Sweep algorithm for solving optimal control problem with multi-point boundary conditions

DOI10.1186/s13662-015-0569-5zbMath1444.49002OpenAlexW1523876869WikidataQ59430553 ScholiaQ59430553MaRDI QIDQ1620674

Leyla I. Amirova, Rena T. Zulfugarova, Mutallim M. Mutallimov

Publication date: 13 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0569-5

zbMATH Keywords

initial conditionssystem of linear algebraic equationsmulti-point boundary conditionssweep algorithm

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Discrete approximations in optimal control (49M25)

Related Items (4)

About One Sweep Algorithm for Solving Linear-Quadratic Optimization Problem with Unseparated Two-Point Boundary Conditions ⋮ Unnamed Item ⋮ Comments on `Sweep algorithm for solving optimal control problem with multi-point boundary conditions' by M Mutallimov, R Zulfuqarova, and L Amirova ⋮ A new run algorithm for solving the continuous linear-quadratic optimal control problem with unseparated boundary conditions

Cites Work

• Pontryagin's maximum principle for the optimal control problems with multipoint boundary conditions
• Asymptotic method of solution for a problem of construction of optimal gas-lift process modes
• The problem of optimizing the torsional rigidity of a prismatic body about a cross Section
• On the transfer of boundary conditions for systems of ordinary linear differential equations (a variant of the dispersive method)
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