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Partial Differential Control Theory - Volume I: Mathematical Tools, Volume II: Control System (Paperback, Softcover reprint of the original 1st ed. 2001)
Loot Price: R5,774
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Partial Differential Control Theory - Volume I: Mathematical Tools, Volume II: Control System (Paperback, Softcover reprint of the original 1st ed. 2001)
Series: Mathematics and Its Applications, 530
Expected to ship within 10 - 15 working days
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The mathematical theory of "open" dynamical systems is a creation
of the twentieth century. Its humble beginnings focused on ideas of
Laplace transforms applied to linear problems of automatic control
and to the analysis and synthesis of electrical circuits. However
during the second half of the century, it flowered into a field
based on an array of sophisticated mathematical concepts and
techniques from algebra, nonlinear analysis and differential
geometry. The central notion is that of a dynamical system that
exchanges matter, energy, or information with its surroundings,
i.e. an "open" dynamical system. The mathema tization of this
notion evolved considerably over the years. The early development
centered around the input/output point of view and led to important
results, particularly in controller design. Thinking about open
systems as a "black box" that accepts stimuli and produces
responses has had a wide influence also in areas outside
engineering, for example in biology, psychology, and economics. In
the early 1960's, especially through the work of Kalman,
input/state/output models came in vogue. This model class
accommodates very nicely the internal initial conditions that are
essentially always present in a dynamical system. The introduction
of input/state/output models led to a tempestuous development that
made systems and control into a mature discipline with a wide range
of concepts, results, algorithms, and applications.
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