Optimization and Control of Bilinear Systems Theory, Algorithms, and
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 manufacturin
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AND I TS
A PPLICATIONS
O P T I M I Z AT I O N A N D C O N T RO L O F B I L I N E A R S YS T E M S
T h e o r y, A l g o r i t h m s , a n d Ap p l i c a t i o n s EDITED BY PA N O S M . PA R D A L O S V I TA L I Y YAT S E N K O
OPTIMIZATION AND CONTROL OF BILINEAR SYSTEMS
Springer Optimization and Its Applications VOLUME 11 Managing Editor Panos M. Pardalos (University of Florida) EditorāCombinatorial Optimization Ding-Zhu Du (University of Texas at Dallas) Advisory Board J. Birge (University of Chicago) C.A. Floudas (Princeton University) F. Giannessi (University of Pisa) H.D. Sherali (Virginia Polytechnic and State University) T. Terlaky (McMaster University) Y. Ye (Stanford University)
Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The series Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multiobjective programming, description of software packages, approximation techniques and heuristic approaches.
OPTIMIZATION AND CONTROL OF BILINEAR SYSTEMS Theory, Algorithms, and Applications By PANOS M. PARDALOS University of Florida, Gainesville, FL VITALIY YATSENKO Space Research Institute of NASU-NASU, Kyiv, Ukraine
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Vitaliy Yatsenko Space Research Institute of NASU-NASU Glushkov Avenue, 40 Kyiv 03680 Ukraine [email protected]
Panos M. Pardalos Department of Industrial and Systems Engineering University of Florida 303 Weil Hall P.O.Box 116595 Gainesville FL 32611-6595 USA [email protected]
ISBN: 978-0-387-73668-6 DOI: 10.1007/978-0-387- 73669-3
e-ISBN: 978-0-387-73669-3
Library of Congress Control Number: 2007934549 A M S Subject Classiļ¬cations : 93C10, 93B29, 93B52, 93E10, 81P68 c 2008 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbi
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