This article is cited in 3 papers

Riemann integrability of an optimal control in linear time-optimal problems

D. B. Silin


Abstract: A linear time-optimal problem is considered. It is shown that the set of initial states for which a three-dimensional time-optimal problem at the origin, with constant coefficients, has no solution in the class of Riemann integrable controls can fill up a given ball to an arbitrary extent. For a large class of multidimensional systems it is shown that this set does not contain isolated points. Sufficient conditions for the existence of a Riemann integrable control are studied for problems with variable coefficients.
Bibliography: 8 titles.

UDC: 517.977.55

MSC: Primary 49A10; Secondary 52A99

Received: 24.12.1981

 English version: Mathematics of the USSR-Izvestiya, 1985, 25:1, 183–192

Bibliographic databases:

• 
•