Stability analysis for neural networks with inverse Lipschitzian neuron activations and impulses |
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Authors: | Huaiqin Wu Xiaoping Xue |
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Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. Department of Mathematics, Yanshan University, Qinhuangdao 066001, China |
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Abstract: | In this paper, a new concept called α-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 α-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. |
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Keywords: | Neural network Global stability Matrix inequality Impulse |
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