Controllability of a Class of Linear Systems in Banach Space
Quan Zheng · Proceedings of the American Mathematical Society · 1995
This paper studies the notions of controllability for the linear systems associated with the generator of an exponentially bounded C-semigroup in a Banach space, controls also belonging to Banach spaces. Necessary and sufficient conditions are obtained in that framework, and the duality property is studied, which generalize the corresponding results of the linear systems associated with the generator of a strongly continuous semigroup.