Abstract
In this paper, the synchronization problem of complex networks using fuzzy-based impulsive control is discussed. Synchronization problem is considered for networks with switching topologies. Also, each node of the networks has a time-varying chaotic dynamic. Based on the Takagi–Sugeno fuzzy model, a new representation of a complex network is presented. Using impulsive control theory, a new controller for the synchronization of time-varying networks is designed. The synchronization problem has been extended for two different networks. Simulation examples show the effectiveness of the proposed method.
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Abdulateef, A.H., Bara, A.A., Rashid, A.N., Al-Ani, M.: A new evolutionary algorithm with locally assisted heuristic for complex detection in protein interaction networks. Appl. Soft Comput. 1(73), 1004–25 (2018)
Lu, J., Chen, G.: A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Autom. Control 50(6), 841–6 (2005)
Tang, J., Scellato, S., Musolesi, M., Mascolo, C., Latora, V.: Small-world behavior in time-varying graphs. Phys. Rev. E 81(5), 055101 (2010)
Er, M.J., Deng, C., Su, S.F., Wang, N.: Fuzzy synchronization control of complex dynamical networks Under network attacks and actuator faults. Int. J. Fuzzy Syst. 21(7), 2043–53 (2019)
Xu, W., Zhu, S., Fang, X., Wang, W.: Adaptive synchronization of memristor-based complex-valued neural networks with time delays. Neurocomputing 28(364), 119–28 (2019)
Jing, T., Chen, F., Li, Q.: Finite-time mixed outer synchronization of complex networks with time-varying delay and unknown parameters. Appl. Math. Modell. 39(23–24), 7734–43 (2015)
Zhang, J., Sun, J.: Exponential synchronization of complex networks with continuous dynamics and Boolean mechanism. Neurocomputing 13(307), 146–52 (2018)
Yuan, X., Li, J., Li, J.: Adaptive synchronization of unknown complex dynamical networks with derivative and distributed time-varying delay couplings. Int. J. Fuzzy Syst. 20(4), 1088–97 (2018)
Li, H.L., Cao, J., Jiang, H., Alsaedi, A.: Finite-time synchronization of fractional-order complex networks via hybrid feedback control. Neurocomputing 3(320), 69–75 (2018)
Ahmed, M.A., Liu, Y., Zhang, W., Alsaadi, F.E.: Exponential synchronization via pinning adaptive control for complex networks of networks with time delays. Neurocomputing 15(225), 198–204 (2017)
Zhang, Q., Zhao, J.: Projective and lag synchronization between general complex networks via impulsive control. Nonlinear Dyn. 67(4), 2519–25 (2012). https://doi.org/10.1007/s11071-011-0164-6
Brentari, M., Urbina, S., Arzelier, D., Louembet, C., Zaccarian, L.: A hybrid control framework for impulsive control of satellite rendezvous. IEEE Trans. Control Syst. Technol. 27(4), 1537–51 (2018)
Li, X., Song, S., Wu, J.: Impulsive control of unstable neural networks with unbounded time-varying delays. Sci. China Inf. Sci. 61(1), 012203 (2018)
Zhang, G., Liu, Z., Ma, Z.: Synchronization of complex dynamical networks via impulsive control. Chaos Interdiscip. J. Nonlinear Sci. 17(4), 043126 (2007)
Bagheri, A., Ozgoli, S.: Exponentially impulsive projective and lag synchronization between uncertain complex networks. Nonlinear Dyn. 84(4), 2043–55 (2016)
Cui, W., Fang, J.A., Zhang, W., Wang, X.: Finite-time cluster synchronisation of Markovian switching complex networks with stochastic perturbations. IET Control Theory Appl. 8(1), 30–41 (2014)
Liu, T., Zhao, J., Hill, D.J.: Exponential synchronization of complex delayed dynamical networks with switching topology. IEEE Trans. Circuits Syst. I Regul. Papers 57(11), 2967–80 (2010)
Zaidi, S., Kroll, A.: NOE TS fuzzy modelling of nonlinear dynamic systems with uncertainties using symbolic interval-valued data. Appl. Soft Comput. 1(57), 353–62 (2017)
Behinfaraz, R., Ghaemi, S., Khanmohammadi, S.: Risk assessment in control of fractional-order coronary artery system in the presence of external disturbance with different proposed controllers. Appl. Soft Comput. 1(77), 290–9 (2019)
Hosseinpour, M., Nikdel, P., Badamchizadeh, M.A., Akbari, M.A.: Modelling and control of flexible joint robot based on Takagi–Sugeno fuzzy approach and its stability analysis via sum of squares. Math. Comput. Modell. Dyn. Syst. 19(3), 250–62 (2013)
Chen, S., Lu, J.: Synchronization of an uncertain unified chaotic system via adaptive control. Chaos Solitons Fractals 14(4), 643–7 (2002)
Behinfaraz, R., Badamchizadeh, M.A.: Synchronization of different fractional order chaotic systems with time-varying parameter and orders. ISA Trans. 1(80), 399–410 (2018)
Leela, S., McRae, F.A., Sivasundaram, S.: Controllability of impulsive differential equations. J. Math. Anal. Appl. 177(1), 24–30 (1993)
Jin, Y., Zhong, S.: Function projective synchronization in complex networks with switching topology and stochastic effects. Appl. Math. Comput. 15(259), 730–40 (2015)
Hu, J., Zeng, C.: Adaptive exponential synchronization of complex-valued Cohen-Grossberg neural networks with known and unknown parameters. Neural Netw. 1(86), 90–101 (2017)
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Behinfaraz, R., Ghaemi, S., Khanmohammadi, S. et al. Fuzzy-Based Impulsive Synchronization of Different Complex Networks with Switching Topology and Time-Varying Dynamic. Int. J. Fuzzy Syst. 22, 2565–2576 (2020). https://doi.org/10.1007/s40815-020-00950-6
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DOI: https://doi.org/10.1007/s40815-020-00950-6