Passivity and synchronisation of complex dynamical networks with multiple derivative couplings

References

• An, X. L., Zhang, L., Li, Y. Z., & Zhang, J. G. (2014). Synchronization analysis of complex networks with multi-weights and its application in public traffic network. Physica A: Statistical Mechanics and its Applications, 412, 149–156. doi: 10.1016/j.physa.2014.06.033
   Web of Science ®Google Scholar
• Chen, W.-H., Jiang, Z., Lu, X., & Luo, S. (2015). H∞ synchronization for complex dynamical networks with coupling delays using distributed impulsive control. Nonlinear Analysis: Hybrid Systems, 17, 111–127.
   Web of Science ®Google Scholar
• Guo, L., Pan, H., & Nian, X. H. (2016). Adaptive pinning control of cluster synchronization in complex networks with Lurie-type nonlinear dynamics. Neurocomputing, 182, 294–303. doi: 10.1016/j.neucom.2015.12.024
   Web of Science ®Google Scholar
• He, C., & Li, J. M. (2018). Hybrid adaptive synchronization strategy for linearly coupled reaction-diffusion neural networks with time-varying coupling strength. Neurocomputing, 275, 1769–1781. doi: 10.1016/j.neucom.2017.10.022
   Web of Science ®Google Scholar
• Li, Z.-X., Park, J. H., & Wu, Z.-G. (2013). Synchronization of complex networks with nonhomogeneous Markov jump topology. Nonlinear Dynamics, 74, 65–75. doi: 10.1007/s11071-013-0949-x
   Web of Science ®Google Scholar
• Lou, X., & Cui, B. (2007). Passivity analysis of integro-differential neural networks with time-varying delays. Neurocomputing, 70, 1071–1078. doi: 10.1016/j.neucom.2006.09.007
   Web of Science ®Google Scholar
• Qin, Z., Wang, J. L., Huang, Y. L., & Ren, S. Y. (2017). Synchronization and H∞ synchronization of multi-weighted complex delayed dynamical networks with fixed and switching topologies. Journal of the Franklin Institute, 354, 7119–7138. doi: 10.1016/j.jfranklin.2017.08.033
   Web of Science ®Google Scholar
• Qiu, S. H., Huang, Y. L., & Ren, S. Y. (2018). Finite-time synchronization of multi-weighted complex dynamical networks with and without coupling delay. Neurocomputing, 275, 1250–1260. doi: 10.1016/j.neucom.2017.09.073
   Web of Science ®Google Scholar
• Song, Q., Liang, J., & Wang, Z. (2009). Passivity analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing, 72, 1782–1788. doi: 10.1016/j.neucom.2008.05.006
   Web of Science ®Google Scholar
• Su, L., & Shen, H. (2015). Mixed H∞ passive synchronization for complex dynamical networks with sampled-data control. Applied Mathematics and Computation, 259, 931–942. doi: 10.1016/j.amc.2015.03.033
   Web of Science ®Google Scholar
• Wang, Y., & Li, T. (2015). Synchronization of fractional order complex dynamical networks. Physica A, 428, 1–12. doi: 10.1016/j.physa.2015.02.051
   Web of Science ®Google Scholar
• Wang, X., She, K., Zhong, S., & Yang, H. (2016). New result on synchronization of complex dynamical networks with time-varying coupling delay and sampled-data control. Neurocomputing, 214, 508–515. doi: 10.1016/j.neucom.2016.06.033
   Web of Science ®Google Scholar
• Wang, J. L., & Wu, H. N. (2014). Adaptive output synchronization of complex delayed dynamical networks with output coupling. Neurocomputing, 142, 174–181. doi: 10.1016/j.neucom.2014.04.050
   Web of Science ®Google Scholar
• Wang, J. L., Wu, H. N., Huang, T., & Ren, S. Y. (2015). Passivity and synchronization of linearly coupled reaction-diffusion neural networks with adaptive coupling. IEEE Transactions on Cybernetics, 45, 1942–1952. doi: 10.1109/TCYB.2014.2362655
   PubMed Web of Science ®Google Scholar
• Wang, J.-L., Wu, H.-N., Huang, T., Ren, S.-Y., & Wu, J. (2017a). Passivity analysis of coupled reaction-diffusion neural networks with Dirichlet boundary conditions. IEEE Transactions on Systems, Man and Cybernetics: Systems, 47, 2148–2159. doi: 10.1109/TSMC.2016.2622363
   Web of Science ®Google Scholar
• Wang, J.-L., Wu, H.-N., Huang, T., Ren, S.-Y., & Wu, J. (2017b). Passivity of directed and undirected complex dynamical networks with adaptive coupling weights. IEEE Transactions on Neural Networks and Learning Systems, 28, 1827–1839. doi: 10.1109/TNNLS.2016.2558502
   PubMed Web of Science ®Google Scholar
• Wang, J. L., Wu, H. N., Huang, T., Ren, S. Y., & Wu, J. (2018). Passivity and output synchronization of complex dynamical networks with fixed and adaptive coupling strength. IEEE Transactions on Neural Networks and Learning Systems, 29, 364–376. doi: 10.1109/TNNLS.2016.2627083
   PubMed Web of Science ®Google Scholar
• Wang, J.-L., Xu, M., Wu, H.-N., & Huang, T. (2017). Passivity analysis and pinning control of multi-weighted complex dynamical networks. IEEE Transactions on Network Science Engineering, Article in Press, doi:10.1109/TNSE.2017.2771267.
