| 常微分系统脉冲控制 |
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| 引用本文： | 陈允章,冯伟贞.常微分系统脉冲控制[J].华南师范大学学报(自然科学版),2011,0(3). |
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| 作者姓名： | 陈允章 冯伟贞 |
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| 作者单位： | 1.华南师范大学数学科学学院 |
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| 摘 要： | 考察了较为一般形式的常微分系统的脉冲控制问题, 得到了系统在解存在唯一及 $F(t,X)$ 连续的前提下, 即可脉冲控制有界、吸引的结论, 在弱利普希茨条件下, 得到可脉冲控制稳定, 渐近稳定及指数稳定的结论, 并得到了脉冲控制的具体算法.
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| 关 键 词： | 脉冲微分系统 弱利普希茨条件 可脉冲控制 |
| 收稿时间： | 2010-05-17 |
IMPULSIVE CONTROL OF ORDINARY DIFFERENTIAL SYSTEMS |
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| CHEN Yunzhang,FENG Weizhen.IMPULSIVE CONTROL OF ORDINARY DIFFERENTIAL SYSTEMS[J].Journal of South China Normal University(Natural Science Edition),2011,0(3). |
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| Authors: | CHEN Yunzhang FENG Weizhen |
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| Institution: | CHEN Yunzhang,FENG Weizhen (School of Mathematics,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | The impulsive control for ordinary differential systems is investigated.It is obtained that the solution is impulsive controllable bounded and impulsive controllable attractive under the assumptions that the solution exists and is unique,and F(t,X) is continuous.On the other hand,if F(t,X) is weak Lipschitzian,then the solution is impulsive controllable stabilization,impulsive controllable asymptotical stabilization and exponential stabilization.Two examples are given to illustrate the application of the re... |
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| Keywords: | impulsive differential equation weak Lipschitzian impulsive control |
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