Journal article
A class of optimization problems with noncompact constraints: general results and applications
SIAM journal on control and optimization, Vol.25(4), pp.1032-1052
1987
DOI: 10.1137/0325057
Abstract
A two-stage enzymatic process in the liver is studied. Optimization problems recently studied in liver kinetics feature noncompact constraints and highly nonunique solutions. Here a wider class of problems with these properties is considered. It is shown that it is sufficient to solve the problem with an additional, compact constraint. From the solutions of this restricted problem all solutions of the original problem can be obtained. By means of this result and Pontryagin's maximum principle, solutions are found for some problems of liver-kinetic interest.
Details
- Title: Subtitle
- A class of optimization problems with noncompact constraints: general results and applications
- Creators
- K Holmaker - University of QueenslandD Stewart - University of Queensland
- Resource Type
- Journal article
- Publication Details
- SIAM journal on control and optimization, Vol.25(4), pp.1032-1052
- Publisher
- Society for Industrial and Applied Mathematics
- DOI
- 10.1137/0325057
- ISSN
- 0363-0129
- eISSN
- 1095-7138
- Language
- English
- Date published
- 1987
- Academic Unit
- Mathematics
- Record Identifier
- 9984241040502771
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