Communications in Mathematical Analysis

Robust Feedback Synthesis Problem for Systems with a Single Perturbation

V. I. Korobov and T. V. Revina

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Commun. Math. Anal., Volume 17, Number 2 (2014), 217-230.

First available in Project Euclid: 18 December 2014

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 93B50: Synthesis problems 93C73: Perturbations

Controllability function method robust feedback synthesis problem finite-time stabilization unknown bounded perturbation


Korobov , V. I.; Revina, T. V. Robust Feedback Synthesis Problem for Systems with a Single Perturbation. Commun. Math. Anal. 17 (2014), no. 2, 217--230.

Export citation