Structural decomposition and finite-dimensional stabilization of fractional systems

Fractional linear systems can be decomposed into integer-order dynamics, pure fractional integrators. and stable long-memory dynamics. For the latter. estimations in the time and frequency domains are given. The decomposition allows to reduce the control of a fractional linear system to a robust control problem for the integer-order part. In particular, the controller will be Finite-dimensional. The method is illustrated by a multivariable example.