期刊论文详细信息
Abstract and Applied Analysis
Finite-Time Synchronizing Control for Chaotic Neural Networks
Research Article
Jing Wang1  Qiang Guo1  Chao Zhang1 
[1] National Engineering Research Center of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083, China, ustb.edu.cn
Others  :  1320962
DOI  :  10.1155/2014/938612
 received in 2014-04-11, accepted in 2014-06-04,  发布年份 2014
PDF
【 摘 要 】

This paper addresses the finite-time synchronizing problem for a class of chaotic neural networks. In a real communication network, parameters of the master system may be time-varying and the system may be perturbed by external disturbances. A simple high-gain observer is designed to track all the nonlinearities, unknown system functions, and disturbances. Then, a dynamic active compensatory controller is proposed and by using the singular perturbation theory, the control method can guarantee the finite-time stability of the error system between the master system and the slave system. Finally, two illustrative examples are provided to show the effectiveness and applicability of the proposed scheme.

【 授权许可】

CC BY   
Copyright © 2014 Chao Zhang et al. 2014

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【 参考文献 】
  • [1]S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares. et al.(2002). The synchronization of chaotic systems. Physics Reports.366(1-2):1-101. DOI: 10.1016/S0370-1573(02)00137-0.
  • [2]G. Kolumbán, M. P. Kennedy, L. O. Chua. (1997). The role of synchronization in digital communications using chaos. I. Fundamentals of digital communications. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications.44(10):927-936. DOI: 10.1016/S0370-1573(02)00137-0.
  • [3]L. M. Pecora, T. L. Carroll. (1990). Synchronization in chaotic systems. Physical Review Letters.64(8):821-824. DOI: 10.1016/S0370-1573(02)00137-0.
  • [4]J. Hu, S. Chen, L. Chen. (2005). Adaptive control for anti-synchronization of Chua's chaotic system. Physics Letters A: General, Atomic and Solid State Physics.339(6):455-460. DOI: 10.1016/S0370-1573(02)00137-0.
  • [5]Q.-L. Han. (2007). On designing time-varying delay feedback controllers for master-slave synchronization of Lur'e systems. IEEE Transactions on Circuits and Systems I: Regular Papers.54(7):1573-1583. DOI: 10.1016/S0370-1573(02)00137-0.
  • [6]F.-H. Hsiao. (2013). Delay-dependent exponential optimal synchronization for nonidentical chaotic systems via neural-network-based approach. Abstract and Applied Analysis.2013-16. DOI: 10.1016/S0370-1573(02)00137-0.
  • [7]J. Sun. (2004). Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control. Chaos, Solitons & Fractals.21(1):143-150. DOI: 10.1016/S0370-1573(02)00137-0.
  • [8]M. Gupta, L. Jin, N. Homma. (2004). Static and Dynamic Neural Networks: From Fundamentals to Advanced Theory. DOI: 10.1016/S0370-1573(02)00137-0.
  • [9]F. Zou, J. A. Nossek. (1993). Bifurcation and chaos in cellular neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications.40(3):166-173. DOI: 10.1016/S0370-1573(02)00137-0.
  • [10]M. Gilli. (1993). Strange attractors in delayed cellular neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications.40(11):849-853. DOI: 10.1016/S0370-1573(02)00137-0.
  • [11]T. Chen, W. Lu, G. Chen. (2005). Dynamical behaviors of a large class of general delayed neural networks. Neural Computation.17(4):949-968. DOI: 10.1016/S0370-1573(02)00137-0.
  • [12]J. Zhou, T. Chen, L. Xiang. (2006). Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos, Solitons and Fractals.27(4):905-913. DOI: 10.1016/S0370-1573(02)00137-0.
  • [13]C.-J. Cheng, T.-L. Liao, C.-C. Hwang. (2005). Exponential synchronization of a class of chaotic neural networks. Chaos, Solitons & Fractals.24(1):197-206. DOI: 10.1016/S0370-1573(02)00137-0.
  • [14]J. Cao, J. Lu. (2006). Adaptive synchronization of neural networks with or without time-varying delay. Chaos.16(1). DOI: 10.1016/S0370-1573(02)00137-0.
  • [15]B. Cui, X. Lou. (2009). Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control. Chaos, Solitons and Fractals.39(1):288-294. DOI: 10.1016/S0370-1573(02)00137-0.
  • [16]H. Zhang, Y. Xie, Z. Wang, C. Zheng. et al.(2007). Adaptive synchronization between two different chaotic neural networks with time delay. IEEE Transactions on Neural Networks.18(6):1841-1845. DOI: 10.1016/S0370-1573(02)00137-0.
  • [17]W. He, J. Cao. (2008). Adaptive synchronization of a class of chaotic neural networks with known or unknown parameters. Physics Letters A: General, Atomic and Solid State Physics.372(4):408-416. DOI: 10.1016/S0370-1573(02)00137-0.
