The aim of this book is to acquaint the reader with 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.

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 will be of interest to graduate students, researchers, and specialists engaged in the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science.

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 Includes supplementary material: sn.pub/extras

Autorentext
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.

Inhalt
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.