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© 2008

Optimization and Control of Bilinear Systems

Theory, Algorithms, and Applications

Benefits

  • 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

Book

Part of the Springer Optimization and Its Applications book series (SOIA, volume 11)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 1-64
  3. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 65-91
  4. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 93-138
  5. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 139-176
  6. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 177-206
  7. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 207-260
  8. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 261-312
  9. Panos M. Pardalos, Vitaliy Yatsenko
    Pages 313-351
  10. Back Matter
    Pages 353-370

About this book

Introduction

The purpose of this book is to acquaint the reader with the developments in bilinear systems theory and its applications. Bilinear systems can be used to represent a wide range of physical, chemical, biological, and social systems, as well as manufacturing processes, which cannot be effectively modeled under the assumption of linearity. This book provides a unified approach for the identification and control of nonlinear complex objects that can be transformed into bilinear systems, with a focus on the control of open physical processes functioning in a non-equilibrium mode.

The material is intended for graduate students, researchers, and specialists engaged in the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting levitation, physical information science, mathematics, and engineering.

Keywords

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

Authors and affiliations

  1. 1.Department of Industrial and SystemsUniversity of FloridaGainesvilleU.S.A.
  2. 2.Institute of Space ResearchNASUKyivUkraine

About the authors

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.

Bibliographic information

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