具混合时滞中立型随机神经网络均方渐近稳定性
李亚军;邓飞其
【期刊名称】《数学的实践与认识》 【年(卷),期】2013(043)009
【摘要】The problem of robust stability of neutral stochastic neural network system with mixed time-delays and nonlinearity is considered.The uncertainties under consideration are norm-bounded and the mixed time delays comprise both discrete delay and distributed delay.Based on Lyapunov-Krasovskii functional and the stochastic stability analysis method,by means of It(o)'s formula,the sufficient condition which making the system robust stable is provided and proved in the form of LMIs.Numerical example is given to illustrate the effectiveness of the proposed method.%研究了一类具有混合时滞和非线性干扰中立型不确定随机神经网络鲁棒稳定性,所考虑的不确定为范数有界,混合时滞由离散和分布时滞组成,借助李雅普诺夫函数和随机稳定性理论,利用伊藤公式,给出并证明了使系统鲁棒稳定的充分条件,所有结果以线性矩阵不等式的形式给出,数值算例表明了所给方法的有效性. 【总页数】10页(237-246)
【关键词】均方渐近稳定;中立随机神经网络;范数有界不确定;时滞;线性矩阵不等式
【作者】李亚军;邓飞其
【作者单位】顺德职业技术学院电子与信息工程系,广东佛山528300;华南理工
具混合时滞中立型随机神经网络均方渐近稳定性
