Optimization and Control of Bilinear Systems

1. Front Matter

   Pages i-xxvi

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2. System-Theoretical Description of Open Physical Processes

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 1-64

3. Control of Bilinear Systems

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 65-91

4. Bilinear Systems and Nonlinear Estimation Theory

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 93-138

5. Control Of Dynamical Processes And Geometrical Structures

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 139-176

6. Superconducting Levitation and Bilinear Systems

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 177-206

7. Optimization And Control Of Quantum-Mechanical Processes

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 207-260

8. Modeling And Global Optimization In Biomolecular Systems

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 261-312

9. Modeling And Analysis Of Bilinear Systems

   • Panos M. Pardalos, Vitaliy Yatsenko

   Pages 313-351

10. Back Matter

    Pages 353-370

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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.

• SOIA
• adaptive estimation techniques
• algorithms
• bilinear processes
• complexity
• linearity
• nonlinear control
• optimization
• systems theory

• Department of Industrial and Systems, University of Florida, Gainesville, U.S.A.

  Panos M. Pardalos

• Institute of Space Research, NASU, Kyiv, Ukraine

  Vitaliy Yatsenko

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.

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