Abstract
This paper deals with the synchronization of chaotic delayed neural networks via sampled-data feedback control with multiple stochastic sampling periods, whose occurrence probabilities are given constants. For the simplicity of technical development, the case with two stochastic sampling periods is considered. By means of the input-delay approach to sampled-data systems, the synchronization error system is represented as a stochastic continuous time system with multiple delays. A mean-square asymptotic stability condition for the synchronization error system is derived via a discretised Lyapunov-Krasovskii function method. The sampled-data feedback controller design is formulated via linear matrix inequalities based convex optimization problems, which can be efficiently solved via standard numerical software. A numerical example illustrates the efficiency of the proposed method.
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References
Barajas-Ramirez, J.G., Chen, G., Shieh, L.S.: Fuzzy chaos synchronization via sampled driving signals. Int. J. Bifurc. Chaos 14, 2721–2733 (2004)
Fridman, E., Seuret, A., Richard, J.P.: Robust sampled-data stabilization of linear systems: an input delay approach. Automatica 40, 1441–1446 (2004)
Gao, H.J., Wu, J.L., Peng, S.: Robust sampled-data H  ∞  control with stochastic sampling. Automatica 45, 1729–1736 (2009)
Gu, K., Kharitonov, V., Chen, J.: Stability of time-delay systems. Springer, Berlin (2003)
Lu, J.G., Hill, D.J.: Global asymptotical synchronization of chaotic Lur’e systems using sampled data: a linear matrix inequality approach. IEEE Trans. Circuits Syst. II, Exp. Briefs 55, 586–590 (2008)
Mikheev, Y., Sobolev, V., Fridman, E.: Asymptotic analysis of digital control systems. Automat. Remote Control 49, 1175–1180 (1988)
Yang, T., Chua, L.O.: Control of chaos using sampled-data feedback control. Int. J. Bifurc. Chaos 8, 2433–2438 (1998)
Zhang, C.K., He, Y., Wu, M.: Improved global asymptotical synchronization of chaotic Lur’e systems with sampled-data control. IEEE Trans. Circuits Syst. II, Exp. Briefs 56, 320–324 (2009)
Zhang, Y., Yue, D., Tian, E.: Synchronization control of stochastic delayed neural networks communicating with unreliable links. In: Proc. Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, China, pp. 6756–6761 (2009)
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Chen, Y., Zhang, X., Shi, G., Zhang, Z., Ma, W. (2012). Synchronization of Chaotic Delayed Neural Networks via Sampled-Data Feedback Control with Stochastic Sampling. In: Qian, Z., Cao, L., Su, W., Wang, T., Yang, H. (eds) Recent Advances in Computer Science and Information Engineering. Lecture Notes in Electrical Engineering, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25778-0_32
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DOI: https://doi.org/10.1007/978-3-642-25778-0_32
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