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Theory and Application of Liapunov's Direct Method
Contributor(s): Hahn, Wolfgang (Author)

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ISBN: 0486833607     ISBN-13: 9780486833606
Publisher: Dover Publications
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Binding Type: Paperback - See All Available Formats & Editions
Published: March 2019
* Out of Print *

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Additional Information
BISAC Categories:
- Mathematics | Applied
- Technology & Engineering | Aeronautics & Astronautics
- Mathematics | Differential Equations - General
Dewey: 515.39
LCCN: 2018045874
Series: Dover Books on Mathematics
Physical Information: 0.5" H x 5.9" W x 8.9" L (0.60 lbs) 192 pages
Features: Bibliography, Index, Price on Product
 
Descriptions, Reviews, Etc.
Publisher Description:
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.
 
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