On Attainable Set and Controllability for Abstract Control Problem with Unbounded Input Operator

B. Shklyar

On Attainable Set and Controllability for Abstract Control Problem with Unbounded Input Operator

动力系统 2007-05-23 v2

作者: B. Shklyar

摘要

For linear evolution control system described by $\dot{x}=Ax(t)+Bu(t),x(0)=x_{0}$ ( $A$ generates a strongly continuous semigroup ${S(t)}_{t\ge 0}$ in a Banach space $X$ ; $B$ is a linear unbounded operator), the attainable set $K(t)$ is studied. Conditions of the independence of $t$ for its closure $\bar{K(t)}$ are established. Controllability conditions for some classes of evolution systems are obtained.

关键词

controllability controllability theory

引用

@article{arxiv.math/9812102,
  title  = {On Attainable Set and Controllability for Abstract Control Problem with Unbounded Input Operator},
  author = {B. Shklyar},
  journal= {arXiv preprint arXiv:math/9812102},
  year   = {2007}
}

备注

19 pages, LaTeX, no figures

相关论文

查看更多相关论文 →

动力系统 · 数学

Feedback stabilization of linear and bilinear unbounded systems in Banach space