This article is cited in 1 paper

Deterministic Systems

Certain problems of asymptotic analysis and extensions. II

A. G. Chentsov

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

Abstract: A hypothetical formulation in analysis of hybrid extensions containing a component realizing the compactification by “part of controls” and a component satisfying nonnegativity conditions is studied. It is applied, in particular, to study the asymptotic behavior of controls for linear systems with discontinuous control coefficients, boundary and intermediate conditions, and phase constraints. Intermediate conditions under impulse constraints may induce effects similar to the effects due to the discontinuity of control coefficients. Therefore, extensions in the class of finitely-additive measures must be used under a combination of constraints and intermediate conditions as in the case of continuous control coefficients.

PACS: 07.05.Dz

Presented by the member of Editorial Board: B. M. Miller

Received: 15.12.2002

 English version: Automation and Remote Control, 2006, 67:1, 115–131

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