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Synchronization of Derivative Coupled CDNs with Hybrid Impulses

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Impulsive Synchronization of Complex Dynamical Networks

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Abstract

In this chapter, the leader-following synchronization issue for a class of Lur’e networks with nonlinear couplings and multi-delay with various sizes is studied. A kind of impulsive pinning controllers is designed for achieving exponential synchronization. To handle the derivative coupling, some mathematical techniques are used and a novel Lyapunov candidate functional is proposed. By utilizing the definition of average impulsive interval, parameter variation method, and contradiction method, sufficient synchronization criteria are derived. Noticeably, convergence rates of impulses with different functions of impulsive effects are discussed specifically. Finally, several numerical simulations are given to show the feasibility of given theorems.

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References

  1. Linyuan, L., Zhou, T.: Link prediction in complex networks: A survey. Physica A: Statistical Mechanics and its Applications. 390, 1150–1170 (2011)

    Google Scholar 

  2. Cowan, R., Jonard, N.: Network structure and the diffusion of knowledge. Journal of Economic Dynamics and Control. 28, 1557–1575 (2004)

    Google Scholar 

  3. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.U.: Complex networks: Structure and dynamics. Physics Reports. 424, 175–308 (2006)

    Google Scholar 

  4. Soh, H., Lim, S., Zhang, T., Fu, X., Lee, G.K.K., Hung, T.G.G., Di, P., Prakasam, S., Wong, L.: Weighted complex network analysis of travel routes on the Singapore public transportation system. Physica A: Statistical Mechanics and its Applications. 389, 5852–5863 (2010)

    Google Scholar 

  5. Dou, C., Yue, D., Li, X., Xue, Y.: MAS-Based management and control strategies for integrated hybrid energy system. IEEE Transactions on Industrial Informatics. 12, 1332–1349 (2016)

    Google Scholar 

  6. Feng, J., Xie, J., Wang, J., Zhao, Y.: Secure synchronization of stochastic complex networks subject to deception attack with nonidentical nodes and internal disturbance. Information Sciences. 547, 514–525 (2021)

    Google Scholar 

  7. Li, C., Chen, G.: Synchronization in general complex dynamical networks with coupling delays. Physica A: Statistical Mechanics and its Applications. 343, 263–278 (2004)

    Google Scholar 

  8. Liu, X., Chen, T.: Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix. Physica A: Statistical Mechanics and its Applications. 387, 4429–4439 (2008)

    Google Scholar 

  9. Tan, X., Cao, J., Rutkowski, L.: Distributed dynamic self-triggered control for uncertain complex networks with Markov switching topologies and random time-varying delay. IEEE Transactions on Network Science and Engineering. 7, 1111–1120 (2020)

    Google Scholar 

  10. Long, Y., Park, J.H., Ye, D.: Finite frequency fault detection for a class of nonhomogeneous Markov jump systems with nonlinearities and sensor failures. Nonlinear Dynamics. 96, 285–299 (2019)

    Google Scholar 

  11. Wang, J., Feng, J., Xu, C., Zhao, Y.: Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix. Nonlinear Dynamics. 67, 1635–1646 (2012)

    Google Scholar 

  12. Gao, J., Zhao, Z., Wang, J., Tan, T., Ma, M.: Event-triggered output feedback control for discrete Markov jump systems under deception attack. Journal of the Franklin Institute. 357, 6435–6452 (2020)

    Google Scholar 

  13. Xu, C., Tong, D., Chen, Q., Zhou, W., Xu, Y.: Exponential synchronization of chaotic systems with stochastic noise via periodically intermittent control. International Journal of Robust and Nonlinear Control. 30, 2611–2624 (2020)

    Google Scholar 

  14. Wu, K., Li, B., Du, Y., Du, S.: Synchronization for impulsive hybrid-coupled reaction-diffusion neural networks with time-varying delays. Communications in Nonlinear Science and Numerical Simulation. 82, 105031 (2020)

    Google Scholar 

  15. Yu, C., Qin, J., Gao, H.: Cluster synchronization in directed networks of partial-state coupled linear systems under pinning control. Automatica. 50, 2341–2349 (2014)

    Google Scholar 

  16. Ahmed, M.A.A., Liu, Y., Zhang, W., Alsaadi, F.E.: Exponential synchronization via pinning adaptive control for complex networks of networks with time delays. Neurocomputing. 225, 198–204 (2017)

    Google Scholar 

  17. Cheng, L., Yang, Y., Li, L., Sui, X.: Finite-time hybrid projective synchronization of the drive-response complex networks with distributed-delay via adaptive intermittent control. Physica A: Statistical Mechanics and its Applications. 500, 273–286 (2018)

    Google Scholar 

  18. Zhou, P., Cai, S., Shen, J., Liu, Z.: Adaptive exponential cluster synchronization in colored community networks via a periodically intermittent pinning control. Nonlinear Dynamics. 92, 905–921 (2018)

