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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/484 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/484 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/484 archive 351 disk0/00/00/04/65 2016-01-15 01:42:48 2021-08-27 17:08:10 2016-01-15 01:42:48 monograph show 2 Ito K. AL0778 pub iis_mod iis_met prog_mmt In this paper, for a distributed parameter system described by a partial differential equation of parabolic type, two optimal control problems are investigated. From the engineering standpoint on the construction of control devices, we assumed that both distributed and boundary controls are respectively concentrated spatially onto some spatial domains or onto some parts of the boundary. First, for a performance index in quadratic form, an optimal control problem with continuous-time control is considered. Applying the technique of dynamic programming, a non-linear integro-partial differential equation analogous to the Riccati equation has been obtained. Second, using Green's function representation, the same optimal control problem with discrete-time control is discussed, and the recurrence relationships to determine the optimal control policy have been derived. Lastly, relationships between the above-obtained optimal continuous-time and discrete-time controls have been discussed. 1975-10 published RM-75-051 RM-75-051 10 1977 public research_memorandum IIASA, Laxenburg, Austria 22 FALSE info:eu-repo/semantics/book