Journal of Applied Analysis
Vol. 1, No. 1, pp. 13-27 (1995)
Bellman spheres for linear controlled objects of second order
V.G. Boltyanski and J. Marti VazquesCentro de Investigationes
en Mathematicas, A.P. 402
36000 Guanajuato, GTO
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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