scientific & Engineering Computing, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2009-05-11 修回日期:2009-07-30 出版日期:2010-02-15 发布日期:2010-02-15
  • 基金资助:
    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)

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)   

  1. 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
  • Received:2009-05-11 Revised:2009-07-30 Online:2010-02-15 Published:2010-02-15
  • Supported by:
    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)

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摘要： 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.

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.

Key words: hierarchical control, passive control, composite Lyapunov function, the Newton--Leipnik equation attractor

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 02.30.Yy (Control theory)