Controllability and minimum energy control of fractional systems

摘要

The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.