Construction of almost integral manifolds of affine control systems
Autor: | V. I. Elkin |
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Rok vydání: | 2016 |
Předmět: |
0209 industrial biotechnology
Pure mathematics General Mathematics 010102 general mathematics Mathematical analysis Invariant manifold 02 engineering and technology 01 natural sciences Affine plane Manifold Affine coordinate system 020901 industrial engineering & automation Stein manifold Mathematics::Differential Geometry State space (physics) Affine transformation 0101 mathematics Mathematics::Symplectic Geometry Analysis Center manifold Mathematics |
Zdroj: | Differential Equations. 52:1436-1441 |
ISSN: | 1608-3083 0012-2661 |
Popis: | We consider the problem of constructing manifolds of a special form, which are said to be almost integral, lie in the state space of an affine control system, and have the following property: the restriction of the control system to such a manifold is an almost trivial control system defining the part of trajectories of the original system lying on that manifold. |
Databáze: | OpenAIRE |
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