Sensitivity Analysis in Linear Systems

  • Assem┬áDeif

Table of contents

  1. Front Matter
    Pages I-XII
  2. Assem Deif
    Pages 1-43
  3. Assem Deif
    Pages 44-84
  4. Assem Deif
    Pages 85-123
  5. Assem Deif
    Pages 124-166
  6. Assem Deif
    Pages 167-209
  7. Back Matter
    Pages 210-224

About this book

Introduction

A text surveying perturbation techniques and sensitivity analysis of linear systems is an ambitious undertaking, considering the lack of basic comprehensive texts on the subject. A wide-ranging and global coverage of the topic is as yet missing, despite the existence of numerous monographs dealing with specific topics but generally of use to only a narrow category of people. In fact, most works approach this subject from the numerical analysis point of view. Indeed, researchers in this field have been most concerned with this topic, although engineers and scholars in all fields may find it equally interesting. One can state, without great exaggeration, that a great deal of engineering work is devoted to testing systems' sensitivity to changes in design parameters. As a rule, high-sensitivity elements are those which should be designed with utmost care. On the other hand, as the mathematical modelling serving for the design process is usually idealized and often inaccurately formulated, some unforeseen alterations may cause the system to behave in a slightly different manner. Sensitivity analysis can help the engineer innovate ways to minimize such system discrepancy, since it starts from the assumption of such a discrepancy between the ideal and the actual system.

Keywords

calculus circuit design linear optimization modeling network numerical analysis programming regression

Authors and affiliations

  • Assem┬áDeif
    • 1
  1. 1.Department of Engineering MathematicsCairo UniversityGizaEgypt

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-82739-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-82741-9
  • Online ISBN 978-3-642-82739-6
  • About this book