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Finite-time synchronization of complex networks with partial communication channels failure. (English) Zbl 1536.93762

Summary: This paper addresses the finite-time synchronization problem of complex networks under a new communication constraint. The situation that some communication channels used to transmit sub-information between two nodes may fail is considered, which causes the receiving node to be unable to obtain complete state information. Moreover, due to less information transmission between nodes, the analysis of finite-time synchronization problem becomes more difficult. Therefore, several questions naturally arise here: Under this communication restriction, how to remodel the complex network, and can the network achieve finite-time synchronization? To better solve these questions, the complex network model with partial communication channels failure is established first. Then, based on the finite-time stability theory and state layered method, two finite-time synchronization criteria for complex networks are provided. Finally, the effectiveness of obtained results are verified by numerical simulations.

MSC:

93D40 Finite-time stability
93B70 Networked control
Full Text: DOI

References:

[1] Chen, G., Problems and challenges in control theory under complex dynamical network environments, Phys. A, Stat. Mech. Appl., 39, 4, 312-321 (2013)
[2] Zhang, Y.-Q.; Li, X.; Xu, J.; Vasilakos, A. V., Human interactive patterns in temporal networks, IEEE Trans. Syst. Man Cybern. Syst., 45, 2, 214-222 (2015)
[3] Wang, Y.; Wei, Z.; Cao, J., Epidemic dynamics of influenza-like diseases spreading in complex networks, Nonlinear Dyn., 101, 3, 1801-1820 (2020) · Zbl 1517.92045
[4] Zhang, Y.-Q.; Li, X.; Vasilakos, A. V., Spectral analysis of epidemic thresholds of temporal networks, IEEE Trans. Cybern., 50, 5, 1965-1977 (2020)
[5] She, B.; Mehta, S.; Ton, C.; Kan, Z., Energy-related controllability of signed complex networks with laplacian dynamics, IEEE Trans. Autom. Control, 66, 7, 3325-3330 (2021) · Zbl 1467.93144
[6] Kurths, J.; Maraun, D.; Zhou, C.; Zamora-Lopez, G.; Zou, Y., Dynamics in complex network systems, Eur. Rev., 17, 2, 357-370 (2009)
[7] Xing, W.; Shi, P.; Agarwal, R. K.; Zhao, Y., A survey on global pinning synchronization of complex networks, J. Franklin Inst., 356, 6, 3590-3611 (2019) · Zbl 1411.93021
[8] Yang, T.; Niu, Y.; Yu, J., Clock synchronization in wireless sensor networks based on bayesian estimation, IEEE Access, 8, 69683-69694 (2020)
[9] Zhu, S.; Zhou, J.; Yu, X.; Lu, J., Bounded synchronization of heterogeneous complex dynamical networks: a unified approach, IEEE Trans. Autom. Control, 66, 4, 1756-1762 (2021) · Zbl 1536.93845
[10] Wu, M.; Xiong, N.; Vasilakos, A. V.; Leung, V. C.M.; Chen, C. L.P., RNN-K: a reinforced newton method for consensus-based distributed optimization and control over multiagent systems, IEEE Trans. Cybern., 52, 5, 4012-4026 (2022)
[11] Korneev, I. A.; Semenov, V. V.; Slepnev, A. V.; Vadivasova, T. E., Complete synchronization of chaos in systems with nonlinear inertial coupling, Chaos Solitons Fractals, 142, 110459 (2021) · Zbl 1486.34099
[12] Banerjee, R.; Grosu, I.; Dana, S. K., Antisynchronization of two complex dynamical networks, Complex Sci., 4, 1072-1082 (2009)
[13] Li, W.; Zhao, L.; Shi, H.; Zhao, D.; Sun, Y., Realizing generalized outer synchronization of complex dynamical networks with stochastically adaptive coupling, Math. Comput. Simul., 187, 379-390 (2021) · Zbl 1540.93003
[14] Zhao, L.; Wang, J., Lag H-infinity synchronization and lag synchronization for multiple derivative coupled complex networks, Neurocomputing, 384, 46-56 (2020)
[15] Sun, Z.; Si, L.; Shang, Z.; Lei, J., Finite-time synchronization of chaotic pmsm systems for secure communication and parameters identification, Optik, 157, 43-55 (2018)
[16] Wu, Q.; Zhang, H.; Xu, L.; Yan, Q., Finite-time synchronization of general complex dynamical networks, Asian J. Control, 17, 5, 1643-1653 (2015) · Zbl 1333.93031
[17] Chen, C.; Li, L.; Peng, H.; Yang, Y.; Mi, L.; Zhao, H., A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks, Neural Netw., 123, 412-419 (2020) · Zbl 1443.93128
[18] Sun, Y., A finite-time synchronization scheme for complex networks, Chem. Eng. Trans., 51, 787-792 (2016)
