| 线性时滞系统时滞独立稳定的充分条件 |
| |
| 引用本文： | 段广仁,刘湘黔.线性时滞系统时滞独立稳定的充分条件[J].控制与决策,1996,11(3):420-424. |
| |
| 作者姓名： | 段广仁 刘湘黔 |
| |
| 作者单位： | 哈尔滨工业大学控制工程系 |
| |
| 摘 要： | 利用Lyapunov稳定性理论，通过一个推广的Lyapunov矩阵方程得出时滞独立稳定的充分条件，基于这个充分条件建立了几个判定线性时滞系统稳定性的简单判据，并推导出系统具有任意指定收敛速度指数稳定的充分条件。计算例子说明了所得结果的有效性。
|
| 关 键 词： | 线性时滞系统 判定系统 线性系统 稳定性 |
Sufficient Conditions for Stability Linear Systems with Time-delays |
| |
| Duan Guangrern, Liu Xiangqian.Sufficient Conditions for Stability Linear Systems with Time-delays[J].Control and Decision,1996,11(3):420-424. |
| |
| Authors: | Duan Guangrern Liu Xiangqian |
| |
| Affiliation: | Harbin Institute of Technology |
| |
| Abstract: | Utilizing the Lyapunov stability theory, a sufficient condition in terms of a generalized Lyapunov matrix equation, for delay-independent stability of linear systems with delays is presented. Based on this rcondition, some simple creterions fo stability of linear delay systems are obtained and sufficient conditions for exponential stability with specified decay rate for linear delay systems are also derived. Some examples show the effect of the obtained results. |
| |
| Keywords: | linear delay systems delay-independent stability Lyapunov approach generalized Lyapunov matrix equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
