Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints

Authors

Qiji Jim Zhu, Western Michigan UniversityFollow

Document Type

Article

Publication Date

2000

Abstract

This paper discusses Hamiltonian necessary conditions for a nonsmooth multiobjective optimal control problem with endpoint constraints involving a general preference. The transversality condition in our necessary conditions is stated in terms of normal cones to the level sets of the preference. Examples involving a number of useful preferences are discussed.

Comments

https://doi.org/10.1137/S0363012999350821

WMU ScholarWorks Citation

Zhu, Qiji Jim, "Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints" (2000). Math Faculty Publications. 12.
https://scholarworks.wmich.edu/math_pubs/12