| 一类二阶时滞微分方程在控制系统中的应用 |
| |
| 引用本文： | 张红雷.一类二阶时滞微分方程在控制系统中的应用[J].数学的实践与认识,2009,39(18). |
| |
| 作者姓名： | 张红雷 |
| |
| 作者单位： | 徐州工程学院,数学与物理科学学院,江苏,徐州,221008 |
| |
| 基金项目： | 徐州工程学院科研基金 |
| |
| 摘 要： | 基于时滞微分方程稳定性理论,针对一类状态向量中含有时滞的控制系统,研究其时滞相关稳定性问题.通过构造Lyapunov函数,获得了系统稳定、分岔的时滞相关充分条件,所得结论推广和改进了某些已有文献的相应结果.且借助实例及仿真结果解释所得结果的有效性.
|
| 关 键 词： | 时滞 微分方程 控制系统 稳定性 分岔 |
Application of a Class of Second Order Delay Differential Equations in Control System |
| |
| ZHANG Hong-lei.Application of a Class of Second Order Delay Differential Equations in Control System[J].Mathematics in Practice and Theory,2009,39(18). |
| |
| Authors: | ZHANG Hong-lei |
| |
| Abstract: | Based on the stability theory of time-delayed differential equations, the delay-dependent stability for a control system with time-delay in its state vector is studied. By introducing Lyapunov function, a delay-dependent sufficient condition from stability to bifurcation is derived, the results presented in this paper a re the improvement and extension of the existing ones. A numerical examples is given to illuminate the validity of the results derived. |
| |
| Keywords: | time-delay differential equations control system stability bifurcation |
| 本文献已被 万方数据 等数据库收录！ |
|
