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Theory and Application of Liapunov's Direct Method

Theory and Application of Liapunov's Direct Method

By: Wolfgang Hahn

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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.

This Dover edition, first published in 2019, is an unabridged republication of the work originally published in the Prentice-Hall International Series in Applied Mathematics by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, in 1963.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486833607
ISBN 139780486833606
Author/EditorWolfgang Hahn
Page Count192
Dimensions6 x 9

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