Research Catalog

Title

Optimization and control of bilinear systems : theory, algorithms, and applications / by Panos M. Pardalos, Vitaliy Yatsenko.

Author

Pardalos, P. M. (Panos M.), 1954-

Publication

New York : Springer, ©2008.

Items in the Library & Off-site

Details

Additional Authors

Yatsenko, Vitaliy.

Description

xxvi, 370 pages : illustrations; 25 cm

Summary

"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."--Jacket.

Series Statement

Springer optimization and its applications ; v. 11

Uniform Title

Springer optimization and its applications ; v. 11.

Subject

• Bilinear forms
• Nonlinear systems
• Mathematical optimization
• Bilineares System
• Optimierung

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. System-theoretical description of open physical processes -- Reduction of nonlinear control systems to bilinear realization -- Global bilinearization of nonlinear systems -- Identification of bilinear control systems -- Bilinear and nonlinear realizations of input-output maps -- Controllability of bilinear systems -- Observability of systems on Lie groups -- Invertibility of control systems -- Invertibility of discrete bilinear systems -- Versal models and bilinrar systems -- 2. Control of bilinear systems -- Optimal control of bilinear systems -- Stability of bilinear systems -- Adaptive control of bilinear systems -- 3. Bilinear systems and nonlinear estimation theory -- Nonlinear dynamical systems and adaptive filters -- Optimal estimation of signal parameters using bilinear observations -- Bilinear lattices and nonlinear estimation theory -- 4. Control of dynamical processes and geometrical structures -- Geometric structures -- Lie groups and Yang-Mills fields -- Control of multiagent systems and Yang-Mills representation -- Dynamic systems, information, and fiber bundles -- Fiber bundles, multiple agents, and observability -- 5. Superconducting levitation and bilinear systems -- Stability and levitation -- Dynamics of magnetically levitated systems -- Controlled levitation and bilinear dynamics -- Nonlinear dynamics and chaos -- 6. Optimization and control of quantum-mechanical processes -- Control of quantum systems -- Simulation of quantum control systems -- Representation of the interaction -- The bellman principle and quantum systems -- Classical and quantum controlled lattices: self-organization, optimization and biomedical applications -- 7. Modeling and global optimization in biomolecular systems -- Control dynamics and photosynthetic centers -- Bilinear models of biological membranes -- Intelligent biosensors -- 8. Modeling and analysis of bilinear systems -- Global reconstructing of models -- Nonlinear dynamics of sea clutter and detection of small targets -- Glocal reconstruction and biomedical applications -- Global optimization approaches to reconstruction of dynamical systems related to epileptic seizures -- Stochastic and deterministic synamics in electroetinograms.

ISBN

• 9780387736686
• 0387736689
• 0387736697
• 9780387736693

LCCN

9780387736686

OCLC

• ocn173718700
• 173718700
• SCSB-9182446

Owning Institutions

Princeton University Library