Optimization and Control of Bilinear Systems (eBook)
XXVI, 370 Seiten
Springer US (Verlag)
978-0-387-73669-3 (ISBN)
Covers developments in bilinear systems theory
Focuses on the control of open physical processes functioning in a non-equilibrium mode
Emphasis is on three primary disciplines: modern differential geometry, control of dynamical systems, and optimization theory
Includes applications to the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science
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.
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.
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.
Contents 7
Preface 13
Acknowledgments 15
Foreword 16
Notation 17
Introduction 18
SYSTEM-THEORETICAL DESCRIPTION OF OPEN PHYSICAL PROCESSES 22
CONTROL OF BILINEAR SYSTEMS 86
BILINEAR SYSTEMS AND NONLINEAR ESTIMATION THEORY 113
CONTROL OF DYNAMICAL PROCESSES AND GEOMETRICAL STRUCTURES 159
SUPERCONDUCTING LEVITATION AND BILINEAR SYSTEMS 197
OPTIMIZATION AND CONTROL OF QUANTUM- MECHANICAL PROCESSES 227
MODELING AND GLOBAL OPTIMIZATION IN BIOMOLECULAR SYSTEMS 281
MODELING AND ANALYSIS OF BILINEAR SYSTEMS 333
References 372
Index 387
| Erscheint lt. Verlag | 14.3.2010 |
|---|---|
| Reihe/Serie | Springer Optimization and Its Applications | Springer Optimization and Its Applications |
| Zusatzinfo | XXVI, 370 p. 40 illus. |
| Verlagsort | New York |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| Mathematik / Informatik ► Mathematik ► Statistik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Technik ► Bauwesen | |
| Technik ► Maschinenbau | |
| Schlagworte | adaptive estimation techniques • algorithms • bilinear processes • Complexity • Linearity • Nonlinear Control • Optimization • SOIA • Systems Theory |
| ISBN-10 | 0-387-73669-7 / 0387736697 |
| ISBN-13 | 978-0-387-73669-3 / 9780387736693 |
| Haben Sie eine Frage zum Produkt? |
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