DISCRETE LINEAR QUADRATIC OPTIMIZATION PROBLEM WITH CONSTRAINTS IN THE FORM OF EQUALITIES ON CONTROL ACTION

In the paper the discrete linear quadratic optimization problem, where, over a certain part of the time interval, some coordinates of the control actions are known constants. These equalities in the form of a penalty function with a certain weight are added to the quadratic functional and the corres...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 4; p. 1466
Main Authors Aliev, F.A, Hajiyeva, N.S
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2024
Elman Hasanoglu
Subjects
Algebra
Applied mathematics
Boundary conditions
Constants
Constraint satisfaction
Equations, Quadratic
Euler-Lagrange equation
Mathematical optimization
Methods
Optimization
Penalty function
Tests, problems and exercises
Vertical flight
Vertical motion
Azerbaijan
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Summary:In the paper the discrete linear quadratic optimization problem, where, over a certain part of the time interval, some coordinates of the control actions are known constants. These equalities in the form of a penalty function with a certain weight are added to the quadratic functional and the corresponding discrete Euler-Lagrange equation is constructed, the solution of which is constructed using a discrete fundamental matrix. Then, an explicit expression of control actions over the entire time interval is given. The results are illustrated using the example of the vertical motion of a flying vehicle.
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content type line 14
ISSN:2146-1147
2146-1147