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Sequential conjugate gradient‐restoration algorithm for optimal control problems with non‐differential constraints and general boundary conditions, part 2
Author(s) -
Wu A. K.,
Miele A.
Publication year - 1980
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660010203
Subject(s) - conjugate gradient method , boundary (topology) , mathematics , convergence (economics) , conjugate , differential (mechanical device) , quadratic equation , mathematical optimization , subject (documents) , computer science , algorithm , mathematical analysis , engineering , geometry , aerospace engineering , economics , economic growth , library science
In Reference 1, Wu and Miele developed the sequential conjugate gradient‐restoration algorithm for minimizing a functional subject to differential constraints, with or without non‐differential constraints, and general boundary conditions. In this paper, several numerical examples are presented. Some of these pertain to a quadratic functional subject to linear constraints, and some pertain to a non‐quadratic functional subject to non‐linear constraints. These examples demonstrate the feasibility as well as the convergence characteristics of the sequential conjugate gradient‐restoration algorithm.