EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 1, No. 1, pp. 13-27 (1995)

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Bellman spheres for linear controlled objects of second order

V.G. Boltyanski and J. Marti Vazques

Centro de Investigationes
en Mathematicas, A.P. 402
36000 Guanajuato, GTO
Mexico

Abstract: In this paper, a connection between Bellman's spheres for piecewise continuous and measurable controls is considered. The investigation is conducted for linear controlled objects of the second order with a rather complicated two--dimensional control region. A collection of examples is included to illustrate the obtained results.

Keywords: Linear controlled object, time-optimality, Bellman's sphere, maximum principle, piecewise continuous controls, measurable controls, eigenvalues

Classification (MSC2000): 49J15, 49K15, 49N05

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Electronic fulltext finalized on: 28 May 2002. This page was last modified: 21 Dec 2002.

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