Abstract
The orthogonal function neural network is utilized to realize the general H ∞ synchronization of chaotic systems with different structures. The driving system and the reference system are both disturbed by the external perturbation. Continuous controller is utilized to realize the general H ∞ synchronization of chaotic systems according to nonlinear H ∞ control theory. Lorenz system and Rössler system are utilized to simulate to illustrate the performance of the proposed method. The simulation results can show the validity of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Edgar, N.S., Luis, J.R.: Chaos Control and Synchronization with Input Saturation Via Recurrent Neural Networks. Neural Networks 16, 711–717 (2003)
Shahverdiev, E.M., Sivaprakasam, S., Shore, K.A.: Lag Synchronization in Time-Delayed Systems. Physics Letter A 292(6), 320–324 (2002)
Tan, W., Wang, Y.N., Liu, Z.R., Zhou, S.W.: Neural Network Control for Nonlinear Chaotic Motion. Acta Physica Sinica 51(11), 2463–2466 (2002)
Guan, X.P., Tang, Y.G., Fan, Z.P., Wang, Y.Q.: Neural Nerwork based Robust Adaptive Synchronization of a Chaotic System (in Chinese). Acta Phys. Sin. 50(11), 2112–2115 (2001)
Chen, C.S., Tseng, C.S.: Performance Comparison between the Training Method and the Numerical Method of the Orthogonal Neural Network in Function Approximation. International journal of intelligent systems 19, 1257–1275 (2004)
Wang, H.W., Gu, H.: Synchronization of Chaotic System with the Perturbation Via Orthogonal Function Neural Network. In: Wang, J., Yi, Z., Zurada, J.M., Lu, B.-L., Yin, H. (eds.) ISNN 2006. LNCS, vol. 3971, pp. 322–327. Springer, Heidelberg (2006)
He, H.L., Wang, Z.S., Liao, X.X.: Stability Analysis of Uncertain Neural Networks with Linear and Nonlinear Time Delays. In: Wang, J., Liao, X.-F., Yi, Z. (eds.) ISNN 2005. LNCS, vol. 3496, pp. 199–202. Springer, Heidelberg (2005)
Wang, Z.S., He, H.L., Liao, X.X.: Stability Analysis of Uncertain Neural Networks with Delay. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol. 3173, pp. 44–48. Springer, Heidelberg (2004)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Zhang, W., Wu, X. (2007). General H ∞ Synchronization of Chaotic Systems Via Orthogonal Function Neural Network. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_49
Download citation
DOI: https://doi.org/10.1007/978-3-540-74171-8_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74170-1
Online ISBN: 978-3-540-74171-8
eBook Packages: Computer ScienceComputer Science (R0)