期刊
APPLIED MATHEMATICAL MODELLING
卷 32, 期 11, 页码 2347-2359出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2007.09.002
关键词
neural network; global stability; matrix inequality; impulse
In this paper, a new concept called alpha-inverse Lipschitz function is introduced. Based on the topological degree theory and Lyapunov functional method, we investigate global convergence for a novel class of neural networks with impulses where the neuron activations belong to the class of alpha-inverse Lipschitz functions. Some sufficient conditions are derived which ensure the existence, and global exponential stability of the equilibrium point of neural networks. Furthermore, we give two results which are used to check the stability of uncertain neural networks. Finally, two numerical examples are given to demonstrate the effectiveness of results obtained in this paper. (C) 2007 Elsevier Inc. All rights reserved.
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