摘要
讨论退化时滞微分控制系统的能控性问题· 首先将退化时滞微分控制系统化为标准形式,除去关联项,得到具独立子系统的退化时滞微分控制系统· 然后就一般的退化时滞微分控制系统,得到其能控的充要条件为其可达集等于全空间· 对于具独立子系统的广义时滞控制系统,给出其能控的充要条件为每个子系统的可达集等于其相应的子空间,并给出其能控的代数判据。
The controllability of delay degenerate differential control systems is discussed.Firstly,delay degenerate differential control system was transformed to be canonical form,and the connected terms were gotten rid of, had delay degenerate differential control systems with independent subsystems.For the general delay degenerate differnetial control systems,it was gotten that the necessary and sufficient condition of that they are controllable is that their reachable set is equal to the whole space.For the delay degenerate differential control systems with independent subsystems,it was gotten that the necessary and sufficient conditions of that they are controllable are that their reachable sets are equal to their corresponding subspaces.Then some algebra criteria were gotten.Finally,an example was given to illustrate the main results.
出处
《应用数学和力学》
CSCD
北大核心
2003年第6期624-630,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10241005)
关键词
独立于系统
退化时滞微分系统
能控性
independent subsystem
delay degenerate differential control system
controllability
