Controllability for Problems with Mixed Constraints

For a controlled system with mixed equality- and inequality-type constraints and a geometric constraint that is a nonempty closed convex set, sufficient conditions for the existence of feasible positional controls are obtained in terms of first derivatives of mappings that define the mixed constrain...

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Bibliographic Details
Published in:Differential equations 2022-02, Vol.58 (2), p.256-263
Main Authors: Arutyunov, A. V., Zhukovskiy, S. E.
Format: Article
Language:English
Subjects:
Control Theory
Degeneration
Difference and Functional Equations
Differential equations
Geometric constraints
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Description
Summary:For a controlled system with mixed equality- and inequality-type constraints and a geometric constraint that is a nonempty closed convex set, sufficient conditions for the existence of feasible positional controls are obtained in terms of first derivatives of mappings that define the mixed constraints. In addition, in terms of the first and second derivatives of these mappings, sufficient conditions for the existence of feasible positional controls are found that are also applicable in the case of degeneration of the first derivatives of the mappings.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266122020100