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2020 | OriginalPaper | Chapter

Optimization of the Values of the Right-Hand Sides of Boundary Conditions with Point and Integral Terms for the ODE System

Authors : Kamil Aida-zade, Vagif Abdullayev

Published in: Optimization and Applications

Publisher: Springer International Publishing

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Abstract

In the paper, we investigate the problem of optimal control for a linear system of ordinary differential equations with linear boundary conditions. The boundary conditions include, as terms, the values of the phase variable both at separate intermediate points and their integral values over individual intervals of the independent variable. The values of the right sides of unseparated boundary conditions are optimizing in the problem. In the paper the necessary conditions for the existence and uniqueness of the solution to the boundary value problem, the convexity of the target functional, the necessary optimality conditions for the optimized parameters are obtained. Conditions contain constructive formulas of the gradient components of the functional. The numerical solution of an illustrative problem is considered.

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next chapter Saddle-Point Method in Terminal Control with Sections in Phase Constraints

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Title: Optimization of the Values of the Right-Hand Sides of Boundary Conditions with Point and Integral Terms for the ODE System
Authors: Kamil Aida-zade
Vagif Abdullayev
Publisher: Springer International Publishing
Book: Optimization and Applications
Print ISBN: 978-3-030-62866-6

Electronic ISBN: 978-3-030-62867-3

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-62867-3_1

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