Hamiltonian necessary conditions for a multiobjective optimal control problem with endpoint constraints

Authors
Zhu, QJJ
Citation
Qjj. Zhu, Hamiltonian necessary conditions for a multiobjective optimal control problem with endpoint constraints, SIAM J CON, 39(1), 2000, pp. 97-112
Citations number
41
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
39
Issue
1
Year of publication
2000
Pages
97 - 112
Database
ISI
SICI code
0363-0129(20000824)39:1<97:HNCFAM>2.0.ZU;2-U
Abstract
This paper discusses Hamiltonian necessary conditions for nonsmooth multiob jective optimal control problem with endpoint constraints involving general preference. The transversality condition in our necessary conditions is st ated in terms of normal cones to the level sets of the preference. Examples involving a number of useful preferences are discussed.