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A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering.

Author: H T Banks
Publisher: Hoboken : CRC Press, 2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
A Modern Framework Based on Time-Tested Material A 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Banks, H.T.
A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering.
Hoboken : CRC Press, ©2012
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: H T Banks
ISBN: 9781439880845 1439880840
OCLC Number: 798535753
Description: 1 online resource (278 pages)
Contents: Front Cover; Contents; Preface; Acknowledgments; 1. Introduction to Functional Analysis in Applications; 2. Semigroups and Infinitesimal Generators; 3. Generators; 4. Adjoint Operators and Dual Spaces; 5. Gelfand Triple, Sesquilinear Forms, and Lax-Milgram; 6. Analytic Semigroups; 7. Abstract Cauchy Problems; 8. General Second-Order Systems; 9. Weak Formulations for Second-Order Systems; 10. Inverse or Parameter Estimation Problems; 11. ""Weak"" or ""Variational Form""; 12. Finite Element Approximations and the Trotter-Kato Theorems; 13. Delay Systems: Linear and Nonlinear. 14. Weak* Convergence and the Prohorov Metric in Inverse Problems15. The Prohorov Metric in Optimization and Optimal Design Problems; 16. Control Theory for Distributed Parameter Systems; 17. Families of Approximate Control Problems; References.

Abstract:

A Modern Framework Based on Time-Tested Material A 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 Mechanics Through numerous application exa.

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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 Read more...

 
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