On the theory of realization of strong differential models. I

The topological-algebraic characteristics of ordinary and distributed linear differential extensions are studied, and a qualitative analysis is carried out of the existence of strong differential (A, B)-models realized over the sets of observed dynamical processes (by families of the pairs trajector...

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Published inJournal of applied and industrial mathematics Vol. 1; no. 3; pp. 273 - 282
Main Authors Daneev, A V, Lakeev, A V, Rusanov, V A, Rusanov, M V
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.09.2007
Subjects
Differential equations
Mathematical models
Qualitative analysis
Studies
Topological manifolds
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Summary:The topological-algebraic characteristics of ordinary and distributed linear differential extensions are studied, and a qualitative analysis is carried out of the existence of strong differential (A, B)-models realized over the sets of observed dynamical processes (by families of the pairs trajectory-control) that admit an a posteriori extension.[PUBLICATION ABSTRACT]
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ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478907030039