On Attainable Set and Controllability for Abstract Control Problem with Unbounded Input Operator
Abstract
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) are established. Controllability conditions for some classes of evolution systems are obtained.
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