Theory and Application of Liapunov's Direct Method
eBook - ePub

Theory and Application of Liapunov's Direct Method

  1. 192 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Theory and Application of Liapunov's Direct Method

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Table of contents
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About This Book

The groundbreaking work of Russian mathematician A. M. Liapunov (1857–1918) on the stability of dynamical systems was overlooked for decades because of political turmoil. During the Cold War, when it was discovered that his method was applicable to the stability of aerospace guidance systems, interest in his research was rekindled. It has remained high ever since.
This monograph on both the theory and applications of Liapunov's direct method reflects the work of a period when the theory had been studied seriously for some time andreached a degree of completeness and sophistication. It remains of interest to applied mathematicians in many areas. Topics include applications of the stability theorems to concrete problems, the converse of the main theorems, Liapunov functions with certain properties of rate of change, the sensitivity of the stability behavior to perturbations, the critical cases, and generalizations of the concept of stability.

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Yes, you can access Theory and Application of Liapunov's Direct Method by Wolfgang Hahn in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Dover Publications
Year
2019
ISBN
9780486839868
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. 1 Fundamental Concepts
  6. 2 Sufficient Conditions for Stability or Instability of the Equilibrium
  7. 3 Applications of the Stability Theorems to Concrete Problems
  8. 4 The Converse of the Main Theorems
  9. 5 Liapunov Functions with Certain Properties of Rate of Change
  10. 6 The Sensitivity of the Stability Behavior to Perturbations
  11. 7 The Critical Cases
  12. 8 Generalizations of the Concept of Stability
  13. Bibliography
  14. Author Index
  15. Subject Index