A functional analysis framework for modeling, estimation and control in science and engineering /

The result of lecture notes from courses the author has taught in applied functional analysis beginning in the late 1980s through the present, the choices of topics covered here are not purported to be comprehensive and even border on the eclectic. In contrast to classical PDE techniques, functional...

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Bibliographic Details
Main Author:	Banks, H. Thomas (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, Fla. : CRC Press, 2012.
Subjects:	Engineering > Mathematical models. Functional analysis. Science > Mathematical models. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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 problems
15. The Prohorov metric in optimization and optimal design problems
16. Control theory for distributed parameter systems
17. Families of approximate control problems.