Title :
A local second- and third-order maximum principle
Author :
Sussmann, Hector J.
Author_Institution :
Dept. of Math., Rutgers, the State Univ. of New Jersey, Piscataway, NJ, USA
Abstract :
We present an abstract necessary condition for set separation, a necessary condition for a minimum in an abstract setting. The optimal control results are presented. We also present an example showing that our results apply in cases where previous results do not. For lack of space, we omit the proofs, we limit our discussion to problems with fixed endpoints, and we only consider the second and third-order cases.
Keywords :
maximum principle; optimal control; optimisation; abstract necessary condition; fixed endpoints; maximum principle; optimal control; set separation; Electronic mail; Mathematics; Needles; Optimal control; Polynomials;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1025272
