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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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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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