A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering
Published on 18. June 2012
280 pages
978-1-040-19271-9 (ISBN)
Description
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
Reviews / Votes
"The book under review has the valuable advantage of being of interest to both mathematicians and engineers. ... appropriate tools are carefully introduced and discussed in detail, and they are readily applied to practical situations related to the models derived from the generic examples. The main thrust of the book consists of those parts and topics of functional analysis that are fundamental to rigorous discussions of practical differential equations and delay systems as they arise in diverse applications and in particular in control and estimation."-Larbi Berrahmoune, Mathematical Reviews, May 2013
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
File size
0,81 MB
ISBN-13
978-1-040-19271-9 (9781040192719)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
H.T. Banks
A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering
Book
09/2018
1st Edition
CRC Press
€93.90
Shipment within 10-20 days
H.T. Banks
A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering
Book
06/2012
1st Edition
Chapman & Hall/CRC
€165.50
Shipment within 15-20 days
Person
H.T. Banks is a Distinguished University Professor and Drexel Professor of Mathematics at North Carolina State University, where he is also the director of the Center for Research in Scientific Computation and co-director of the Center for Quantitative Sciences in Biomedicine. He currently serves on the editorial boards of 14 journals and has published over 425 papers in applied mathematics and engineering journals. A fellow of the IEEE, IoP, SIAM, and AAAS, Dr. Banks has received numerous honors, including the W.T. and Idalia Reid Prize in Applied Mathematics from SIAM, the Lord Robert May Prize from the Journal of Biological Dynamics, and Best Paper Awards from the ASME and ACS.
Content
Introduction to Functional Analysis in Applications. Semigroups and Infinitesimal Generators. Generators. Adjoint Operators and Dual Spaces. Gelfand Triple, Sesquilinear Forms, and Lax-Milgram. Analytic Semigroups. Abstract Cauchy Problems. General Second-Order Systems. Weak Formulations for Second-Order Systems. Inverse or Parameter Estimation Problems. "Weak" or "Variational Form". Finite Element Approximations and the Trotter-Kato Theorems. Delay Systems: Linear and Nonlinear. Weak* Convergence and the Prohorov Metric in Inverse Problems. The Prohorov Metric in Optimization and Optimal Design Problems. Control Theory for Distributed Parameter Systems. Families of Approximate Control Problems. References. Index.
