Keywords: complex networks; outer synchronization; finite-time; adaptive feedback controllers
@article{10_14736_kyb_2015_4_0655,
author = {Wu, Jie and Sun, Yong-zheng and Zhao, Dong-hua},
title = {Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures},
journal = {Kybernetika},
pages = {655--666},
year = {2015},
volume = {51},
number = {4},
doi = {10.14736/kyb-2015-4-0655},
mrnumber = {3423192},
zbl = {06530336},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-4-0655/}
}
TY - JOUR AU - Wu, Jie AU - Sun, Yong-zheng AU - Zhao, Dong-hua TI - Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures JO - Kybernetika PY - 2015 SP - 655 EP - 666 VL - 51 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-4-0655/ DO - 10.14736/kyb-2015-4-0655 LA - en ID - 10_14736_kyb_2015_4_0655 ER -
%0 Journal Article %A Wu, Jie %A Sun, Yong-zheng %A Zhao, Dong-hua %T Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures %J Kybernetika %D 2015 %P 655-666 %V 51 %N 4 %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-4-0655/ %R 10.14736/kyb-2015-4-0655 %G en %F 10_14736_kyb_2015_4_0655
Wu, Jie; Sun, Yong-zheng; Zhao, Dong-hua. Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures. Kybernetika, Tome 51 (2015) no. 4, pp. 655-666. doi: 10.14736/kyb-2015-4-0655
[1] An, X. L., Zhang, L., Li, Y. Z., Zhang, J. G.: Synchronization analysis of complex networks with multi-weights and its application in public traffic network. Physica A: Statist. Mech. Appl. 412 (2014), 149-156. | DOI | MR
[2] Aghababa, M. P., Aghababa, H. P.: A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs. Nonlinear Dyn. 69 (2012), 1903-1914. | DOI | MR | Zbl
[3] Aghababa, M. P., Aghababa, H. P.: Adaptive finite-time synchronization of non-autonomous chaotic systems with uncertainty. J. Comput. Nonlin. Dyn. 8 (2013), 031006. | DOI
[4] Chen, D. Y., Zhang, R. F., Liu, X. Z., Ma, X. Y.: Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks. Commun. Nonlinear Sci. Numer. Simul. 19 (2014), 4105-4121. | DOI | MR
[5] Dimassi, H., Loría, A., Belghith, S.: A new secured transmission scheme based on chaotic synchronization via smooth adaptive unknown-input observers. Commun. Nonlinear Sci. Numer. Simul. 17 (2012), 3727-3739. | DOI | Zbl
[6] Genesio, R., Tesi, A.: Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems. Automatica 28 (1992), 531-548. | DOI | Zbl
[7] Guirey, E., Bees, M. A., Martin, A., Srokosz, M.: Persistence of cluster synchronization under the influence of advection. Phys. Rev. E 81 (2010), 1511-1521. | DOI | MR
[8] He, P., Ma, S. H., Fan, T.: Finite-time mixed outer synchronization of complex networks with coupling time-varying delay. Chaos 22 (2012), 043151. | DOI | MR
[9] Huberman, B. A., Adamic, L. A.: Internet-Growth dynamics of the world-wide web. Nature 401 (1999), 6749, 131. | DOI
[10] Lasalle, J. P.: The extend of asymptotic stability. Proc. Natl. Acad. Sci. USA 46 (1960), 363-365. | DOI | MR
[11] Lasalle, J. P.: Some extensions of Liapunov's second method. IRE Trans. Circuit Theory 7 (1960), 520-527. | DOI | MR
[12] Li, C. G., Chen, G. R.: Synchronization of networks with coupling delays. Phys. A: Statist. Mech. Appl. 343 (2004), 263-278. | DOI
[13] Li, C. P., Sun, W. G., Kurths, J.: Synchronization between two coupled complex networks. Phys. Rev. E 76 (2007), 046204. | DOI
[14] Liao, T. L., Huang, N. S.: An observer-based approach for chaotic synchronization with applications to secure communications. IEEE Trans. Circuits Syst. I 46 (1999), 1144-1150. | DOI | Zbl
[15] Lü, J. H., Chen, G. R.: A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Automat. Control 50 (2005), 841-846. | DOI | MR
[16] Mei, J., Jiang, M. H., Xu, W. M., Wang, B.: Finite-time synchronization control of complex dynamical networks with time delay. Commun. Nonlinear Sci. Numer. Simul. 18 (2013), 2462-2478. | DOI | MR | Zbl
