On the Existence of Time Optimal Controls for Linear Evolution Equations,” Discrete and Continuous Dynamical Systems, Se5

(Communicated by Roberto Triggiani) Abstract. This work concerns with the existence of the time optimal controls for some linear evolution equations without the a priori assumption on the existence of admissible controls. Both global and local existence results are presented. Some necessary conditions, sufficient conditions, and necessary and sufficient conditions for the existence of time optimal controls are derived by establishing the relationship between controllability and time optimal control problems