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Optimization Methods and Applications

  • Book
  • © 2001

Overview

Editors:
  1. Xiaoqi Yang

    1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China

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  2. Kok Lay Teo

    1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China

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    You can also search for this editor in PubMed   Google Scholar

  3. Lou Caccetta

    1. School of Mathematics and Statistics, Curtin University of Technology, Australia

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxxvii
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  2. Optimal Control

    1. Front Matter

      Pages 1-1
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    2. Practical Stability of Impulsive Delay Differential Equations and Applications to Control Problems

      • George Ballinger, Xinzhi Liu
      Pages 3-21

    3. A Review of Ill-Conditioning and Regularization in Optimal Control Computation

      • Francis Benyah, Les S. Jennings
      Pages 23-44

    4. Worst-Case Optimal Regulation of Linear Systems in the Presence of Structured Perturbations

      • Saroj K. Biswas, M. Bala Subrahmanyam
      Pages 45-64

    5. True Proportional Navigation System with Acceleration Saturation Constraint

      • Cheng-Chew Lim, Mingyan Li
      Pages 65-80

    6. Evaluation of Penalty Functions for Optimal Control

      • Rein Luus, Wichaya Mekarapiruk, Colin Storey
      Pages 81-103

    7. On the Optimal Control Systems with Multiple Controllers

      • Katsumi Moriwaki
      Pages 105-124

    8. Multilevel Optimization of Optimal Control Problems

      • Volker Rehbock
      Pages 125-138

    9. Modified Direct Gradient Descent Control of Nonlinear Systems

      • K. Shimizu, S. Ito, K. Otsuka
      Pages 139-149

    10. Computation of Feedback Control for Infinite Time Optimal Control Problems

      • K. H. Wong, G. Peter
      Pages 151-163

  3. Optimization Methods

    1. Front Matter

      Pages 165-165
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    2. A Homogenized Cutting Plane Method to Solve the Convex Feasibility Problem

      • E. D. Andersen, J. E. Mitchell, C. Roos, T. Terlaky
      Pages 167-190

    3. Algorithms for Some Hard Knapsack Problems

      • Louis Caccetta, Araya Kulanoot
      Pages 191-217

    4. Non-Static Network Optimization Problems: A Survey

      • X. Cai, D. Sha, C. K. Wong
      Pages 219-246

    5. Asymptotic Rates of Convergence of SQP-Type Methods of Feasible Directions

      • Michael M. Kostreva, Xibin Chen
      Pages 247-265

    6. Nonlinear Lagrangian Methods in Constrained Nonlinear Optimization

      • Duan Li, Xiaolin Sun
      Pages 267-277

    7. Parallel Algorithms for Solving Large-Scale Nonlinear Optimization Problems

      • Paul Kang-Hoh Phua, Daohua Ming, Weiguo Fan, Yan Zhang
      Pages 279-293

    8. Second Order Strict Converse Duality in Nonlinear Fractional Programming

      • Xin Min Yang, Kok Lay Teo, Xiaoqi Yang
      Pages 295-306

  4. Optimization Applications

    1. Front Matter

      Pages 307-307
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China

    Xiaoqi Yang, Kok Lay Teo

  • School of Mathematics and Statistics, Curtin University of Technology, Australia

    Lou Caccetta

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