Title :
Compact forms of the generalized Legendre-Clebsch conditions and the computation of singular control trajectories
Author_Institution :
Dept. of Math., Western Australia Univ., Nedlands, WA, Australia
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;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532244
