In a previous paper written jointly with Q. J. Zhu (1992, J. Math. Anal. Appl. \(169,546-561)\) we studied optimal control problems defined by functional-integral equations (and, in particular, ordinary differential equations) with shifts in the controls and with the shifted controls not necessarily
A proper relaxation of shifted and delayed controls
โ Scribed by J Warga; Q.J Zhu
- Book ID
- 103195167
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 729 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-247X
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The question of how to properly relax optimal control problems involving arbitrary commensurate delays in the controls was studied in a recent paper by characterizing, in terms of projections of a common probability measure, the weak star closure of the space of ordinary controls. In this paper, we
The search of a proper relaxation procedure in the sense that relaxed minimiz-. ers can be approximated with ordinary controls for optimal control problems involving delays in the control variables has been the main topic of several recent papers. Three models of relaxation, which we call the weak,