Title :
Conjugate points for calculus of variations with inequality state constraints
Author :
Kawasaki, Hidefumi ; Zeidan, Vera
Author_Institution :
Graduate Sch. of Math., Kyushu Univ., Fukuoka, Japan
Abstract :
Variational problems with inequality state constraints are considered. The theory of conjugate points for these problems is developed, and necessary conditions for weak local optimality are derived in terms of this concept and the Legendre condition. The envelope-like effect is taken into consideration in the accessory problem
Keywords :
minimisation; variational techniques; Legendre condition; accessory problem; calculus of variations; conjugate points; envelope-like effect; inequality state constraints; necessary conditions; weak local optimality; Calculus; Constraint theory; Mathematics; Optimal control;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980410
