摘要
首先讨论了同时具有离散时滞和分布时滞的神经网络系统即广义神经网络系统平衡点的存在性,然后通过构造Lyapunov-Kra-sovskii泛函并利用线性矩阵不等式的方法将系统的稳定性问题转化为凸优化问题,建立了系统全局渐近稳定的充分条件。该充分条件可利用标准的MatlabLMI工具箱来验证和求解。
This paper is devoted to the stability analysis of generalized delayed neural network with mixed discrete and distributed delays. We first prove the existence and uniqueness of the equilibrium point under mild conditions. Then, by employing the Lyapunov -Krasovskii function, the addressed stability analysis problem is converted into a convex optimization problem, and a linear matrix inequality （LMI） approach is utilized to establish the sufficient condition for the globally asymptotic stability. This condition can be readily checked by utilizing the Matlab LMI Toolbox.
出处
《淮阴工学院学报》
CAS
2005年第5期1-5,71,共6页
Journal of Huaiyin Institute of Technology
关键词
神经网络
线性矩阵不等式
稳定性
neural network
linear matrix inequality
stability
