Optimization and Control of Bilinear Systems

Theory, Algorithms, and Applications
2008. Auflage 2008
ISBN: 978-0-387-73668-6
Verlag: Springer Nature Singapore

Buch, Englisch, Band 11, 370 Seiten, Format (B × H): 163 mm x 244 mm, Gewicht: 1620 g

Reihe: Springer Optimization and Its Applications

The present book is based on results of scienti?c investigations and on the materials of special courses, o?ered for graduate and undergraduate students. The purpose of this book is to acquaint the reader with the developments in bilinear systems theory and its applications. Particular attention is paid to control of open physical processes functioning in a nonequilibrium mode. The text consists of eight chapters. Chapter 1 is concerned with the problems of systems analysis of bilinear processes. Chapter 2 solves the problem of optimal control of bilinear systems on the basis of di?er- tial geometry methods. Chapter 3 deals with the progress made in an adaptive estimation technique. Chapter 4 is devoted to the application of the Yang–Mills ?elds to investigation of nonlinear control problems. Chapter 5 considers intelligent sensors, used to examine weak signals. This chapter also describes and analyzes bilinear models of intelligent sensing elements. Chapter 6 illustrates control problems of a quantum system. Chapter 7 discusses the problems of control and identi?cation in systems with chaotic dynamics. Finally, Chapter 8 examines the c- trolled processes running in biomolecular systems. This book is directed to students, postgraduate students, and speci- ists engaged in the ?elds of control of physical processes, quantum and molecular computing, biophysics, and physical information science.

Zielgruppe

Research

Autoren/Hrsg.

Pardalos, Panos M

Yatsenko, Vitaliy A

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Biophysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik EDV | Informatik Technische Informatik Quantencomputer, DNA-Computing
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biophysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

System-Theoretical Description of Open Physical Processes.- Control of Bilinear Systems.- Bilinear Systems and Nonlinear Estimation Theory.- Control Of Dynamical Processes And Geometrical Structures.- Superconducting Levitation and Bilinear Systems.- Optimization And Control Of Quantum-Mechanical Processes.- Modeling And Global Optimization In Biomolecular Systems.- Modeling And Analysis Of Bilinear Systems.

Über Autor(innen)

Panos M. Pardalos is one of the leading experts in global optimization and control theory. V. Yatsenko's research is connected with control of bilinear systems, nonlinear estimation, control of quantum systems, and globabl optimization problems. Both Pardalos and Yatsenko have authored numerous publications including books and well-known scientific journals.