Optimal Control of Switched Systems Arising in Fermentation Processes

The book presents, in a systematic manner, the optimal controls under different mathematical models in fermentation processes. Variant mathematical models – i.e., those for multistage systems; switched autonomous systems; time-dependent and state-dependen

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Chongyang Liu Zhaohua Gong

Optimal Control of Switched Systems Arising in Fermentation Processes

Springer Optimization and Its Applications VOLUME 97

Managing Editor Panos M. Pardalos (University of Florida) Editor–Combinatorial 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 (Lehigh 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 Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository work 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.

More information about this series at http://www.springer.com/series/7393

Chongyang Liu • Zhaohua Gong

Optimal Control of Switched Systems Arising in Fermentation Processes

Chongyang Liu Zhaohua Gong Mathematics and Information Science Shandong Institute of Business and Technology Yantai, Shandong, China

ISSN 1931-6828 ISSN 1931-6836 (electronic) ISBN 978-3-662-43792-6 ISBN 978-3-662-43793-3 (eBook) DOI 10.1007/978-3-662-43793-3 Springer Heidelberg New York Dordrecht London Jointly published with Tsinghua University Press, Beijing ISBN: 978-7-302-37332-2 Tsinghua University Press, Beijing Library of Congress Control Number: 2014949499 Mathematics Subject Classification: 49J15, 49J21, 65K10, 49M37, 92C42 © Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg 2014 This work is subject to copyright. All rights are reserved by the Publishers, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifical