Abstract
Robust stability analysis of a class of Cohen-Grossberg neural networks with multiple delays is given. An approach combining the Lyapunov functional with the linear matrix inequality (LMI) is taken to obtain the sufficient condition for the globally robust stability of equilibrium point. The result is established without assuming the differentiability and monotonicity of activation functions.
Keywords
- Equilibrium Point
- Linear Matrix Inequality
- Exponential Stability
- Robust Stability
- Cellular Neural Network
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References
Chen, T.P., Rong, L.B.: Delay-Independent Stability Analysis of Cohen-Grossberg Neural Networks. Physics Letters A 317, 436–449 (2003)
Hwang, C.C., Cheng, C.J., Liao, T.L.: Globally Exponential Stability of Generalized Cohen-Grossberg Neural Networks with Delays. Physics Letters A 319, 157–166 (2003)
Ji, C., Zhang, H.G., Guan, H.X.: Analysis for Global Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol. 3173, pp. 96–101. Springer, Heidelberg (2004)
Singh, V.: Robust Stability of Cellular Neural Networks with Delay: Linear Matrix Inequality Approach. IEE Proc.-Control Theory Appl. 151(1), 125–129 (2004)
Michel, A.N., Wang, K., Hu, B.: Qualitative Theory of Dynamical Systems–The Role of Stability Preserving Mappings, 2nd edn. Marcel Dekker, New York (2001)
Boyd, S., El Ghaoui, L., Feron, E.: Linear Matrix Inequalities in System and Control Theory. Studies in Applied Mathematics. SIAM, Philadelphia (1994)
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© 2006 Springer-Verlag Berlin Heidelberg
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Ji, C., Zhang, HG., Song, CH. (2006). LMI Approach to Robust Stability Analysis of Cohen-Grossberg Neural Networks with Multiple Delays. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759966_30
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DOI: https://doi.org/10.1007/11759966_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34439-1
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