Abstract
This paper focuses on the issue of exponential stability for delayed neural networks with time-varying delays. A further result associated with this issue is exploited by employing a new Lyapunov-Krasovskii functional together with linear matrix inequality technique. Moreover, an approach to estimate the degree of exponential convergence is formulated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Yuce, E., Arik, S.: New Exponential Stability Results for Delayed Neural Networks with Time Varying Delays. Physica D 191, 314–322 (2004)
Liao, X.F., Chen, G., Sanchez, E.N.: Delay-dependent Exponential Stability Analysis of Delayed Neural Networks: an LMI Approach. Neural Networks 15, 855–866 (2002)
Zeng, Z., Wang, J., Liao, X.: Global Exponential Stability of a General Class of Recurrent Neural Networks with Time-varying Delays. IEEE Trans. Circuits and Systems-I 50, 1353–1358 (2003)
Liao, X.X., Wang, J.: Algebraic Criteria for Global Exponential Stability of Cellular Neural Networks With Multiple Time Delays. IEEE Trans. Circuits and Systems -I 50, 268–274 (2003)
Boyd, S., Ghaoui, L., Feron, E., Balakrishnan, V.: Linear Matrix Inequality in Systems and Control Theory. SIAM, Philadelphia (1994)
Liao, X.F., Wong, K.-W., Wu, Z.: Asymptotic Stability Criteria for a Two-neuron Network with Different Time Delays. IEEE Trans. Neural Networks 14, 222–227 (2003)
Liao, X.F., Chen, G., Sanchez, E.N.: LMI-based Approach for Asymptotically Stability Analysis of Delayed Neural Networks. Neural Networks 49, 1033–1039 (2001)
Liao, X.F., Wong, K.-W., Wu, Z., Chen, G.: Novel Robust Stability Criteria for Intervaldelayed Hopfield Neural Networks. IEEE Trans. Circuits and Systems.I 48, 1355–1359 (2001)
Liao, X.F., Wong, K.-W., Yu, J.: Stability Switches and Bifurcation Analysis of a Neural Network with Continuously Delay. IEEE TSMC-A 29, 692–696 (1999)
Liao, X.F., Yu, J.: Robust stability for Interval Hopfield Neural Networks with Time Delay. IEEE Trans. Neural Networks 9, 1042–1045 (1998)
Cao, J., Wang, L.: Exponential Sstability and Periodic Oscillatory Solution in Bam Networks with Delays. IEEE Trans. Neural Networks 13, 457–463 (2002)
Li, C., Liao, X., Zhang, R.: Global Robust Asymptotical Stability of Multi-delayed Interval Neural Networks: an LMI Approach. Physics Letters A 328, 452–462 (2004)
Li, C., Liao, X.: New Algebraic Conditions for Global Exponential Stability of Delayed Recurrent Neural Networks. Neurocomputing 64C, 319–333 (2005)
Li, C., Liao, X.: Delay-dependent Exponential Stability Analysis of Bidirectional Associative Memory Neural Networks: an LMI Approach. Chaos, Solitons & Fractals 24, 1119–1134 (2005)
Liao, X., Li, C.: An LMI Approach to Asymptotical Stability of Multidelayed Neural Networks. Physica D 200, 139–155 (2005)
Sun, C., Feng, C.-B.: Exponential Periodicity and Stability of Delayed Neural Networks. Mathematics and Computers in Simulation 66, 469–478 (2004)
Sun, C., Feng, C.-B.: Discrete-time Analogues of Integrodifferential Equations Modeling Neural Networks. Physics Letters A 334, 180–191 (2005)
Sun, C., Zhang, K., Fei, S., Feng, C.-B.: On Exponential Stability of Delayed Neural Networks with A General Class of Activation Functions. Physics Letters A 298, 122–132 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, J., Liao, X., Li, C., Lu, A. (2005). A Further Result for Exponential Stability of Neural Networks with Time-Varying Delays. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_18
Download citation
DOI: https://doi.org/10.1007/11427391_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25912-1
Online ISBN: 978-3-540-32065-4
eBook Packages: Computer ScienceComputer Science (R0)