| 一类多轴突非自治神经网络的全局指数稳定性分析 |
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| 引用本文： | 毛凯,时宝. 一类多轴突非自治神经网络的全局指数稳定性分析[J]. 烟台大学学报(自然科学与工程版), 2013, 26(1): 21-27 |
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| 作者姓名： | 毛凯 时宝 |
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| 作者单位： | 海军航空工程学院系统科学与数学研究所,山东烟台,264001 |
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| 摘 要： | 在激励函数全局Lipschitz连续的条件下,通过构造恰当的Lyapunov泛函并结合不等式技巧研究了一类具有时变时滞,以及同时具有时变时滞和无穷分布时滞的多轴突非自治神经网络的全局指数稳定性.得到一系列系统全局指数稳定的充分条件,并举例验证了方法的有效性,推广了相关文献的结果.
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| 关 键 词： | 非自治神经网络 多轴突 Lyapunov泛函 不等式 全局指数稳定性 |
Analysis on the Global Exponential Stability of Multi-axons Non-Autonomous Neural Networks with Time-Varying Delays |
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| MAO Kai , SHI Bao. Analysis on the Global Exponential Stability of Multi-axons Non-Autonomous Neural Networks with Time-Varying Delays[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2013, 26(1): 21-27 |
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| Authors: | MAO Kai SHI Bao |
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| Affiliation: | 1. Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautieally University, Yantai 264001, China) |
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| Abstract: | Based on the condition that the activation functions are globally Lipschitz continuous, by constructing a suitable Lyapunov function and combining with inequality technique, the global exponential stability of muhi-axons non-autonomous neural networks with time-varying delays, as well as with both time-varying and infinite distributed delays is studied in this paper. As an extension of the previous findings, a set of sufficient conditions for guarantee- ing the global exponential stability are obtained. Examples are given to illustrate the effectiveness of the result. |
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| Keywords: | non-autonomous neural networks multi-axons Lyapunov function inequality global exponential sta- bility |
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