摘要
针对一类含有不确定中立型的分布时滞系统,通过构造适当的Lyapunov-Krasovskii泛函,利用Lyapunov稳定性理论和线性矩阵不等式(LMI)方法进行了指数稳定性分析,得到一个含分布时滞系统指数稳定的充分条件.最后,通过仿真算例证明该方法的有效性.
For a class of distributed delay systems with uncertain neutral type,the proper Lyapunov-Krasovskii functional is constructed,the exponential stability is analyzed by using the stability theory and the linear matrix inequality(LMI)method,and the sufficient condition for exponential stability of a system with distributed delay are obtained.
作者
罗浩智
王汝凉
LUO Hao-zhi;WANG Ru-liang(School of Mathematics and Statistics,Nanning Normal University,Nanning 530023,China;College of Physics and Electronics,Nanning Normal University,Nanning 530023,China)
出处
《南宁师范大学学报（自然科学版）》
2019年第4期30-34,共5页
Journal of Nanning Normal University：Natural Science Edition
基金
广西自然科学基金(2015GXNSFAA139312)
