| 二阶时滞微分方程的脉冲指数稳定性 |
| |
| 引用本文： | 廖成斌,赵立春.二阶时滞微分方程的脉冲指数稳定性[J].兰州铁道学院学报,2009,28(1):157-160. |
| |
| 作者姓名： | 廖成斌 赵立春 |
| |
| 作者单位： | 廖成斌,LIAO Cheng-bin(兰州理工大学计算机与通信学院,甘肃,兰州,730050);赵立春,ZHAO Li-chun(兰州理工大学理学院,甘肃,兰州,730050)
|
| |
| 摘 要： | 研究二阶时滞微分方程的脉冲控制，利用Lyapunov函数方法，得到了二阶时滞微分方程的脉冲指数稳定的充分条件，推广、改进了相关文献的结果，举例说明了脉冲的控制作用．
|
| 关 键 词： | 时滞 脉冲 稳定性 Lyapunov函数 |
Impulsive Stability for Second-order Differential Equation with Delay |
| |
| LIAO Cheng-bin,ZHAO Li-chun.Impulsive Stability for Second-order Differential Equation with Delay[J].Journal of Lanzhou Railway University,2009,28(1):157-160. |
| |
| Authors: | LIAO Cheng-bin ZHAO Li-chun |
| |
| Institution: | 1.School of Computer and Communication;Lanzhou University of Technology;Lanzhou 730050;China;2.School of Science;China |
| |
| Abstract: | This paper is concerned with impulsive control of second order delay differential equation.By employing the method of Lyapunov functions,criteria on the exponential stabilization by impulses are gained.Our results generalize and improve that in the relative literatures.An example is also given to illustrate the efficiency of our result,in which the control effects of impulses are especially stressed. |
| |
| Keywords: | delay impulse stability Lyapunov function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
