| 一类具有逐段常变量神经网络系统概周期解存在性与指数稳定性 |
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| 引用本文： | 杨喜陶.一类具有逐段常变量神经网络系统概周期解存在性与指数稳定性[J].应用数学学报,2006,29(5):789-800. |
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| 作者姓名： | 杨喜陶 |
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| 作者单位： | 湖南科技大学数学系,湘潭,411201 |
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| 摘 要： | 利用Halanay不等式,我们得到了一类具有逐段常变量神经网络系统解全局指数稳定的一个充分条件;此外,在同样条件下,通过不动点定理,证明了这类概周期系统概周期解的存在唯一性与模包含关系．
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| 关 键 词： | 逐段常变量 概周期解 神经网络系统 全局指数稳定性 |
| 收稿时间： | 2004-07-19 |
| 修稿时间： | 2004-07-192006-04-11 |
Existence and Exponential Stability of Almost Periodic Solution for Cellular Neural Networks with Piecewise Constant Argument |
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| YANG XITAO.Existence and Exponential Stability of Almost Periodic Solution for Cellular Neural Networks with Piecewise Constant Argument[J].Acta Mathematicae Applicatae Sinica,2006,29(5):789-800. |
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| Authors: | YANG XITAO |
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| Institution: | Department of Mathematics, Hunan University of science and technology, Xiangtan 411201 |
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| Abstract: | For the cellular neural networks with piecewise constant argument, a sufficient conditions is obtained for the networks to be global exponential stability by using Halanaytype inequalities. Moreover, the unique existence and the module containment of almost periodic solution for this kind of almost periodic system is proved under the same conditions by employing the fixed point theorem. |
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| Keywords: | Piecewise constant argument almost periodic solutions neural networks global exponential stability |
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