几类时滞非线性哈密顿系统的稳定性分析(英文)

被引:3
作者
孙炜伟
王玉振
机构
[1] 山东大学控制科学与工程学院
关键词
时滞哈密顿系统; 鲁棒稳定性; 充分条件; 不确定性; 时滞非线性系统;
D O I
暂无
中图分类号
O231.2 [非线性控制系统];
学科分类号
摘要
研究了带有时滞的哈密顿系统的稳定性问题。针对几类时滞哈密顿系统,根据Lyapunov函数法并结合哈密顿系统的内在结构性质,提出一些稳定性的充分条件。考虑了哈密顿函数中带有时滞的系统的鲁棒稳定性问题,在此基础上通过哈密顿实现研究了一类时滞非线性系统的稳定性。讨论了一类不确定时滞哈密顿系统的稳定性,这类系统的结构矩阵含有属于某些凸有界多项域的时不变不确定性。给出了几个数值例子,通过例子研究表明,所提出的结果对于分析时滞非线性系统的稳定性是非常有效的。
引用
收藏
页码:1 / 9
页数:9
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