This article is cited in 1 paper

On Some Control Problems

N. N. Krasovskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: This article deals with some aspects of typical control problems for dynamical systems, whose evolution is described by differential equations, first by ordinary differential equations and then by equations with time lag. Open and closed loop problems are considered. We are mostly interested in closed loop problems under lack of information on dynamical and informational disturbances. We discuss such notions as an adequate informational image, which determines the character of a strategy; types of strategies: pure and mixed strategies; procedures for the observation and estimation of the current phase state on the basis of the available informational image.

UDC: 519.9

Received in September 1998

 English version: Proceedings of the Steklov Institute of Mathematics, 1999, 224, 189–197

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