KI 2005: KI 2005: Advances in Artificial Intelligence pp 216-221 | Cite as
New Stability Results for Delayed Neural Networks
Conference paper
Abstract
By constructing suitable Lyapunov functionals and combing with matrix inequality technique, some new sufficient conditions are presented for the global asymptotic stability of delayed neural networks. These conditions contain and improve some of the previous results in the earlier references.
Preview
Unable to display preview. Download preview PDF.
References
- 1.Zhang, Q., Ma, R., Xu, J.: Stability of Cellular Neural Networks with Delay. Electron. Lett. 37, 575–576 (2001)CrossRefGoogle Scholar
- 2.Zhang, Q., Ma, R., Chao, W., Jin, X.: On the Global Stability of Delayed Neural Networks. IEEE Trans. Automatic Control 48, 794–797 (2003)CrossRefGoogle Scholar
- 3.Zhang, Q., Wei, X.P., Xu, J.: Global Asymptotic Stability of Hopfield Neural Networks with Transmission Delays. Phys. Lett. A 318, 399–405 (2003)MATHCrossRefMathSciNetGoogle Scholar
- 4.Chua, L.O., Yang, L.: Cellular Neural Networks: Theory and Applications. IEEE Trans. Circuits Syst. I 35, 1257–1290 (1988)MATHCrossRefMathSciNetGoogle Scholar
- 5.Arik, S.: Stability Analysis of Delayed Neural Networks. IEEE Trans. Circuits Syst. I 47, 1089–1092 (2000)MATHCrossRefMathSciNetGoogle Scholar
- 6.Arik, S.: An Improved Global Stability Result for Delayed Cellular Neural Networks. IEEE Trans. Circuits Syst. I 49, 1211–1214 (2002)CrossRefMathSciNetGoogle Scholar
- 7.Arik, S.: On the Global Asymptotic Stability of Delayed Cellular Neural Networks. IEEE Trans. Circuits Syst. I 47, 571–574 (2000)MATHCrossRefMathSciNetGoogle Scholar
- 8.Arik, S.: An Analysis of Global Asymptotic Stability of Delayed Cellular Neural Networks. IEEE Trans. Neural Networks 13, 1239–1242 (2002)CrossRefGoogle Scholar
- 9.Liao, T.L., Wang, F.C.: Global Stability for Cellular Neural Networks with Time Delay. IEEE Trans. Neural Networks 11, 1481–1484 (2000)CrossRefGoogle Scholar
- 10.Cao, J.: Global Stability Conditions for Delayed CNNs. IEEE Trans. Circuits Syst. I 48, 1330–1333 (2001)MATHCrossRefGoogle Scholar
- 11.Roska, T., Wu, C.W., Balsi, M., Chua, L.O.: Stability and Dynamics of Delay-Type General and Cellular Neural Networks. IEEE Trans. Circuits Syst. 39, 487–490 (1992)MATHCrossRefGoogle Scholar
- 12.Zhang, J., Jin, X.: Global Stability Analysis in Delayed Hopfiled Neural Network Models. Neural Networks 13, 745–753 (2000)CrossRefGoogle Scholar
- 13.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)CrossRefMathSciNetGoogle Scholar
- 14.Arik, S.: Global Asymptotic Stability of A Larger Class of Neural Networks with Constant Time Delay. Phys. Lett. A 311, 504–511 (2003)MATHCrossRefGoogle Scholar
- 15.Liao, X., Wong, K.W., Yang, S.: Stability Analysis for Delayed Cellular Neural Networks Based on Linear Matrix Inequality Approach. International Journal of Bifurcation and Chaos 14, 3377–3384 (2004)MATHCrossRefMathSciNetGoogle Scholar
- 16.Singh, V.: A Generalized LMI-Based Approach to the Global Asymptotic Stability of Delayed Cellular Neural Networks. IEEE Trans. Neural Networks 15, 223–225 (2004)CrossRefGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2005