常微分系统脉冲控制

详细信息

IMPULSIVE CONTROL OF ORDINARY DIFFERENTIAL SYSTEMS

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.
- 脉冲微分系统 /
- 弱利普希茨条件 /
- 可脉冲控制
Abstract: The impulsive control for ordinary differential systems is investigated.It is obtained that the solution 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 results.
- impulsive differential /
- weak Lipschitzian /
- impulsive control