Nicht aus der Schweiz? Besuchen Sie lehmanns.de
A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering - H.T. Banks

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

(Autor)

Buch | Softcover
280 Seiten
2018
CRC Press (Verlag)
978-1-138-37463-8 (ISBN)
CHF 102,95 inkl. MwSt
  • Versand in 15-20 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken
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.

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.

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.

Erscheinungsdatum
Zusatzinfo 3 Tables, black and white; 9 Illustrations, black and white
Verlagsort London
Sprache englisch
Maße 156 x 234 mm
Gewicht 453 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Umwelttechnik / Biotechnologie
ISBN-10 1-138-37463-6 / 1138374636
ISBN-13 978-1-138-37463-8 / 9781138374638
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch (2022)
Springer Spektrum (Verlag)
CHF 109,95