Global exponential stability of impulsive high-order Hopfield type neural networks with delays |
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| Authors: | Bingji Xu XiangLiu Kok Lay Teo |
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| Affiliation: | aSchool of Information Engineering, China University of Geosciences, 100083, Beijing, China;bInstitute of Education Research, Huazhong University of Science and Technology, 430074, Wuhan, China;cDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, W.A., 6845, Australia |
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| Abstract: | ![]()
In this paper, we investigate the global exponential stability of impulsive high-order Hopfield type neural networks with delays. By establishing the impulsive delay differential inequalities and using the Lyapunov method, two sufficient conditions that guarantee global exponential stability of these networks are given, and the exponential convergence rate is also obtained. A numerical example is given to demonstrate the validity of the results. |
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| Keywords: | Impulsive high-order Hopfield type neural networks Exponential stability Lyapunov function Delay |
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