   PubMed Web of Science ®Google Scholar
• Wang, J.-L., Yang, Z.-C., & Wu, H.-N. (2012). Passivity analysis of complex dynamical networks with multiple time-varying delays. Journal of Engineering Mathematics, 74, 175–188. doi: 10.1007/s10665-011-9480-6
   Web of Science ®Google Scholar
• Willems, J. C. (1972). Dissipative dynamical systems part I: General theory. Archive for Rational Mechanics and Analysis, 45, 321–351. doi: 10.1007/BF00276493
   Web of Science ®Google Scholar
• Xu, Y. H., Zhou, W. N., Fang, J. A., Sun, W., & Pan, L. (2010). Topology identification and adaptive synchronization of uncertain complex networks with non-derivative and derivative coupling. Journal of the Franklin Institute, 347, 1566–1576. doi: 10.1016/j.jfranklin.2010.07.007
   Web of Science ®Google Scholar
• Yang, L., Jiang, J., & Liu, X. (2016). Synchronization of fractional-order colored dynamical networks via open-plus-closed-loop control. Physica A, 443, 200–211. doi: 10.1016/j.physa.2015.09.062
   Web of Science ®Google Scholar
• Yao, J., Guan, Z. H., & Hill, D. J. (2009). Passivity-based control and synchronization of general complex dynamical networks. Automatica, 45, 2107–2113. doi: 10.1016/j.automatica.2009.05.006
   Web of Science ®Google Scholar
• Yao, J., Wang, H. O., Guan, Z.-H., & Xu, W. (2009). Passive stability and synchronization of complex spatio-temporal switching networks with time delays. Automatica, 45, 1721–1728. doi: 10.1016/j.automatica.2009.02.030
   Web of Science ®Google Scholar
• Zeng, H.-B., Park, J. H., & Shen, H. (2015). Robust passivity analysis of neural networks with discrete and distributed delays. Neurocomputing, 149, 1092–1097. doi: 10.1016/j.neucom.2014.07.024
   Web of Science ®Google Scholar
• Zhang, W. L., Li, C., Huang, T. W., & Huang, J. J. (2018). Fixed-time synchronization of complex networks with nonidentical nodes and stochastic noise perturbations. Physica A: Statistical Mechanics and its Applications, 492, 1531–1542. doi: 10.1016/j.physa.2017.11.079
   Web of Science ®Google Scholar
• Zhang, J., Ma, L., & Liu, Y. (2016). Passivity analysis for discrete-time neural networks with mixed time-delays and randomly occurring quantization effects. Neurocomputing, 216, 657–665. doi: 10.1016/j.neucom.2016.08.020
   Web of Science ®Google Scholar
• Zhang, X. X., Wang, J. L., Huang, Y. L., & Ren, S. Y. (2017). Passivity analysis of multi-weighted complex dynamical networks with fixed and switching topologies.  2017 36th Chinese control conference, Dalin (pp. 7695–7700).
   Google Scholar
• Zheng, S. (2017). Pinning and impulsive synchronization control of complex dynamical networks with non-derivative and derivative coupling. Journal of the Franklin Institute, 354, 6341–6363. doi: 10.1016/j.jfranklin.2017.07.041
   Web of Science ®Google Scholar
• Zhou, Y., & Sun, C. (2015). Fixed time synchronization of complex dynamical networks. Proceedings of the 2015 Chinese intelligent automation conference, Berlin (pp. 163–170).
   Google Scholar
• Zhu, Y., Luo, X., Li, S., & Guan, X. (2012). Exponential synchronization of complex dynamical systems with delay and derivative coupling via impulse. Proceedings of the 10th world congress on intelligent control and automation, Beijing (pp. 875–880).
   Google Scholar