The duality of convex optimization problem for differential inclusions

The purpose of this paper is to investigate the duality for optimal control problems with higher-order differential inclusions. Using locally adjoint mappings and the discretization method, we derive the conditions of optimality for a boundary-value problem with higher-order differential inclusions....

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Bibliographic Details
Main Authors: Sağlam, Sevilay Demir, Mahmudov, Elimhan N.
Format: Conference Proceeding
Language:English
Subjects:
Boundary value problems
Computational geometry
Convexity
Inclusions
Optimal control
Optimization
Online Access:Get full text
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Summary:The purpose of this paper is to investigate the duality for optimal control problems with higher-order differential inclusions. Using locally adjoint mappings and the discretization method, we derive the conditions of optimality for a boundary-value problem with higher-order differential inclusions. This method connects a duality relation problem to a continuous concerning problem. Then, thanks to the dual operations of addition and infimal convolution of convex functions, we obtain duality results. In general, the construction of the duality problem with the assistance of discrete and discrete approximation problems necessitates a significant amount of effort to comprehend the computational aspects. Finally, we show that the optimal solutions to the primal convex and dual concave problems are the same.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0117079