Global Asymptotic Synchronization of Coupled Interconnected Recurrent Neural Networks via Pinning Control

详细信息    查看全文

• 作者：Zhanshan Wang (19)
  Dakai Zhou (19)
  Dongsheng Ma (19)
  Shuxian Lun (20)
  
• 关键词：Interconnected recurrent neural networks ; delayed couple ; global asymptotic synchronization ; pinning control
• 刊名：Lecture Notes in Computer Science
• 出版年：2012
• 出版时间：2012
• 年：2012
• 卷：7367
• 期：1
• 页码：312-321
• 全文大小：186KB
• 参考文献：1. Watts, D., Strogatz, S.: Collective dynamics of small-world networks. Nature聽393, 440鈥?42 (1998) CrossRef
  2. Pecora, L., Carroll, T.: Master stability function for synchronized coupled systems. Phys. Rev. Lett.聽80, 2109鈥?112 (1998) CrossRef
  3. Wu, C., Chua, L.: Synchronization in an array of linearly coupled dynamical systems. IEEE Trans. Circ. Syst-I聽42, 430鈥?47 (1995) CrossRef
  4. Pastor-Satorras, R., Vespignani, A.: Epidemic spread in scale-free networks. Phys. Rev. Lett.聽86, 3200鈥?203 (2001) CrossRef
  5. Wang, X., Chen, G.: Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Trans. Circ. Syst-I聽49, 54鈥?2 (2002) CrossRef
  6. Zhou, J., Chen, T.: Synchronization in general complex delayed dynamical networks. IEEE Trans. Circ. Syst-I聽53, 733鈥?44 (2006) CrossRef
  7. Lu, J., Yu, X., Chen, G.: Chaos synchronization of general complex dynamical networks. Physica A聽33, 281鈥?02 (2004) CrossRef
  8. Wu, J., Jiao, L.: Synchronization in complex dynamical networks with nonsymmetric coupling. Physica D聽237, 2487鈥?498 (2008) CrossRef
  9. Zhan, M., Gao, J., Wu, Y.: Chaos synchronization in coupled systems by applying pinning control. Phys. Rev. E聽76, 036203 (2007)
  10. Wang, X., Chen, G.: Pinning control of scale-free dynamical networks. Physica A聽310, 521鈥?31 (2002) CrossRef
  11. Li, X., Wang, X., Chen, G.: Pinning a complex dynamical network to its equilibrium. IEEE Trans. Circ. Syst-I聽51, 2074鈥?087 (2004) CrossRef
  12. Chen, T., Liu, X., Lu, W.: Pinning complex networks by a single controller. IEEE Trans. Circ. Syst-I聽54, 1317鈥?326 (2007) CrossRef
  13. Zhou, J., Wu, Q., Xiang, L.: Pinning complex delayed dynamical networks by a single impulse controller. IEEE Trans. Circ. Syst-I聽58, 1鈥?2 (2011) CrossRef
  14. Zhou, J., Wu, X., Yu, W.: Pinning synchronization of delayed neural networks. Chaos聽18, 043111 (2008)
  15. Zhao, J., Lu, J., Zhang, Q.: Pinning a complex delayed dynamical network to a homogenous trajectory. IEEE Trans. Circ. Syst-II聽56, 514鈥?17 (2009) CrossRef
  16. Guo, W., Austin, F., Chen, S.: Pinning synchronization of the complex networks with non-delayed and delayed coupling. Phys. Lett. A聽373, 1565鈥?572 (2009) CrossRef
  17. Lu, J., Yu, X., Chen, G.: Chaos synchronization of general complex dynamical networks. Phys. A聽334, 281鈥?02 (2004) CrossRef
  18. Lu, J., Chen, G.: A time-varying complex dynamical network models and its controlled synchronization criteria. IEEE Trans. Autom. Control聽50, 841鈥?46 (2005) CrossRef
  19. Zhao, J., Lu, J., Wu, X.: Pinning control of general complex dynamical networks with optimization. Science China - Information Sciences聽53, 813鈥?22 (2010) CrossRef
  
• 作者单位：Zhanshan Wang (19)
  Dakai Zhou (19)
  Dongsheng Ma (19)
  Shuxian Lun (20)
  
  19. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, People鈥檚 Republic of China
  20. College of Engineering, Bohai University, Jinzhou, 121000, People鈥檚 Republic of China
  

文摘

Global asymptotic synchronization problem of a coupled interconnected recurrent neural networks with linearly delayed coupled has been investigated. By using the state feedback and delayed state feedback pinning control method, two different pinning synchronization criteria have been established. One is based on the matrix eigenvalue of the coupled matrix, the other is based on the matrix inequality of the known networks information. Some remarks on the synchronization criteria are used to show the characteristics of the proposed results.