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Chaung Lin, Zhihsin Lin, W. Jiang (1989)
Optimal control of a boiling water reactor load-following operationNuclear Science and Engineering, 102
S. Stojanovic (1989)
Optimal damping control and nonlinear parabolic systemesNumerical Functional Analysis and Optimization, 10
A. Leung (1995)
Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systemsApplied Mathematics and Optimization, 31
Feiyue He, A. Leung, S. Stojanovic (1994)
Periodic optimal control for competing parabolic Volterra-Lotka-type systemsJournal of Computational and Applied Mathematics, 52
O. Ladyženskaja (1968)
Linear and Quasilinear Equations of Parabolic Type, 23
S. Lenhart, M. Bhat (1992)
APPLICATION OF DISTRIBUTED PARAMETER CONTROL MODEL IN WILDLIFE DAMAGE MANAGEMENTMathematical Models and Methods in Applied Sciences, 02
A. Leung (1989)
Systems of Nonlinear Partial Differential Equations: Applications to Biology and Engineering
G. Christensen, S. Soliman, R. Nieva (1990)
Optimal Control of Distributed Nuclear Reactors
J. Lewins (1978)
Nuclear reactor kinetics and control
A. Leung, S. Stojanovic (1993)
Optimal Control for Elliptic Volterra-Lotka Type EquationsJournal of Mathematical Analysis and Applications, 173
A. Leung, Gen-shun Chen (1986)
Elliptic and parabolic systems for neutron fission and diffusionJournal of Mathematical Analysis and Applications, 120
W. Terney, D. Wade (1977)
Optimal Control Applications in Nuclear Reactor Design and Operation
This article considers the optimal control of nuclear fission reactors modeled by parabolic partial differential equations. The neutrons are divided into fast and thermal groups with two equations describing their interaction and fission, while a third equation describes the temperature in the reactor. The coefficient for the fission and absorption of the thermal neutron is assumed to be controlled by a function through the use of control rods in the reactor. The object is to maintain a target neutron flux shape, while a desired power level and adjustment costs are taken into consideration. A nonlinear optimality system of six equations is deduced, characterizing the optimal control. An iterative procedure is shown to contract toward the solution of the optimality system in small time intervals. The theory is extended to include the effect of other fission products, leading to coupled ordinary and partial differential equations. Numerical experiments are also included, suggesting directions for further research.
Applied Mathematics and Optimization – Springer Journals
Published: Jun 1, 2007
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