H T Banks

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

• Broschiertes Buch

Produktbeschreibung

This work 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 PDE and DDE techniques. He covers many recent applications of functional analysis in HIV models, noncooperative games, structured population models, electromagnetic materials, delay systems, and control and inverse problems. He also addresses computational aspects of select problems/applications.

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Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 280
• Erscheinungstermin: 18. September 2018
• Englisch
• Abmessung: 234mm x 156mm x 15mm
• Gewicht: 399g
• ISBN-13: 9781138374638
• ISBN-10: 1138374636
• Artikelnr.: 55104287

Autorenporträt

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.

Inhaltsangabe

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.