  • [18]Q. Gan. (2012). Exponential synchronization of stochastic Cohen-Grossberg neural networks with mixed time-varying delays and reaction-diffusion via periodically intermittent control. Neural Networks.31:12-21. DOI: 10.1016/S0370-1573(02)00137-0.
  • [19]D. S. Goshi, K. M. K. H. Leong, T. Itoh. (2005). A secure high-speed retrodirective communication link. IEEE Transactions on Microwave Theory and Techniques.53(11):3548-3556. DOI: 10.1016/S0370-1573(02)00137-0.
  • [20]B. Shen, Z. Wang, X. Liu. (2012). Sampled-data synchronization control of dynamical networks with stochastic sampling. IEEE Transactions on Automatic Control.57(10):2644-2650. DOI: 10.1016/S0370-1573(02)00137-0.
  • [21]Z.-G. Wu, J. H. Park. (2013). Synchronization of discrete-time neural networks with time delays subject to missing data. Neurocomputing.122:418-424. DOI: 10.1016/S0370-1573(02)00137-0.
  • [22]H. Dong, Z. Wang, H. Gao. (2013). Distributed H filtering for a class of markovian jump nonlinear time-delay systems over lossy sensor networks. IEEE Transactions on Industrial Electronics.60(10):4665-4672. DOI: 10.1016/S0370-1573(02)00137-0.
  • [23]Z. Wang, H. Dong, B. Shen, H. Gao. et al.(2013). Finite-horizon filtering with missing measurements and quantization effects. IEEE Transactions on Automatic Control.58(7):1707-1718. DOI: 10.1016/S0370-1573(02)00137-0.
  • [24]Y. Liu, Z. Wang, J. Liang, X. Liu. et al.(2012). Synchronization of coupled neutral-type neural networks with jumping-mode-dependent discrete and unbounded distributed delays. IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics.43(1):102-114. DOI: 10.1016/S0370-1573(02)00137-0.
  • [25]Y. Sun, J. Cao. (2007). Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. Physics Letters A: General, Atomic and Solid State Physics.364(3-4):277-285. DOI: 10.1016/S0370-1573(02)00137-0.
  • [26]Y. Sun, J. Cao, Z. Wang. (2007). Exponential synchronization of stochastic perturbed chaotic delayed neural networks. Neurocomputing.70(13–15):2477-2485. DOI: 10.1016/S0370-1573(02)00137-0.
  • [27]S. C. Jeong, D. H. Ji, J. H. Park, S. C. Won. et al.(2013). Adaptive synchronization for uncertain chaotic neural networks with mixed time delays using fuzzy disturbance observer. Applied Mathematics and Computation.219(11):5984-5995. DOI: 10.1016/S0370-1573(02)00137-0.
  • [28]X. Li, C. Ding, Q. Zhu. (2010). Synchronization of stochastic perturbed chaotic neural networks with mixed delays. Journal of the Franklin Institute: Engineering and Applied Mathematics.347(7):1266-1280. DOI: 10.1016/S0370-1573(02)00137-0.
  • [29]Q. Ma, S. Xu, Y. Zou, G. Shi. et al.(2011). Synchronization of stochastic chaotic neural networks with reaction-diffusion terms. Nonlinear Dynamics.67(3):2183-2196. DOI: 10.1016/S0370-1573(02)00137-0.
  • [30]V. Parra-Vega, S. Arimoto, Y.-H. Liu, G. Hirzinger. et al.(2003). Dynamic sliding PID control for tracking of robot manipulators: theory and experiments. IEEE Transactions on Robotics and Automation.19(6):967-976. DOI: 10.1016/S0370-1573(02)00137-0.
  • [31]J.-L. Zhao, J. Wang, W. Wei. (2012). Cascade control with active compensation for a class of uncertain nonlinear system. Journal of University of Science and Technology Beijing.34(3):355-361. DOI: 10.1016/S0370-1573(02)00137-0.
  • [32]J. Alvarez-Ramírez, R. Suarez, A. Morales. (2000). Cascade control for a class of uncertain nonlinear systems: a backstepping approach. Chemical Engineering Science.55(16):3209-3221. DOI: 10.1016/S0370-1573(02)00137-0.
  • [33]C. Zhang, J. Wang, Q. Guo, L. Zhao. et al.Synchronization of uncertain perturbed chaotic neural network using tracking differential observer. . DOI: 10.1016/S0370-1573(02)00137-0.
  • [34]H. K. Khalil, L. Praly. (2014). High-gain observers in nonlinear feedback control. International Journal of Robust and Nonlinear Control.24(6):993-1015. DOI: 10.1016/S0370-1573(02)00137-0.
  • [35]H. K. Khalil, J. W. Grizzle. (2002). Nonlinear Systems.3. DOI: 10.1016/S0370-1573(02)00137-0.
  • [36]A. Bacciotti, L. Rosier. (2006). Liapunov Functions and Stability in Control Theory. DOI: 10.1016/S0370-1573(02)00137-0.
  • [37]Y. Zhang, Q.-L. Han. (2013). Network-based synchronization of delayed neural networks. IEEE Transactions on Circuits and Systems I: Regular Papers.60(3):676-689. DOI: 10.1016/S0370-1573(02)00137-0.
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