Abstract
In this paper, with assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the global exponential stability of the equilibrium point for a class of Cohen-Grossberg neural networks with time-varying delays and impulses is investigated, the sufficient conditions for globally exponential stability of neural networks are obtained.
This work was supported by the National Natural Science Foundation of China under Grants 50775075 and the State Key Laboratory Foundation under Grants VSN-2008-01.
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Yang, J., Ding, W., Yang, F., Liang, L., Hong, Q. (2010). Stability of Impulsive Cohen-Grossberg Neural Networks with Delays. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_71
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DOI: https://doi.org/10.1007/978-3-642-13278-0_71
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