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Estimation Techniques for Distributed Parameter Systems (Hardcover, 1989 ed.)
Loot Price: R2,325
Discovery Miles 23 250
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Estimation Techniques for Distributed Parameter Systems (Hardcover, 1989 ed.)
Series: Systems & Control: Foundations & Applications
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The research detailed in this monograph was originally motivated by
our interest in control problems involving partial and delay
differential equations. Our attempts to apply control theory
techniques to such prob lems in several areas of science
convinced us that in the need for better and more detailed models
of distributed/ continuum processes in biology and mechanics lay a
rich, interesting, and challenging class of fundamen tal
questions. These questions, which involve science and mathematics,
are typical of those arising in inverse or parameter estimation
problems. Our efforts on inverse problems for distributed parameter
systems, which are infinite dimensional in the most common
realizations, began about seven years ago at a time when rapid
advances in computing capabilities and availability held promise
for significant progress in the development of a practically useful
as well as theoretically sound methodology for such problems. Much
of the research reported in our presentation was not begun when we
outlined the plans for this monograph some years ago. By publishing
this monograph now, when only a part of the originally intended
topics are covered (see Chapter VII in this respect), we hope to
stimulate the research and interest of others in an area of
scientific en deavor which has exceeded even our optimistic
expectations with respect to excitement, opportunity, and
stimulation. The computer revolution alluded to above and the
development of new codes allow one to solve rather routinely
certain estimation problems that would have been out of the
question ten years ago.
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