摘要
针对一类多重时滞细胞神经网络，利用Lyapunov稳定性理论方法进行指数稳定性分析，给出基于线性矩阵不等式（LMI）的指数稳定性定理．首先通过状态变换，得到该神经网络的等价模型．然后，构造出合适的Lyapunov泛函，并运用线性矩阵不等式理论方法，得到了多重时滞神经网络在常时滞和时变时滞两种情况下指数稳定的一系列充分条件．本文所提出的方法保守程度低，容易利用标准的Matlab-LMI工具来进行仿真验证，同时也适用于其它具有递归神经网络的稳定性分析．
The problem of exponential stability analysis for cellular neural networks with multiple delays is investigated using the Lyapunov stability theory, The equivalent model is obtained from the considered neural networks via certain model transformation, By constructing suitable Lyapunov functions, the sufficient conditions on the exponential stability of cellular neural networks with multiple constant and time-varying delays are developed. All the stable criteria in this paper are presented in terms of linear matrix inequality.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2006年第B07期46-50,共5页
Journal of Harbin Engineering University
