The controllability of fractional damped dynamical systems with control delay

• Fractional damped dynamical systems with control delay is studied.
• Necessary and sufficient conditions are established. The obtained conditions are easily checkable.
• The uniqueness of the control depends not only on the control arrived time but also on the matrices in system.

This paper investigates the controllability of fractional damped dynamical systems with control delay. Necessary and sufficient conditions for the controllability of fractional damped dynamical systems with control delay are established. The obtained conditions are easily checkable. An example is also given to illustrate the theory.