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Synchronization for a Class of Uncertain Chaotic Cellular Neural Networks with Time-Varying Delay

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Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

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Abstract

Synchronization problem of a class of chaotic cellular neural networks with time-varying delay and parameter uncertainties is probed in. Given the Lipschitz conditions, based on Lyapunov-Krasovskii functional method and the analysis of the bounded uncertainties, a kind of convenient linear controller is derived. It can be designed by only solving a linear matrix inequality and can lead the error system to be globally asymptotical stable. The simulation results indicate the super properties of the controller.

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References

  1. Hisashi, A., Tsuyoshi, O., Nobuaki, T., Mamoru, T.: Sigma-Delta Cellular Neural Network for 2D Modulation. Neural Networks 21(2-3), 349–357 (2008)

    Article  Google Scholar 

  2. Aomori, H., Naito, Y., Otake, T., Takahashi, N., Matsuda, I., Itoh, S., Tanaka, M.: Hardware-Aware Model of Sigma-Delta Cellular Neural Network. In: European Conference on Circuit Theory and Design, pp. 311–314. IEEE Press, New York (2009)

    Chapter  Google Scholar 

  3. Zeng, Z.G., Wang, J.: Associative Memories based on Continuous-Time Cellular Neural Networks Designed using Space-Invariant Cloning Templates. Neural Networks 22(5-6), 651–657 (2009)

    Article  Google Scholar 

  4. Mohammad, S.T., Mohammad, H.: Synchronization of Chaotic Fractional-Order Systems via Active Sliding Mode Controller. Physica A 387(1), 57–70 (2008)

    Article  Google Scholar 

  5. Cheng, C.K., Kuo, H.H., Hou, Y.Y., Hwang, C.C., Liao, T.L.: Robust Chaos Synchronization of Noise-Perturbed Chaotic Systems with Multiple Time-Delays. Physica A 387(13), 3093–3102 (2008)

    Article  Google Scholar 

  6. Yau, H.T., Shieh, C.S.: Chaos Synchronization using Fuzzy Logic Controller. Nonlinear Analysis: Real World Applications 9(4), 1800–1810 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  7. Lin, W.: Adaptive Chaos Control and Synchronization in only Locally Lipschitz Systems. Physics Letters A 372(18), 3195–3200 (2008)

    Article  MathSciNet  Google Scholar 

  8. Sato, D., Xie, L.H., Sovari, A.A., Tran, D.X., Morita, N., Xie, F.G., Karagueuzian, H., Garfinkel, A., Weiss, J.N., Qu, Z.L.: Chaos Synchronization in the Genesis of Cardiac Arrhythmias. Biophysical Journal 96(3), 666a (2009)

    Article  Google Scholar 

  9. Cheng, D.L., Huang, C.F., Cheng, S.Y., Yan, J.J.: Synchronization of Optical Chaos in Vertical-Cavity Surface-Emitting Lasers via Optimal PI Controller. Expert Systems with Applications 36(3), 6854–6858 (2009)

    Article  Google Scholar 

  10. Kaddoum, G., Roviras, D., Charg, P., Danile, F.P.: Robust Synchronization for Asynchronous Multi-User Chaos-based DS-CDMA. Signal Processing 89(5), 807–818 (2009)

    Article  MATH  Google Scholar 

  11. Li, X.C., Xu, W., Li, R.H.: Chaos Synchronization of the Energy Resource System. Chaos, Solitons & Fractals 40(2), 642–652 (2009)

    Article  Google Scholar 

  12. Wang, X.Y., Xu, B., Zhang, H.G.: A Multiary Number Communication System based on Hyperchaotic System of 6th-Order Cellular Neural Network. Communications in Nonlinear Science and Numerical Simulation 15(1), 124–133 (2010)

    Article  MathSciNet  Google Scholar 

  13. Wang, S., Cai, L., Kang, Q., Li, Q., Wu, G.: Secure Communication based on Tracking Control of Quantum Cellular Neural Network. In: Proceedings of the 7th World Congress on Intelligent Control and Automation, pp. 8059–8063. IEEE Press, Piscataway (2008)

    Chapter  Google Scholar 

  14. Chen, W.-H., Guan, Z.-H., Lu, X.-M., Yang, X.-F.: Delay-Dependent Absolute Stability of Uncertain Lur’e System with Time-Delays. Acta automatica sinica 30(2), 235–238 (2004)

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. College of Sciences, Naval University of Engineering, Wuhan, 430033, China

    Jianjun Tu & Hanlin He

Authors
  1. Jianjun Tu
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  2. Hanlin He
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

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© 2010 Springer-Verlag Berlin Heidelberg

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Tu, J., He, H. (2010). Synchronization for a Class of Uncertain Chaotic Cellular Neural Networks with Time-Varying Delay. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_69

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  • DOI: https://doi.org/10.1007/978-3-642-13278-0_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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