[17] Revayova, M., Torok, C.: Piecewise approximation and neural networks. Kybernetika 43 (2007), 547-559. | MR | Zbl
[18] Strogatz, S. H., Stewart, I.: Coupled oscillators and biological synchronization. Sci. Am. 269 (1993), 102-109. | DOI
[19] Sun, W., Chen, Z., Kang, Y. H.: Impulsive synchronization of a nonlinear coupled complex network with a delay node. Chin. Phys. B 21 (2012), 010504. | DOI
[20] Sun, W. G., Li, S. X.: Generalized outer synchronization between two uncertain dynamical networks. Nonlinear Dyn. 77 (2014), 481-489. | DOI | MR | Zbl
[21] Sun, Y. Z., Li, W., Ruan, J.: Finite-time generalized outer synchronization between two different complex networks. Commun. Theor. Phys. 58 (2012), 697-703. | DOI | MR | Zbl
[22] Sun, Y. Z., Li, W., Ruan, J.: Generalized outer synchronization between two complex dynamical networks with time delay and noise perturbation. Commun. Nonlinear Sci. Numer. Simul. 18 (2013), 989-998. | DOI | MR
[23] Sun, Y. Z., Li, W., Zhao, D. H.: Finite-time stochastic outer synchronization between two complex dynamical networks with different topologies. Chaos 22 (2012), 023152. | DOI | MR
[24] Sun, W. G., Wu, Y. Q., Zhang, J. Y., Qin, S.: Inner and outer synchronization between two coupled networks with interactions. J. Franklin Inst. 352 (2015), 3166-3177. | DOI | MR
[25] Sun, W. G., Wang, S., Wang, G. H., Wu, Y. Q.: Lag synchronization via pinning control between two coupled networks. Nonlinear Dyn. 79 (2015), 2659-2666. | DOI | MR
[26] Tan, S. L., Lü, J. H., Yu, X. H., Hill, D. J.: Evolution and maintenance of cooperation via inheritance of neighborhood relationship. Chin. Sci. Bull. 58 (2013), 28 - 29, 3491-3498. | DOI
[27] Tan, S. L., Lü, J. H., Hill, D. J.: Towards a theoretical framework for analysis and intervention of random drift on general networks. IEEE Trans. Automat. Control 60 (2015), 2, 576-581. | DOI | MR
[28] Vincent, U. E., Guo, R.: Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller. Phys. Lett. A 375 (2011), 2322-2326. | DOI | MR
[29] Watts, D. J., Strogatz, S. H.: Collective dynamics of ‘small-world’ networks. Nature 393 (1998), 440-442. | DOI
[30] Wong, Y. C., Sundareshan, M. K.: A simplex trained neural network-based architecture for sensor fusion and tracking of target maneuvers. Kybernetika 35 (1999), 613-636. | MR | Zbl
[31] Wu, Z. Y., Fu, X. C.: Outer synchronization between drive-response networks with nonidentical nodes and unknown parameters. Nonlinear Dyn. 69 (2012), 685-692. | DOI | MR | Zbl
[32] Wu, Z. G., Park, J. H., Su, H. Y., Chu, J.: Discontinuous Lyapunov functional approach to synchronization of time-delay neural networks using sampled-data. Nonlinear Dyn. 69 (2012), 102-109. | DOI | MR | Zbl
[33] Wu, Z. Y., Ye, Q. L., Liu, D. F.: Finite-time synchronization of dynamical networks coupled with complex-variable chaotic systems. Int. J. Mod. Phys. C 24 (2013), 1350058. | DOI | MR
[34] Yang, X. S., Cao, J. D., Lu, J. Q.: Synchronization of delayed complex dynamical networks with impulsive and stochastic effects. Nonlinear Anal., Real World Appl. 12 (2011), 2252-2266. | DOI | MR | Zbl
[35] Yang, X., Wu, Z. Y., Cao, J. D.: Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Nonlinear Dyn. 73 (2013), 2313-2327. | DOI | MR | Zbl
[36] Zheng, C., Cao, J. D.: Finite-time synchronization of the singular hybrid coupled networks. J. Appl. Math. 2013 (2013), 378376. | DOI | MR
[37] Zhong, W. S., Stefanovski, J. D., Dimirovski, G. M., Zhao, J.: Decentralized control and synchronization of time-varying complex dynamical network. Kybernetika 45 (2009), 151-167. | MR | Zbl
[38] Zhou, J., Lu, J. A., Lü, J. H.: Adaptive synchronization of an uncertain complex dynamical network. IEEE Trans. Automat. Control 51 (2006), 4, 652-656. | DOI | MR
[39] Zhou, J., Lu, J. A., Lü, J. H.: Pinning adaptive synchronization of a general complex dynamical network. Automatica 44 (2008), 4, 996-1003. | DOI | MR | Zbl
Cité par Sources :