Stabilization, Optimal and Robust Control

Theory and Applications in Biological and Physical Sciences
1. Auflage. Softcover version of original hardcover Auflage 2008
ISBN: 978-1-84996-790-7
Verlag: Springer

Buch, Englisch, 502 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 785 g

Reihe: Communications and Control Engineering

Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality.

Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail.

The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.

Zielgruppe

Research

Autoren/Hrsg.

Belmiloudi, Aziz

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Naturwissenschaften Biowissenschaften Biowissenschaften
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik

Inhaltsverzeichnis

General Introduction.- General Introduction.- Convex Analysis and Duality Principles.- Convexity and Topology.- A Brief Overview of Sobolev Spaces.- Legendre–Fenchel Transformation and Duality.- Lagrange Duality Theory.- General Results and Concepts on Robust and Optimal Control Theory for Evolutive Systems.- Studied Systems and General Results.- Optimal Control Problems.- Stabilization and Robust Control Problem.- Remarks on Numerical Techniques.- Applications in the Biological and Physical Sciences: Modeling and Stabilization.- Vortex Dynamics in Superconductors and Ginzburg–Landau-type Models.- Multi-scale Modeling of Alloy Solidification and Phase-field Model.- Large-scale Ocean in the Climate System.- Heat Transfer Laws on Temperature Distribution in Biological Tissues.- Lotka–Volterra-type Systems with Logistic Time-varying Delays.- Other Systems.