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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2007 Issue 11, Pages 135–149 (Mi at1082)

This article is cited in 8 papers

Control of Systems

Pulse control problems under ellipsoidal constraints: Constraint parameters sensitivity

O. G. Vzdornova, T. F. Filippova

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

Abstract: Consideration is given to pulse control problems for the tube of trajectories of the linear differential system under incomplete information on the initial data. Apart from the ordinary requirement for boundedness of variation, a special constraint of the ellipsoidal type is imposed on control actions; at this constraint, vectors of jumps of generalized controls belong to the specified ellipsoid of the corresponding finite-dimensional space. The dependence of the variation of optimal pulse control that solves the control problem for the tube of trajectories on parameters of the ellipsoidal constraint on admissible controls is studied.

PACS: 02.30.Yy

Presented by the member of Editorial Board: A. I. Kibzun

Received: 14.12.2006


 English version:
Automation and Remote Control, 2007, 68:11, 2015–2028

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