| 切换线性时滞系统的稳定性 |
| |
| 引用本文： | 张丽娜,刘玉忠.切换线性时滞系统的稳定性[J].沈阳师范大学学报(自然科学版),2010,28(1):17-20. |
| |
| 作者姓名： | 张丽娜 刘玉忠 |
| |
| 作者单位： | 沈阳师范大学,数学与系统科学学院,辽宁,沈阳,110034 |
| |
| 基金项目： | 辽宁省高等学校科学研究项目 |
| |
| 摘 要： | 研究了具有时滞的线性切换系统的稳定性问题。根据李雅普诺夫第二方法,找到适合讨论本文线性时滞系统的李雅普诺夫函数,然后对李雅普诺夫函数求导后的部分等式的处理采用了矩阵分解的方法,把矩阵分解为2个任意矩阵相乘的形式,这里主要采用的是矩阵的满秩分解,这样做的目的是便于运算,从而得到系统稳定的充分条件。同时给出了切换线性时滞系统切换律的设计,文中的判定条件与时滞无关,但切换律与时滞有关。利用MATLAB中线性矩阵不等式LMI工具箱求解,得到使得文中所讨论切换线性时滞系统稳定的解矩阵。最后通过数值算例验证了本文结果的可行性、正确性和有效性。
|
| 关 键 词： | 切换线性系统 时滞 渐近稳定 线性矩阵不等式（LMI） |
Stability for Switched Linear Systems with Time-delay |
| |
| ZHANG Li-na,LIU Yu-zhong.Stability for Switched Linear Systems with Time-delay[J].Journal of Shenyang Normal University: Nat Sci Ed,2010,28(1):17-20. |
| |
| Authors: | ZHANG Li-na LIU Yu-zhong |
| |
| Institution: | ZHANG Li-na,LIU Yu-zhong(School of Mathematics , System Science,Shenyang Normal University,Shenyang 110034,China) |
| |
| Abstract: | In this paper,the stability problem for a class of switched linear systems with time-delay is considered.Based on the Lyapunov second method,construct a suitable Lyapunov function for the discussion switched linear systems with time-delay,then Lyapunov function derivative part of the discussion systems are treated by using matrix decomposition method,where the matrix is decomposed into multipling by the form of two arbitrary matrices,and here the full rank matrix decomposition is mainly used aim-ing is to f... |
| |
| Keywords: | switched linear systems time delay asymptotic stability linear matrix inequality(LMI) |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
