DocumentCode
300721
Title
Compact forms of the generalized Legendre-Clebsch conditions and the computation of singular control trajectories
Author
Goh, Bean-San
Author_Institution
Dept. of Math., Western Australia Univ., Nedlands, WA, Australia
Volume
5
fYear
1995
fDate
21-23 Jun 1995
Firstpage
3410
Abstract
Two compact forms of the generalized Legendre-Clebsch necessary conditions for a singular extremal are described. One is more convenient for testing whether or not the generalized Legendre-Clebsch conditions are satisfied. The strengthened form of the other compact form of the generalized Legendre-Clebsch conditions provides just the right conditions for the control variables to be evaluated as functions of the state and costate variables and thereby providing a canonical formalism for a singular variational problem
Keywords
matrix algebra; singular optimal control; variational techniques; canonical formalism; generalized Legendre-Clebsch conditions; singular control trajectories; singular extremal; singular variational problem; Centralized control; Force control; Jacobian matrices; Mathematics; Optimal control; Physics; Quantum mechanics; Rockets; Spirals; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, Proceedings of the 1995
Conference_Location
Seattle, WA
Print_ISBN
0-7803-2445-5
Type
conf
DOI
10.1109/ACC.1995.532244
Filename
532244
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