Criteria for Exponential Stability of Cohen-Grossberg Neural Networks with Multiple Time-Varying Delays

1. Chen, T.P., Rong, L.B.: Delay-independent Stability Analysis of Cohen-Grossberg Neural Networks. Physics Letters A 317, 436–449 (2003)

   Article  MATH  MathSciNet  Google Scholar 

2. Cohen, M.A., Grossberg, S.: Absolute Stability and Global Pattern Formation and Partial Memory Storage by Competitive Neural Networks. IEEE Transactions on Systems, Man and Cybernetics SMC-13, 815–826 (1983)

   MathSciNet  Google Scholar 

3. Driver, R.D.: Ordinary and Delay Differential Equations. Springer, New York (1977)

   MATH  Google Scholar 

4. van den Driessche, P., Zou, X.: Global Attractivity in Delayed Hopfield Neural Network Models. SIAM J. Appl. Math. 58, 1878–1890 (1998)

   Article  MATH  MathSciNet  Google Scholar 

5. Gopalsamy, K., He, X.Z.: Stability in Asymmetric Hopfield Nets with Transmission Delays. Physica D 76, 344–358 (1994)

   Article  MATH  MathSciNet  Google Scholar 

6. Grossberg, S.: Nonlinear Neural Networks: Principles, Mechanisms, and Architectures. Neural Networks 1, 17–61 (1988)

   Article  Google Scholar 

7. Hwang, C.C., Cheng, C.J., Liao, T.L.: Globally Exponential Stability of Generalized Cohen-Grossberg Neural Networks with Delays. Physics Letters A 319(1-2), 157–166 (2003)

   Article  MATH  Google Scholar 

8. Jiang, L.: Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays. Chaos, Solitons and Fractals 26, 935–945 (2005)

   Article  MATH  MathSciNet  Google Scholar 

9. Liao, X.F., Li, C.G., Wong, K.W.: Criteria for Exponential Stability of Cohen-Grossberg Neural Networks. Neural Networks 17, 1401–1414 (2004)

   Article  MATH  Google Scholar 

10. Morita, M.: Associative Memory with Non-monotone Dynamics. Neural Networks 6(1), 115–126 (1993)

    Article  Google Scholar 

11. Peng, J.G., Qiao, H., Xu, Z.B.: A New Approach to Stability of Neural Networks with Time-varying Delays. Neural Networks 15, 95–103 (2002)

    Article  Google Scholar 

12. Tank, D.W., Hopfield, J.J.: Simple “Neural” Optimization Networks: An A/D Converter, Signal Decision Circuit, and a Linear Programming Circuit. IEEE Transactions on Circuits and Systems 33(5), 533–541 (1986)

    Article  Google Scholar 

13. Wan, A.H., Mao, W.H., Qiao, H., Zhang, B.: Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Multiple Discrete Delays. In: Huang, D.-S., Heutte, L., Loog, M. (eds.) ICIC 2007. LNCS (LNAI), vol. 4682, pp. 47–58. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

14. Wang, L., Zou, X.F.: Exponential Stability of Cohen-Grossberg Neural Networks. Neural Networks 15, 415–422 (2002)

    Article  Google Scholar 

15. Wang, L., Zou, X.F.: Harmless Delays in Cohen-Grossberg Neural Network. Physica D 170(2), 162–173 (2002)

    Article  MATH  MathSciNet  Google Scholar 

16. Wu, W., Cui, B.T., Lou, X.: Some Criteria for Asymptotic Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays. Neurocomputing 70(4-6), 1085–1088 (2007)

    Google Scholar 

17. Ye, H., Michel, A.N., Wang, K.: Qualitative Analysis of Cohen-Grossberg Neural Networks with Multiple Delays. Physics Review E 51, 2611–2618 (1995)

    Article  MathSciNet  Google Scholar 

18. Zhang, Y., Tan, K.K.: Dynamic Stability for Lotka-Volterra Recurrent Neural Networks with Delays. Physical Review E 66, 011910 (2002)

    Article  MathSciNet  Google Scholar 

19. Zhou, D.M., Cao, J.D.: Globally Exponential Stability Conditions for Cellular Neural Networks with Time-Varying Delays. Applied Mathematics and Computation 131(2-3), 487–496 (2002)

    Article  MATH  MathSciNet  Google Scholar 

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