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A New Criterion on Exponential Stability of a Class of Discrete Cellular Neural Networks with Time Delay

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Advances in Natural Computation (ICNC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3610))

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Abstract

A new criterion on exponential stability of the equilibrium point for a class of discrete cellular neural networks (CNNs) with delay is established by Lyapunov-Krasovskii function methods. The obtained result shows a relation between the delayed time and the corresponding parameters of the network. A numerical example is given to illustrate the efficiency of the proposed approach.

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References

  1. Chua, L.O., Yang, L.: Cellular neural networks: Theory. IEEE Trans. Circuits Syst. I 35, 1257–1272 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  2. Roska, T., Chua, L.O.: Cellular neural networks with nonlinear and delay-type template. Int. J. Circuit Theory Appl. 20, 469–481 (1992)

    Article  MATH  Google Scholar 

  3. Arik, S., Tavsanoglu, V.: Equilibrium analysis of delayed CNNs. IEEE Trans. Circuits Syst. I 45, 168–171 (1998)

    Article  MathSciNet  Google Scholar 

  4. Forti, M., Tesi, A.: New conditions for global stability of neural networks with applocation to linear and quadratic programming problems. IEEE Trans. Circuits Syst. I 42, 354–366 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  5. Cao, J.: Global stability conditions for delayed CNNs. IEEE Trans. Circuits Syst. I 48, 1330–1333 (2001)

    Article  MATH  Google Scholar 

  6. Liao, X., Chen, G., Sanchez, E.N.: LMI-based approach for asymptotically stability analysis of delayed neural networks. IEEE Trans. Circuits Syst. I 49, 1033–1039 (2002)

    Article  MathSciNet  Google Scholar 

  7. Chu, T., Wang, Z., Wang, L.: Exponential convergence estimates for neural networks with multiple delays. IEEE Trans. Circuits and Syst. I 49, 1829–1832 (2002)

    Article  MathSciNet  Google Scholar 

  8. Liang, J., Gupta, M.M.: Globally asymptotical stability of discrete-time analog neural networks. IEEE Transactions on Neural Networks 7, 1024–1031 (1996)

    Article  Google Scholar 

  9. Michel, A.N., Si, J., Yen, G.: Analysis and synthesis of discrete-time neural networks described on hypercubes. IEEE Transactions on Neural Networks 2, 32–46 (1991)

    Article  Google Scholar 

  10. Chu, T.: Convergence in discrete-time neural networks with specific performance. Phys. Rev. E 63, 0519041 (2001)

    Article  Google Scholar 

  11. Mohamad, S., Gopalsamy, K.: Dynamics of a class of discrete-time neural networks and their continuous-time counterparts. Math. Comput. Simulation 53, 1–39 (2000)

    Article  MathSciNet  Google Scholar 

  12. Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V.: Linear matrix inequalities in system and control theory. SIAM, Philadelphia (1994)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. The Seventh Research Division, Beijing University of Aeronautics and Astronautics, Beijing, 100083, PR China

    Fei Hao

  2. Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, PR China

    Long Wang & Tianguang Chu

Authors
  1. Fei Hao
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  2. Long Wang
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  3. Tianguang Chu
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. School of Software, Sun Yat-Sen University, 510275, Guangzhou, China

    Ke Chen

  3. School of Computer Engineering, Nanyang Technological University, BLK N4, 2b-39, Nanyang Avenue, 639798, Singapore

    Yew Soon Ong

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© 2005 Springer-Verlag Berlin Heidelberg

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Hao, F., Wang, L., Chu, T. (2005). A New Criterion on Exponential Stability of a Class of Discrete Cellular Neural Networks with Time Delay. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539087_101

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  • DOI: https://doi.org/10.1007/11539087_101

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28323-2

  • Online ISBN: 978-3-540-31853-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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