Abstract
In this paper,we presented a new stability concept for neural networks: almost stability. The necessary and sufficient conditions of almost stability of the Hopfield-type neural networks were proposed. Examples were also given to our conditions.
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
Liu, Y., Wang, Z., Liu, X.: Asymptotic stability for neural networks with mixed time-delays: The discrete-time case. Neural Networks 22, 67–74 (2009)
Zhang, X.-M., Han, Q.-L.: New Lyapunov-Krasovski functionals for global asymptotic stability of delayed neural networks. IEEE T. Automat. Contr. 20(2), 533–539 (2009)
Qiao, H., Peng, J., Xu, Z.: Nonlinear measures: a new approach to exponential stability analysis for Hopfield-type neural networks. IEEE T. Neural Networ. 12(2), 360–370 (2001)
Mak, K.L., Peng, J.G., Xu, Z.B., Yiu, K.F.C.: A new stability criterion for discrete-time neural networks: Noniear spectral radius. Chaos Soliton Fract. 31, 424-436-1190 (2007)
Rantzer, A.: A dual to Lyapunov’s stability theorem. Syst. Control Lett. 42(3), 161–168 (2001)
Prajna, S., Parrilo, P.A., Rantzer, A.: Nonlinear control synthesis by convex optimization, IEEE T. Automat. Contr. 49(2), 117–128 (2004)
Vaidya, U., Mehta, P.G.: Lyapunov measure for almost everywhere stability. IEEE T. Automat. Contr. 30(1), 307–323 (2008)
Monzon, P., Potrje, R.: Local implication of almost global stability. Dynam. Syst. 24(1), 109–115 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, K. (2012). A New Approach in Stability Analysis of Hopfield-Type Neural Networks: Almost Stability. In: Jayne, C., Yue, S., Iliadis, L. (eds) Engineering Applications of Neural Networks. EANN 2012. Communications in Computer and Information Science, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32909-8_40
Download citation
DOI: https://doi.org/10.1007/978-3-642-32909-8_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32908-1
Online ISBN: 978-3-642-32909-8
eBook Packages: Computer ScienceComputer Science (R0)