    Google Scholar 

  19. Zhang, B., Dou, C., Yue, D., Zhang, Z., Zhang, T.: A cyber-physical cooperative hierarchical control strategy for islanded microgrid facing with random communication failure. IEEE Systems Journal. 14, 2849–2860 (2020)

    Google Scholar 

  20. Liu, D., Ye, D.: Pinning-observer-based secure synchronization control for complex dynamical networks subject to DoS attacks. IEEE Transactions on Circuits and Systems I: Regular Papers. 67, 5394–5404 (2020)

    Google Scholar 

  21. Peng, D., Li, X.: Leader-following synchronization of complex dynamic networks via event-triggered impulsive control. Neurocomputing. 412, 1–10 (2020)

    Google Scholar 

  22. Li, H., Hu, C., Jiang, Y., Wang, Z., Teng, Z.: Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks. Chaos, Solitons and Fractals. 92, 142–149 (2016)

    Google Scholar 

  23. Li, Z., Fang, J., Huang, T., Miao, Q.: Synchronization of stochastic discrete-time complex networks with partial mixed impulsive effects. Journal of the Franklin Institute. 354, 4196–4214 (2017)

    Google Scholar 

  24. Zhou, Y., Zeng, Z.: Event-triggered impulsive control on quasi-synchronization of memristive neural networks with time-varying delays. Neural Networks. 110, 55–65 (2019)

    Google Scholar 

  25. He, W., Qian, F., Cao, J.: Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control. Neural Networks. 85, 1–9 (2017)

    Google Scholar 

  26. Wang, Y., Lu, J., Liang, J., Cao, J., Perc, M.: Pinning synchronization of nonlinear coupled Lur’e networks under hybrid impulses. IEEE Transactions on Circuits and Systems II: Express Briefs. 66, 432–436 (2019)

    Google Scholar 

  27. Wu, Y., Li, Y., Li, W.: Synchronization of random coupling delayed complex networks with random and adaptive coupling strength. Nonlinear Dynamics. 96, 2393–2412 (2019)

    Google Scholar 

  28. Chen, H., Shi, P., Lim, C.C.: Synchronization control for neutral stochastic delay Markov networks via single pinning impulsive strategy. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 50, 5406–5419 (2020)

    Google Scholar 

  29. Cai, S., Zhou, P., Liu, Z.: Synchronization analysis of hybrid-coupled delayed dynamical networks with impulsive effects: A unified synchronization criterion. Journal of the Franklin Institute. 352, 2065–2089 (2015)

    Google Scholar 

  30. Yu, N., Zhu, W.: Event-triggered impulsive chaotic synchronization of fractional-order differential systems. Applied Mathematics and Computation. 388, 125554 (2021)

    Google Scholar 

  31. Lu, J., Ho, D.W.C., Cao, J.: A unified synchronization criterion for impulsive dynamical networks. Automatica. 46, 1215–1221 (2010)

    Google Scholar 

  32. Yang, Z., Xu, D.: Stability analysis and design of impulsive control systems with time delay. IEEE Transactions on Automatic Control. 52, 1448–1454 (2007)

    Google Scholar 

  33. Wu, Z., Liu, D., Ye, Q.: Pinning impulsive synchronization of complex-variable dynamical network. Communications in Nonlinear Science and Numerical Simulation. 20, 273–280 (2015)

    Google Scholar 

  34. Wang, X., Liu, X., She, K., Zhong, S.: Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes. Nonlinear Analysis: Hybrid Systems. 26, 307–318 (2017)

    Google Scholar 

  35. Tang, Z., Park, J.H., Lee, T.H.: Distributed adaptive pinning control for cluster synchronization of nonlinearly coupled Lur’e networks. Communications in Nonlinear Science and Numerical Simulation. 39, 7–20 (2016)

    Google Scholar 

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Authors and Affiliations

  1. School of Internet of Things Engineering, Jiangnan University, Wuxi, Jiangsu, China

    Ze Tang, Dong Ding, Yan Wang & Zhicheng Ji

  2. Yeungnam University, Kyongsan, Korea (Republic of)

    Ju H. Park

Authors
  1. Ze Tang
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  2. Dong Ding
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  3. Yan Wang
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  4. Zhicheng Ji
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  5. Ju H. Park
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Correspondence to Ze Tang .

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Tang, Z., Ding, D., Wang, Y., Ji, Z., Park, J.H. (2022). Synchronization of Derivative Coupled CDNs with Hybrid Impulses. In: Impulsive Synchronization of Complex Dynamical Networks. Springer, Singapore. https://doi.org/10.1007/978-981-16-5383-4_8

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  • DOI: https://doi.org/10.1007/978-981-16-5383-4_8

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-5382-7

  • Online ISBN: 978-981-16-5383-4

  • eBook Packages: EngineeringEngineering (R0)

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