Relations among the multipliers for problems with bounded state constraints
By: by I. Bert Russak
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1975
Place of publication: Monterey, California
Language: eng
Subjects: Mathematical optimization; Calculus of variations
Description: In previous articles, the author established certain necessary conditions for control problems with constraints of the form [Psi^alpha](t,x) </= 0 [alpha] = 1,...,m.  These conditions involve certain multiplier functions  [mu subscript alpha] (t) of the derivatives of the above constraints together with multiplier constrants [Kappa^alpha] used in the transversality relation.  In this note, it is shown that these terms satisfy [mu subscript alpha] (t^0) </= [Kappa^alpha] with  [mu subscript alpha] (t^0) = [Kappa^alpha] if [Psi^alpha] (t^0) < 0.
Notes: Title from cover.

"Prepared for: Chief of Naval Research"--Cover.

"24 June 1975"--Cover.

"Final report for period April 1975 - June 1975" --Cover.

"NPS-53RU75062"--Cover.

Author(s) key words: OPtimization, calculus of variations, state constraints.

Includes bibliographical references (p. 8).

"Approved for public release; distribution unlimited"--Cover.

Technical report; 23 June 1975.

kmc/kmc 9/9/09.