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Optimization Methods and Applications

  • Xiaoqi Yang
  • Kok Lay Teo
  • Lou Caccetta

Part of the Applied Optimization book series (APOP, volume 52)

Table of contents

  1. Front Matter
    Pages i-xxxvii
  2. Optimal Control

  3. Optimization Methods

    1. Front Matter
      Pages 165-165
    2. E. D. Andersen, J. E. Mitchell, C. Roos, T. Terlaky
      Pages 167-190
    3. Louis Caccetta, Araya Kulanoot
      Pages 191-217
    4. X. Cai, D. Sha, C. K. Wong
      Pages 219-246
    5. Paul Kang-Hoh Phua, Daohua Ming, Weiguo Fan, Yan Zhang
      Pages 279-293
    6. Xin Min Yang, Kok Lay Teo, Xiaoqi Yang
      Pages 295-306
  4. Optimization Applications

    1. Front Matter
      Pages 307-307
    2. Mattias Dahl, Ingvar Claesson, Sven Nordebo, Sven Nordholm
      Pages 309-319
    3. H. H. Dam, Kok Lay Teo, Yanqun Liu, S. Nordebo
      Pages 321-330
    4. Mohan Krishnamoorthy, Andreas T. Ernst
      Pages 343-368
  5. Back Matter
    Pages 413-414

About this book

Introduction

This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non­ linear optimization and optimization applications. They are mainly the im­ proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com­ putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti­ mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con­ trol problem.

Keywords

Markov algorithm algorithms filter global optimization gradient descent linear optimization model nonlinear optimization optimization programming scheduling

Editors and affiliations

  • Xiaoqi Yang
    • 1
  • Kok Lay Teo
    • 1
  • Lou Caccetta
    • 2
  1. 1.Department of Applied MathematicsHong Kong Polytechnic UniversityHong KongChina
  2. 2.School of Mathematics and StatisticsCurtin University of TechnologyAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3333-4
  • Copyright Information Springer-Verlag US 2001
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4850-2
  • Online ISBN 978-1-4757-3333-4
  • Series Print ISSN 1384-6485
  • Buy this book on publisher's site