A. E. Choque Rivero, V. I. Korobov, V. A. Skorik, “The controllability function as the time of motion. I”, Mat. Fiz. Anal. Geom., 2004, Volume 11, Number 2,Pages <nobr>208

This article is cited in 14 papers

The controllability function as the time of motion. I

A. E. Choque Rivero^a, V. I. Korobov^b, V. A. Skorik^c

^a Area Básica, Universidad Autónoma del Carmen, Calle 56 No. 4, Cd. del Carmen, Campeche, C.P. 24180, México
^b Institute of Mathematics, Szczecin University, Wielkopolska Str., 15, Szczecin, 70451, Poland
^c V. N. Karazin Kharkiv National University, Faculty of Mathematics and Mechanics

Abstract: The problem of the admissible synthesis of feedback controls for the canonical system with geometric constraints on the control is considered. The investigation is carried out on the basic of the method of the controllability function. The constructed controllability functions are the time of motion from an arbitrary starting point to the zero and the controls solve the problem.

MSC: 93P50

Received: 30.07.2003