Title :
Second order necessity and sufficiency theory for the free final time problem
Author :
Chamberland, M. ; Zeidan, V.
Author_Institution :
Dept. of Appl. Math., Waterloo Univ., Ont., Canada
Abstract :
The authors conduct a thorough study for the free final time problem with control constraints. They formally derive all the results obtained earlier for the fixed final time problem, namely, the accessory problem, the conjugate point theory, and the necessary and sufficient conditions involving the Riccati equation. The analysis constitutes a comprehensive development of the second order necessary and sufficient conditions for the free final time problem
Keywords :
constraint theory; optimal control; Riccati equation; accessory problem; conjugate point theory; control constraints; free final time problem; second-order necessity theory; second-order sufficiency theory; Constraint theory; Erbium; Mathematics; Optimal control; Riccati equations; Sufficient conditions;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371161