[19] Huang, Y.; Wu, F., Finite-time passivity and synchronization of coupled complex-valued memristive neural networks, Inf. Sci., 580, 775-800 (2021) · Zbl 07786228
[20] Kumar, R.; Kumar, U.; Das, S.; Qiu, J.; Lu, J., Effects of heterogeneous impulses on synchronization of complex-valued neural networks with mixed time-varying delays, Inf. Sci., 551, 228-244 (2021) · Zbl 1485.93271
[21] Yang, X.; Cao, J., Finite-time stochastic synchronization of complex networks, Appl. Math. Model., 34, 11, 3631-3641 (2010) · Zbl 1201.37118
[22] Liu, X.; Ho, D. W.C.; Song, Q.; Xu, W., Finite/fixed-time pinning synchronization of complex networks with stochastic disturbances, IEEE Trans. Cybern., 49, 6, 2398-2403 (2019)
[23] Shi, Y.; Cao, J., Finite-time synchronization of memristive cohen-grossberg neural networks with time delays, Neurcomputing, 377, 159-169 (2020)
[24] Duan, L.; Li, J., Fixed-time synchronization of fuzzy neutral-type BAM memristive inertial neural networks with proportional delays, Inf. Sci., 576, 522-541 (2021) · Zbl 1528.34058
[25] Zhang, C.; Wang, X.; Unar, S.; Wang, Y., Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays, Physica A, 528, Article 120985 pp. (2019) · Zbl 1532.93012
[26] Yang, B.; Wang, X.; Fang, J.; Xu, Y., The impact of coupling function on finite-time synchronization dynamics of multi-weighted complex networks with switching topology, Complexity, Article 7276152 pp. (2019) · Zbl 1421.93008
[27] Guo, Y.; Chen, B.; Wu, Y., Finite-time synchronization of stochastic multi-links dynamical networks with markovian switching topologies, J. Franklin Inst., 387, 1, 359-384 (2020) · Zbl 1429.93403
[28] Yang, X.; Ho, D. W.C.; Lu, J.; Song, Q., Finite-time cluster synchronization of t-s fuzzy complex networks with discontinuous subsystems and random coupling delays, IEEE Trans. Fuzzy Syst., 23, 6, 2302-2316 (2015)
[29] Zhang, W.; Li, C.; He, X.; Li, H., Finite-time synchronization of complex networks with non-identical nodes and impulsive disturbances, Mod. Phys. Lett. B, 32, 1 (2018)
[30] Zhou, C.; Zemanová, L.; Zamora-Lopez, G.; Hilgetag, C.; Kurths, J., Structure-function relationship in complex brain networks expressed by hierarchical synchronization, New J. Phys., 7, 178 (2007)
[31] Xia, P.; Zhou, S.; Giannakis, G., Adaptive MIMO-OFDM based on partial channel state information, IEEE Trans. Signal Process., 52, 1, 202-213 (2004) · Zbl 1369.94503
[32] Huang, C.; Ho, D.; Lu, J., Partial-information-based distributed filtering in two-targets tracking sensor networks, IEEE Trans. Circuits Syst. I, Regul. Pap., 59, 4, 820-832 (2012) · Zbl 1468.93168
[33] Huang, C.; Ho, D. W.C.; Lu, J.; Kurths, J., Partial synchronization in stochastic dynamical networks with switching communication channels, Chaos, 22, 023108 (2012) · Zbl 1331.34107
[34] Huang, C.; Ho, D.; Lu, J., Partial-information-based synchronization analysis for complex dynamical networks, J. Franklin Inst., 352, 3458-3475 (2015) · Zbl 1395.93090
[35] Li, L.; Liu, X.; Huang, W., Event-based bipartite multi-agent consensus with partial information transmission and communication delays under antagonistic interactions, Sci. China Inf. Sci., 63, 150204, 1-13 (2020)
[36] Godsil, G. R.C., Graduate Texts in Mathematics: Algebraic Graph Theory, vol. 207 (2001), Springer-Verlag: Springer-Verlag New York · Zbl 0968.05002
[37] Bhat, S.; Bernstein, D., Finite-time stability of continuous autonomous systems, SIAM J. Control Optim., 38, 3, 751-766 (2000) · Zbl 0945.34039
[38] Chen, Y.; Lü, J., Finite time synchronization of complex dynamical networks, J. Syst. Sci. Math. Sci., 29, 10, 1419-1430 (2009) · Zbl 1212.93008
[39] Shen, Y.; Xia, X., Semi-global finite-time observers for nonlinear systems, Automatica, 44, 12, 3152-3156 (2008) · Zbl 1153.93332
[40] Khalil, H.; Grizzle, J., Nonlinear Systems (2002), Prentice-Hall: Prentice-Hall Upper Saddle River, NJ, USA · Zbl 1003.34002
[41] Wang, Q.; Wang, J.-L., Finite-time output synchronization of undirected and directed coupled neural networks with output coupling, IEEE Trans. Neural Netw. Learn. Syst., 32, 5, 2117-2128 (2021)
[42] Qiu, Q.; Su, H., Finite-time output synchronization for output-coupled reaction-diffusion neural networks with directed topology, IEEE Trans. Netw. Sci. Eng., 9, 3, 1386-1394 (2022)
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