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A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering (Hardcover, New)
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A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering (Hardcover, New)
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A Modern Framework Based on Time-Tested MaterialA Functional
Analysis Framework for Modeling, Estimation and Control in Science
and Engineering presents functional analysis as a tool for
understanding and treating distributed parameter systems. Drawing
on his extensive research and teaching from the past 20 years, the
author explains how functional analysis can be the basis of modern
partial differential equation (PDE) and delay differential equation
(DDE) techniques. Recent Examples of Functional Analysis in
Biology, Electromagnetics, Materials, and MechanicsThrough numerous
application examples, the book illustrates the role that functional
analysis-a classical subject-continues to play in the rigorous
formulation of modern applied areas. The text covers common
examples, such as thermal diffusion, transport in tissue, and beam
vibration, as well as less traditional ones, including HIV models,
uncertainty in noncooperative games, structured population models,
electromagnetics in materials, delay systems, and PDEs in control
and inverse problems. For some applications, computational aspects
are discussed since many problems necessitate a numerical approach.
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