Paperback. The groundbreaking work of Russian mathematician A. M. Liapunov (18571918) 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 and reached 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 generalisations of the concept of stability. AUTHOR: Wolfgang Hahn (191198) was on the faculty of Braunschweig University of Technology in Germany. A. M. Liapunov's work was rediscovered during the Cold War, when it was found applicable to the stability of aerospace guidance systems. This monograph covers both theory and applications. 1963 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Theory and Application of Liapunov's Direct Method (Paperback)
Publisher: Dover Publications Inc., New York
Publication Date: 2019
Language: English
ISBN 10: 0486833607
ISBN 13: 9780486833606
Binding: Paperback
Condition: new

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Synopsis

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 and reached 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.

About the Author

Wolfgang Hahn (1911–98) was on the faculty of Braunschweig University of Technology in Germany.

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