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IMA Journal of Mathematical Control and Information 1996 13(2):195-209; doi:10.1093/imamci/13.2.195
© 1996 by Institute of Mathematics and its Applications
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Constant relaxed controls with noncommensurate delays

JAVIER F. ROSENBLUETH

IIMAS-UNAM, Apartado Postal 20–726, México DF 01000 Mexico

We introduce in this paper a new technique for the approximation by ordinary delayed controls of certain relaxed controls involving noncommensurate delays. This model of relaxation, which we call the ‘weak’ precedure, was originally proposed by Warga and is defined for optimal-control problems with nonadditively coupled delays in the control variables. We study several examples of constant weakly relaxed controls, and show how a modified version of a recently proposed method applicable to a class of these functions, in the event that the control set consists of two points, can be extended to all constant weakly relaxed controls with two noncommensurate delays.


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