Mixed outer synchronization of two coupled complex networks with time-varying delay coupling and non-delay coupling

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• 作者：Sa Sheng (1)
  Jianwen Feng (1)
  Ze Tang (2)
  Yi Zhao (1)
  
  1. College of Mathematics and Computational Sciences ; Shenzhen University ; Shenzhen ; 518060 ; People鈥檚 Republic of China
  2. Department of Electrical Engineering ; Yeungnam University ; Gyeongsan ; Gyeongbuk ; 712-749 ; Republic of Korea
  
• 关键词：Mixed outer synchronization ; Time ; varying delay ; Complex network ; Pinning control ; Impulsive control
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：80
• 期：1-2
• 页码：803-815
• 全文大小：1,546 KB
• 参考文献：1. Watts, DJ, Strogatz, SH (1998) Collective dynamics of small-world networks. Nature 393: pp. 440-442 CrossRef
  2. Barbaasi, AL, Albert, R (1999) Emergence of scaling in random networks. Science 286: pp. 509-512 CrossRef
  3. Strogatz, SH (2001) Exploring complex networks. Nature 410: pp. 268-276 CrossRef
  4. Wang, XF, Chen, G (2002) Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Trans. Cir. Syst. 49: pp. 54-62 CrossRef
  5. Li, X, Wang, X, Chen, G (2004) Pinning a complex dynamical networks to its equilibrium. IEEE Trans. Cir. Syst. I 51: pp. 2074-2087 CrossRef
  6. Chen, T, Liu, X, Lu, W (2007) Pinning complex networks by a single controller. IEEE Trans. Cir. Syst. 54: pp. 1317-1326 CrossRef
  7. Yu, W, Chen, G, L眉, J (2009) On pinning synchronization of complex dynamical networks. Automatica 45: pp. 429-435 CrossRef
  8. Zhou, J, Xiang, L, Liu, ZR (2007) Synchronization in complex delayed dynamical networks with impulsive effects. Phys. A 384: pp. 684-692 CrossRef
  9. Li, P, Cao, JD, Wang, ZD (2007) Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Phys. A 373: pp. 261-272 CrossRef
  10. Lu, JQ, Jurgen, Kurths, Cao, J, Nariman, Mahdavi, Huang, C (2012) Synchronization control for nonlinear stochastic dynamical networks: pinning impulsive strategy. IEEE Trans. Neural. Syst. 23: pp. 285-292 CrossRef
  11. Liu, X (1994) Stability results for impulsive differential systems with applications to population growth models. Dyn. Stab. Syst. 9: pp. 163-174 CrossRef
  12. Liu, X, Willms, AR (1996) Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft. Math. Probl. Eng. 2: pp. 277-299 CrossRef
  13. Yang, T, Chua, LO (1997) Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans. Circuits Syst. I: Fund. Theory Appl. 44: pp. 976-988 CrossRef
  14. Montbri, Ernest, Kurths, Jrgen, Blasius, Bernd (2004) Synchronization of two interacting populations of oscillators. Phys. Rev. E 70: pp. 056125 CrossRef
  15. Li, C, Sun, W, Kurths, J (2007) Synchronization between two coupled complex networks. Phys. Rev. E 76: pp. 046204 CrossRef
  16. Tang, H, Chen, L, Lu, J, Tse, CK (2008) Adaptive synchronization between two complex networks with nonidentical topological structures. Phys. A 387: pp. 5623-5630 CrossRef
  17. Wu, XQ, Zheng, WX, Zhou, J (2009) Generalized outer synchronization between complex dynamical networks. Chaos 19: pp. 013109 CrossRef
  18. Sun, W, Wang, R, Wang, W, Cao, J (2010) Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays. Cogn. Neurodyn. 4: pp. 225-231 CrossRef
  19. Li, ZC, Xue, XP (2010) Outer synchronization of coupled networks using arbitrary coupling strength. Chaos 20: pp. 023106 CrossRef
  20. Sun, W, Yan, ZZ, Chen, SH, L眉, JH (2011) Outer synchronization of complex networks by impulse. Commun. Theor. Phys 56: pp. 885-890 CrossRef
  21. Zheng, S (2012) Inner-outer synchronization analysis of two complex networks with delayed and non-delayed coupling. J. Inf. Comput. Sci. 7: pp. 011-018
  22. Sun, W, Chen, Z, L眉, J, Chen, S (2012) Outer synchronization of complex networks with delay via impulse. Nonlinear Dyn. 89: pp. 1751-1764 CrossRef
  23. He, P, Jing, CG, Fan, T, Chen, CZ (2013) Outer synchronization of complex networks with multiple coupling time-varying delays. Int. J. Control Autom. 6: pp. 197-216
  24. Wang, J.W., Ma, Q.H., Li, Z., Mohammed, S.A.E.: Mixed outer synchronization of coupled complex networks with time-varying coupling delay. Chaos 21(1), 013121 (2011)
  25. Zheng, S, Shao, W (2013) Mixed outer synchronization of dynamical networks with nonidentical nodes and output coupling. Nonlinear Dyn. 73: pp. 2343-2352 CrossRef
  26. Dai, AD, Zhou, WN, Feng, JW, Fang, JA, Xu, SB (2013) Exponential synchronization of the coupling delayed switching complex dynamical networks via impulsive control. Adv. Differ. Equ. 2013: pp. 195 CrossRef
  27. Xia, W, Cao, J (2009) Pinning synchronization of delayed dynamical networks via periodically intermittent control. Chaos 19: pp. 013120 CrossRef
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

In this paper, mixed outer synchronization between two different complex dynamical networks without and with time-varying delayed couplings is investigated. By pinning only a fraction of the nodes in the response network, some effective mixed outer synchronization criteria are obtained based on the Lyapunov stability theory. As a result, the mixed outer synchronization between two complex networks is achieved. Then, in the view of the generalized time-varying delayed different inequalities, some sufficient conditions for mixed outer exponential synchronization are derived by imposing the impulsive controllers to the nodes of the corresponding response network. Finally, some numerical simulations are presented to demonstrate the effectiveness and feasibility of the results we obtained in this paper.