Abstract
This paper investigates the adaptive synchronization of nonlinear complex dynamical networks with time-delays and sampled-data by proposing a new adaptive strategy to coupling strengths and feedback gains. According to Lyapunov theorem, it is testified that the agents of sub-groups can converge those synchronous states respectively under some special conditions. In addition, some simulations are proposed to illustrate the theoretical results.
This work was supported in part by the National Natural Science Foundation of China Grant (No. 61773023), 2018 Beijing Education Commission Basic Science Research Expenses Project, “The-Great-Wall-Scholar” Candidate Training Plan of NCUT (XN070006), Construction Plan for Innovative Research Team of NCUT (XN018010), “Yu Xiu” Talents of NCUT.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Wang, S., Yao, H., Zheng, S., Xie, Y.: A novel criterion for cluster synchronization of complex dynamical networks with coupling time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 17(7), 2997–3004 (2012)
Liu, B., Su, H., Li, R., Sun, D., Hu, W.: Switching controllability of discrete-time multi-agent systems with multiple leaders and time-delays. Appl. Math. Comput. 228(9), 571–588 (2014)
Liu, B., Li, S., Wang, L.: Adaptive synchronization of two time-varying delay nonlinear coupled networks. In: Proceedings of the 33rd Chinese Control Conference, pp. 3800–3804. IEEE (2014)
Xu, Q., Zhuang, S., Zeng, Y., Xiao, J.: Decentralized adaptive strategies for synchronization of fractional-order complex networks. IEEE/CAA J. Autom. Sin. 4(3), 543–550 (2017)
Liu, B., Wang, X., Su, H., Zhou, H., Shi, Y., Li, R.: Adaptive synchronization of complex dynamical networks with time varying delays. Circuits Syst. Signal Process. 33(4), 1173–1188 (2014)
Du, L., Yang, Y., Lei, Y.: Synchronization in a fractional-order dynamic network with uncertain parameters using an adaptive control strategy. Appl. Math. Mech. (Engl. Ed.) 39(3), 353–364 (2018)
Liu, B., Wang, X.L., Gao, Y.P., Xie, G.M., Su, H.S.: Adaptive synchronization of complex dynamical networks governed by local Lipschitz nonlinearlity on switching topology. J. Appl. Math. 2013(1), 1–7 (2013)
Ding, D.W., Yan, J., Wang, N., Liang, D.: Adaptive synchronization of fractional order complex-variable dynamical networks via pinning control. Commun. Theor. Phys. 68(9), 366–374 (2017)
Gao, Y., Wang, L.: Consensus of multiple dynamic agents with sampled information. IET Control Theory Appl. 4(6), 945–956 (2010)
Gao, Y., Wang, L.: Sampled-data based consensus of continuous-time multi-agent systems with time-varying topology. IEEE Trans. Autom. Control 56(5), 1226–1231 (2011)
Li, M., Liu, B., Zhu, Y.Q.: Group synchronization of nonlinear complex dynamics networks with sampled date. Hindawi Publ. Corp. Math. Probl. Eng. 2014(6), 1–8 (2014)
Yu, Y.J., Yu, M., Hu, J.P., Liu, B.: Group consensus of multi agent systems with sampled data. In: Proceedings of the 32nd Chinese Control Conference, pp. 7168–7172. IEEE (2013)
Liu, B., Wei, P.E., Wang, X.F.: Group synchronization of complex network with nonlinear dynamics via pinning control. In: Proceedings of the 32nd Chinese Control Conference, pp. 235–240. IEEE (2013)
Yu, J., Wang, L.: Group consensus of multi-agent systems with directed information exchange. Int. J. Syst. Sci. 43(2), 334–348 (2012)
Tang, Z., Huang, T., Shao, J., Hu, J.: Consensus of second-order multi-agent systems with nonuniform time-varying delays. Neurocomputing 97(1), 410–414 (2012)
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Bai, J., Xu, N., Ping, Y., Lu, X. (2020). Adaptive Synchronization of Nonlinear Complex Dynamical Networks with Time-Delays and Sampled-Data. In: Pan, L., Liang, J., Qu, B. (eds) Bio-inspired Computing: Theories and Applications. BIC-TA 2019. Communications in Computer and Information Science, vol 1160. Springer, Singapore. https://doi.org/10.1007/978-981-15-3415-7_4
Download citation
DOI: https://doi.org/10.1007/978-981-15-3415-7_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-3414-0
Online ISBN: 978-981-15-3415-7
eBook Packages: Computer ScienceComputer Science (R0)