Optimality Conditions and Solution Algorithms of Optimal Control Problems for Nonlocal Boundary-Value Problems

2016 ◽  
Vol 218 (6) ◽  
pp. 731-736 ◽  
Author(s):  
D. Devadze ◽  
V. Beridze
Keyword(s):  
Optimal Control ◽  
Boundary Value Problems ◽  
Optimality Conditions ◽  
Optimal Control Problems ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Control Problems ◽  
Nonlocal Boundary Value Problems ◽  
Solution Algorithms

scholarly journals BVPs Codes for Solving Optimal Control Problems

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2618
Author(s):  
Francesca Mazzia ◽  
Giuseppina Settanni
Keyword(s):  
Optimal Control ◽  
Numerical Methods ◽  
Boundary Value Problems ◽  
Optimal Control Problems ◽  
Boundary Value ◽  
Minimum Principle ◽  
General Purpose ◽  
Control Problems ◽  
Indirect Methods ◽  
Interesting Class

Optimal control problems arise in many applications and need suitable numerical methods to obtain a solution. The indirect methods are an interesting class of methods based on the Pontryagin’s minimum principle that generates Hamiltonian Boundary Value Problems (BVPs). In this paper, we review some general-purpose codes for the solution of BVPs and we show their efficiency in solving some challenging optimal control problems.

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