caa a22 4500 397558791 CHVBK 20180308164811.0 cr unu---uuuuu 161202e199606 xx s 000 0 eng 10.1093/imamci/13.2.195 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.2.195 ROSENBLUETH JAVIER F. IIMAS-UNAM, Apartado Postal 20-726, México DF 01000, Mexico Constant relaxed controls with noncommensurate delays [Elektronische Daten] [JAVIER F. ROSENBLUETH] 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. © Oxford University Press Articles nationallicence IMA Journal of Mathematical Control and Information Oxford University Press 13/2(1996-06), 195-209 0265-0754 13:2<195 1996 13 imamci https://doi.org/10.1093/imamci/13.2.195 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.2.195 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- ROSENBLUETH JAVIER F. IIMAS-UNAM, Apartado Postal 20-726, México DF 01000, Mexico NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/2(1996-06), 195-209 0265-0754 13:2<195 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford