DocumentCode
3108139
Title
Computation of conjugate times in smooth optimal control: the COTCOT algorithm
Author
Bonnard, Bernard ; Caillau, Jean-Baptiste ; Trélat, Emmanuel
Author_Institution
Institut de Mathématiques de Bourgogne (UMR CNRS 5584), F-21078 Dijon Bernard.Bonnard@ubourgogne.fr
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
929
Lastpage
933
Abstract
Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltonians are evaluated by means of a new algorithm. Two kinds of standard control problems fit in this setting: the so-called regular ones, and the minimum time singular single-input affine systems. Conjugate point theory is recalled in these two cases, and two applications are presented: the minimum time control of the Kepler and Euler equations.
Keywords
Code standards; Computer interfaces; Contracts; Control systems; Differential equations; Earth; Heuristic algorithms; Jacobian matrices; Optimal control; Packaging;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1582276
Filename
1582276
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