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Parallel Algorithms for Optimal Control of Large Scale Linear Systems

  • Book
  • © 1993

Overview

Authors:
  1. Zoran Gajić

    1. Department of Electrical and Computer Engineering, Rutgers University, USA

  2. Xuemin Shen

    1. Department of Electrical Engineering, University of Alberta, Edmonton, Canada

Part of the book series: Communications and Control Engineering (CCE)

  • 2724 Accesses

  • 108 Citations

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About this book

Parallel Algorithms for Optimal Control of Large Scale Linear Systems is a comprehensive presentation for both linear and bilinear systems. The parallel algorithms presented in this book are applicable to a wider class of practical systems than those served by traditional methods for large scale singularly perturbed and weakly coupled systems based on the power-series expansion methods. It is intended for scientists and advance graduate students in electrical engineering and computer science who deal with parallel algorithms and control systems, especially large scale systems. The material presented is both comprehensive and unique.

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    1. Introduction

      • Zoran Gajić, Xuemin Shen
      Pages 1-12

  3. Theoretical Concepts

    1. Front Matter

      Pages 13-13
      Download chapter PDF

    2. Linear-Quadratic Control Problems

      • Zoran Gajić, Xuemin Shen
      Pages 15-59

    3. Decoupling Transformations

      • Zoran Gajić, Xuemin Shen
      Pages 61-88

    4. Output Feedback Control

      • Zoran Gajić, Xuemin Shen
      Pages 89-110

    5. Linear Stochastic Systems

      • Zoran Gajić, Xuemin Shen
      Pages 111-157

    6. Open-Loop Optimal Control Problems

      • Zoran Gajić, Xuemin Shen
      Pages 159-192

    7. Exact Decompositions of Algebraic Riccati Equations

      • Zoran Gajić, Xuemin Shen
      Pages 193-211

    8. Differential and Difference Riccati Equations

      • Zoran Gajić, Xuemin Shen
      Pages 213-251

  4. Applications

    1. Front Matter

      Pages 253-253
      Download chapter PDF

    2. Quasi Singularly Perturbed and Weakly Coupled Linear Control Systems

      • Zoran Gajić, Xuemin Shen
      Pages 255-292

    3. Singularly Perturbed Weakly Coupled Linear Control Systems

      • Zoran Gajić, Xuemin Shen
      Pages 293-312

    4. Stochastic Output Feedback of Discrete Systems

      • Zoran Gajić, Xuemin Shen
      Pages 313-342

    5. Applications to Differential Games

      • Zoran Gajić, Xuemin Shen
      Pages 343-362

    6. Recursive Approach to High Gain and Cheap Control Problems

      • Zoran Gajić, Xuemin Shen
      Pages 363-397

    7. Optimal Control of Singularly Perturbed and Weakly Coupled Bilinear Systems

      • Zoran Gajić, Xuemin Shen
      Pages 399-432

  5. Back Matter

    Pages 433-455
    Download chapter PDF
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Authors and Affiliations

  • Department of Electrical and Computer Engineering, Rutgers University, USA

    Zoran Gajić

  • Department of Electrical Engineering, University of Alberta, Edmonton, Canada

    Xuemin Shen

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