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Avtomatika i Telemekhanika, 2008, Issue 4, Pages 51–58 (Mi at636)  
This article is cited in 5 scientific papers (total in 5 papers)

Systems with Lumped Parameters

External bounds and step controllability of the linear interval system

L. T. Ashchepkov

Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
Full-text PDF (181 kB) Citations (5)
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Abstract: The differential equations describing double-sided bounds of the fundamental matrix of solutions for the linear control system with variable interval coefficients are obtained. Based on those bounds, the controllability problem, i.e., the possibility to transfer the system from a given parallelepiped to another in finite time in the class of step (piecewise constant) controls, is examined. Sufficient conditions of controllability in the form of solvability of an auxilliary linear programming problem are established. This problem results in step control transferring a of system trajectories from an initial parallelepiped to a minimal neighborhood of a final parallelepiped.
Presented by the member of Editorial Board: V. N. Bukov

Received: 16.01.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 4, Pages 590–596
DOI: https://doi.org/10.1134/S000511790804005X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: L. T. Ashchepkov, “External bounds and step controllability of the linear interval system”, Avtomat. i Telemekh., 2008, no. 4, 51–58; Autom. Remote Control, 69:4 (2008), 590–596
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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