Construction of almost trivial subsystems of affine control systems

We consider the problem on the construction of subsystems of special form for affine control systems. A subsystem defines part of the trajectories of the original system which lie on some manifold in the state space of the system. Since, in general, the subsystem is simpler than the original system,...

Full description

Saved in:
Bibliographic Details
Published inDifferential equations Vol. 51; no. 11; pp. 1440 - 1448
Main Author Elkin, V. I.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.11.2015
Springer Nature B.V
Subjects
Boundary conditions
Construction
Control systems
Control Theory
Difference and Functional Equations
Differential equations
Manifolds
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
Topological manifolds
Trajectories
Canonical Form
Phase Trajectory
State Space
Integral Manifold
Smooth Vector
Online AccessGet full text

Cover

More Information
Summary:We consider the problem on the construction of subsystems of special form for affine control systems. A subsystem defines part of the trajectories of the original system which lie on some manifold in the state space of the system. Since, in general, the subsystem is simpler than the original system, it follows that this can simplify the solution of some control problems with initial or boundary conditions on the corresponding manifold.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115110051