Abstract
In this paper, we investigate the exponential synchronization of coupled stochastic and switched neural networks (CSSNNs) with mixed time-varying delays. By exerting impulsive controller to the considered dynamical systems in each switching interval, and combining the multiple Lyapunov theory, we obtain a class of sufficient exponential synchronization criteria in terms of nonlinear equations and LMIs, which are easy to check. A simple example is presented to show the application of the criteria obtained in this paper.
This work was supported by the National Natural Science Foundation of China under grant 61272530, the Natural Science Foundation of Jiangsu Province of China under grant BK2012741, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20130092110017, the JSPS Innovation Program under Grant CXZZ13\(_{-}\)00, and the Natural Science Foundation of the Jiangsu Higher Education Institutions under Grant 14KJB110019.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
References
Chen, G.R., Zhou, J., Liu, Z.R.: Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Int. J. Bifurcat. Chaos 14, 2229–2240 (2004)
Chang, C.L., Fan, K.W., Chung, I.F., Lin, C.H.: A recurrent fuzzy coupled cellular neural network system with automatic structure and template learning. IEEE Trans. Circuits Syst. Express Briefs 53, 602–606 (2006)
Liang, J.L., Wang, Z.D., Liu, Y.Y., Liu, X.H.: Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans. Neural Netw. 19, 1910–1921 (2008)
Wu, W., Chen, T.P.: Global synchronization criteria of linearly coupled neural network systems with time-varying coupling. IEEE Trans. Neural Netw. 19, 319–332 (2008)
Cao, J.D., Chen, G.R., Li, P.: Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Trans. Syst. Man Cybern B 38(2), 488–498 (2008)
Yang, X.S., Cao, J.D., Long, Y., Rui, W.G.: Adaptive lag synchronization for competitive neural networks with mixed delays and uncertain hybrid perturbations. IEEE Trans. Neural Netw. 21, 1656–1667 (2010)
Wu, Z.G., Shi, P., Su, H., Chu, J.: Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling. IEEE Trans. Neural Netw. Learn Syst. 23, 1368–1376 (2012)
Wang, G., Shen, Y.: Exponential synchronization of coupled memristive neural networks with time delays. Neural Comput. Appl. 24, 1421–1430 (2014)
Tang, Y., Fang, J.A., Miao, Q.Y.: Synchronization of stochastic delayed neural networks with Marokovian switching and its application. Int. J. Neural Syst. 19, 43–56 (2009)
Lu, J.Q., Ho, D.W.C., Cao, J.D., Kurths, J.: Exponential synchronization of linearly coupled neural networks with switching topology. IEEE Trans. Neural Netw. 22, 169–175 (2011)
Shi, G.D., Ma, Q.: Synchronization of stochastic Markovian jump neural networks with reaction-diffusion terms. Neurocomputing 77, 275–280 (2012)
Guan, Z.H., Hill, D.J., Shen, X.: On hybrid impulsive and switching systems and application to nonlinear control. IEEE Trans. Autom. Control 50, 1058–1062 (2005)
Li, C.D., Feng, G., Huang, T.: On hybrid impulsive and switching neural networks. IEEE Trans. Syst. Man Cybern B Cybern 38, 1549–1560 (2008)
Zhang, W.B., Tang, Y., Miao, Q.Y., Du, W.: Exponential synchronization of coupled switched neural networks with mode-dependent impulsive effects. IEEE Trans. Neural Netw. Learn Syst. 24, 1368–1376 (2013)
Wang, J.Y., Feng, J.W., Chen, X., Zhao, Y.: Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix. Nonlinear Dyn. 67, 1635–1646 (2012)
Haykin, S.: Neural Networks. Prentice-Hall, Englewood Cliffs (1994)
Cao, J.D., Liang, J.L., Lam, J.: Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 199, 425–436 (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Wang, Y., Cao, J. (2014). Exponential Synchronization of Coupled Stochastic and Switched Neural Networks with Impulsive Effects. In: Zeng, Z., Li, Y., King, I. (eds) Advances in Neural Networks – ISNN 2014. ISNN 2014. Lecture Notes in Computer Science(), vol 8866. Springer, Cham. https://doi.org/10.1007/978-3-319-12436-0_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-12436-0_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12435-3
Online ISBN: 978-3-319-12436-0
eBook Packages: Computer ScienceComputer Science (R0)