Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays
Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays
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DOI：
10.1016/j.neucom.2005.04.006
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发表时间：
2006
期刊：
影响因子：
6
通讯作者：
Hongyong Zhao
中科院分区：
文献类型：
--
作者：
Hongyong Zhao
本文考虑时滞双向联想记忆(BAM)神经网络。通过使用不等式[公式：见文本](BM+1⩾0，bk⩾0，qk>；0 With 1+∑k=1mqk=r，k=1，…，m)，应用同伦映射和构造一个新的Lyapunov泛函方法，给出了一些新的判据来保证系统的全局指数稳定性和周期振荡解的存在性。这些结果有助于设计时滞BAM神经网络的全局指数稳定性和周期振动性。
In this paper, bidirectional associative memory (BAM) neural network with delays is considered. By employing the inequality [Formula: see text] (bm+1⩾0,bk⩾0,qk>0 with 1+∑k=1mqk=r,k=1,…,m), applying homotopic mapping and constructing a new Lyapunov functional method, we present some new criteria ensuring globally exponential stability and the existence of periodic oscillatory solution. These results are helpful to design globally exponential stability and periodic oscillatory for BAM neural network with delays.