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9781904275015

Control and Optimal Control Theories with Applications

by ;
  • ISBN13:

    9781904275015

  • ISBN10:

    190427501X

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 2004-12-01
  • Publisher: Elsevier Science
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Summary

This sound introduction to classical and modern control theory concentrates on fundamental concepts. Employing the minimum of mathematical elaboration, it investigates the many applications of control theory to varied and important present-day problems, e.g. economic growth, resource depletion, disease epidemics, exploited population, and rocket trajectories. An original feature is the amount of space devoted to the important and fascinating subject of optimal control. The work is divided into two parts. Part 1 deals with the control of linear time-continuous systems, using both transfer function and state-space methods. The ideas of controllability, observability and minimality are discussed in comprehensible fashion. Part 2 introduces the calculus of variations, followed by analysis of continuous optimal control problems. Each topic is individually introduced and carefully explained with illustrative examples and exercises at the end of each chapter to help and test the reader's understanding. Solutions are provided at the end of the book.

Author Biography

David Burghes is Professor of Mathematics Education at the University of Exeter.

Table of Contents

System dynamics and differential equations
Transfer functions and block diagrams
State-space formulation
Transient and steady state response analysis
Stability
Controllability and observability
Multivariable feedback and pole location
Introduction to optimal control
Variational calculus
Optimal control with unbounded continuous controls
Bang-bang control
Applications of optimal control
Dynamic programming
Partial fractions
Notes on determinants and matrices
Table of Contents provided by Blackwell. All Rights Reserved.

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