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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013 Issue 4, Pages 146–155 (Mi vuu409)

This article is cited in 2 papers

MATHEMATICS

To the problem of modal control for linear systems of neutral type

V. E. Khartovskiia, A. T. Pavlovskayab

a Department of Logistics and Methods of Control, Yanka Kupala State University of Grodno, ul. Ozheshko, 22, Grodno, 230023, Belarus
b Department of Mathematical Analysis and Differential Equations, Yanka Kupala State University of Grodno, ul. Ozheshko, 22, Grodno, 230023, Belarus

Abstract: For linear autonomous systems of neutral type with one delay in the state, we develop the method of construction of linear difference-differential feedback controls that ensure modal controllability. In this case, we distinguish the cases of continuous and absolutely continuous solutions. The generalization of these results to a system of this type with multiple commensurate delays is suggested.

Keywords: the systems of neutral type, modal controllability, the difference-differential feedback control.

UDC: 517.977

MSC: 93B05, 93С15

Received: 06.11.2013



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