On the Construction of the Graph of Discrete States of a Switched Affine System

The problem of constructing the graph of states of a switched affine system closed by a static state feedback is considered. To solve this problem, a constructive algorithm based on the study of the consistency of systems of linear algebraic inequalities is proposed.

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Bibliographic Details
Published in:Differential equations 2023-11, Vol.59 (11), p.1547-1556
Main Authors: Fursov, A. S., Krylov, P. A.
Format: Article
Language:English
Subjects:
Algorithms
Control Theory
Difference and Functional Equations
Inequalities
Linear algebra
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
State feedback
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Description
Summary:The problem of constructing the graph of states of a switched affine system closed by a static state feedback is considered. To solve this problem, a constructive algorithm based on the study of the consistency of systems of linear algebraic inequalities is proposed.
ISSN:0012-2661
1608-3083
DOI:10.1134/S00122661230110095