For linear evolution control system described by x˙=Ax(t)+Bu(t),x(0)=x0 (A generates a strongly continuous semigroup S(t)t≥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 K(t)ˉ are established. Controllability conditions for some classes of evolution systems are obtained.
@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}
}