Some Sufficiency Conditions for Pareto-Optimal Control

[+] Author and Article Information
G. Leitmann

University of California, Berkeley, Calif.

W. Schmitendorf

Northwestern University, Evanston, Ill.

J. Dyn. Sys., Meas., Control 95(4), 356-361 (Dec 01, 1973) (6 pages) doi:10.1115/1.3426735 History: Received March 09, 1973; Online July 13, 2010


We consider the optimal control problem with vector-valued criterion (including cooperative games) and seek Pareto-optimal (noninferior) solutions. Scalarization results, together with modified sufficiency theorems from optimal control theory, are used to deduce sufficient conditions for Pareto-optimality. The utilization of these conditions is illustrated by various examples.

Copyright © 1973 by ASME
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