DocumentCode
887684
Title
Conjugate points and optimal control: counterexamples
Author
Zeidan, V. ; Zezza, P.
Author_Institution
Dept. of Appl. Math., Waterloo Univ., Ont., Canada
Volume
34
Issue
2
fYear
1989
fDate
2/1/1989 12:00:00 AM
Firstpage
254
Lastpage
255
Abstract
The authors provide three counterexamples. One shows that the accessory problem proposed in P. Bernhard (Advance in Hamiltonian Systems, 1983, pp.109-142) is not complete, and the others illustrate that one-sided controllability assumptions are not enough to derive the necessary conditions involving the conjugate point theory in optimal control. Hence, it is concluded that the corresponding theorems by Bernhard and by J. V. Breakwell and Y.C. Ho (1965) are incorrect
Keywords
controllability; optimal control; accessory problem; conjugate point theory; one-sided controllability; optimal control; Calculus; Controllability; Equations; Mathematics; Optimal control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.21115
Filename
21115
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