Abstract
This paper considers the problems of global exponential stability and exponential convergence rate for impulsive Hopfield neural networks with time delays. By using the method of Lyapunov functions, M-matrix theory and inequality technique, some sufficient conditions for ensuring global exponential stability of these networks are derived, and the estimation for exponential convergence rate index is also obtained. As an illustration, an numerical example is worked out to show the effectiveness of the obtained results.
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**ng, T., Shi, M., Jiang, W., Zhang, N., Wang, T. (2009). Exponential Stability of Impulsive Hopfield Neural Networks with Time Delays. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_58
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DOI: https://doi.org/10.1007/978-3-642-01507-6_58
Publisher Name: Springer, Berlin, Heidelberg
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