| 具有加性时变时滞神经网络的稳定性分析 |
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| 作者单位： | ;1.云南民族大学数学与计算机科学学院;2.南京理工大学理学院;3.南京航空航天大学理学院 |
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| 摘 要： | 讨论了具有加性时变时滞的神经网络模型的稳定性,得到了新的稳定性判据.在构造包含三重积分项的新Lyapunov泛函的基础上,利用新的不等式,采用时滞分割方法,并结合其他分析技巧,得到了保守性较低的线性矩阵不等式稳定性条件.最后,通过2个数值实例,验证了方法的有效性和结果的优越性.
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| 关 键 词： | 加性时变时滞 神经网络 全局渐近稳定性 Lyapunov泛函 |
Stability analysis of neural networks with additive time-varying delay components |
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| Institution: | ,School of Mathematics and Computer Science,Yunnan Minzu University,School of Science,Nanjing University of Science and Technology,College of Sciences,Nanjing University of Aeronautics |
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| Abstract: | In this paper,the stability of neural networks with additive time-varying delay components is discussed and some new stability criteria are obtained. On the basis of constructing a new Lyapunov functional with three integral terms,using new inequalities,delay-partitioning technique,combined with other analytical techniques,the stability conditions of the linear matrix inequalities with a lower conservatism are obtained. Finally,two numerical examples are given to verify the effectiveness of the proposed method and the superiority of the results. |
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| Keywords: | additive time-varying delay neural networks globally asymptotically stable Lyapunov-Krasovski functional |
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