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Optimal control problems with differential inclusions: Sufficiency conditions and an application to a production‐inventory model
Author(s) -
Hartl Richard F.,
Sethi Suresh P.
Publication year - 1984
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660050403
Subject(s) - differential inclusion , production (economics) , differentiable function , differential (mechanical device) , optimal control , mathematical optimization , class (philosophy) , control (management) , mathematics , computer science , economics , engineering , microeconomics , artificial intelligence , mathematical analysis , aerospace engineering
In this paper we derive useful sufficiency optimality conditions for a class of optimal control problems subject to differential inclusions and involving non‐differentiable functions. A production‐inventory problem is solved to illustrate our results.