Unification of a differential inclusion with parameter in the guidance problem

A differential inclusion (d.i.) with a parameter α ∈ ℒ, where ℒ is a compact set in a finite-dimensional Euclidean space is considered. The problem under study is one of guiding a d.i. to a given compact set M in the phase space of the d.i. at a fixed moment of time. Issues concerning the unificatio...

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Bibliographic Details
Published inDoklady. Mathematics Vol. 96; no. 3; pp. 594 - 597
Main Authors Ushakov, V. N., Parshikov, G. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.11.2017
Springer Nature B.V
Subjects
Euclidean geometry
Euclidean space
Mathematics
Mathematics and Statistics
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Summary:A differential inclusion (d.i.) with a parameter α ∈ ℒ, where ℒ is a compact set in a finite-dimensional Euclidean space is considered. The problem under study is one of guiding a d.i. to a given compact set M in the phase space of the d.i. at a fixed moment of time. Issues concerning the unification of the d.i. with a parameter are discussed. A specific feature of the present unification is that it is performed for a parameterdependent d.i. that cannot be initially structured by a vector function similar to those determining the dynamics of systems in control and conflict control problems.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562417060205