Ebook: Robust Feedback Synthesis Problem for Systems with a Single Perturbation

Communications in Mathematical Analysis, 2014, 17,
no. 2, pp. 217 - 230, www.math-res-pub.org/cma/17.
The paper deals with the
global robust feedback syntheses of a bounded control for a
disturbed canonical system with an unknown bounded perturbation.
Our approach is based on the controllability function method
created by V. I. Korobov in 1979. We find a segment where the
perturbation can vary and give a positional control which is
independent of the perturbation and steers any initial point to
the origin for any admissible perturbation from this segment.
An estimate for the time of motion is given.