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,即可脉冲控制有界和吸引的结论,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.
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 results.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2011年第3期19-23,共5页
Journal of South China Normal University(Natural Science Edition)
关键词
脉冲微分系统
弱利普希茨条件
可脉冲控制
impulsive differential equation
weak Lipschitzian
impulsive control
