This book is devoted to the mathematical optimization theory and
modeling techniques that recently have been applied to the problem
of controlling the shape and intensity of the power density
distribution in the core of large nuclear reactors. The book has
been prepared with the following purposes in mind: 1. To provide,
in a condensed manner, the background preparation on reactor
kinetics required for a comprehensive description of the main
problems encountered in designing spatial control systems for
nuclear reactor cores. 2. To present the work that has already been
done on this subject and provide the basic mathematical tools
required for a full understand ing of the different methods
proposed in the literature. 3. To stimulate further work in this
challenging area by weighting the advantages and disadvantages of
the existing techniques and evaluating their effectiveness and
applicability. In addition to coverage of the standard topics on
the subject of optimal control for distributed parametersystems,
the book includes, at amathemati cal level suitable for graduate
students in engineering, discussions of con ceptsoffunctional
analysis, the representation theory ofgroups, and integral
equations. Although these topics constitute a requisite for a full
understanding of the new developments in the area of reactor
modeling and control, they are seidom treated together in a single
book and, when they are, their presenta tion isoften directed to
the mathematician.They are thus relatively unknown to the
engineering community."
General
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