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

B. Shklyar
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Abstract

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.

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BibTeXRIS

B. Shklyar. 1998-12-18. On Attainable Set and Controllability for Abstract Control Problem with Unbounded Input Operator. https://arxiv.org/abs/math/9812102

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