Theory and Application of Liapunov's Direct Method

Wolfgang Hahn

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English

Dover Publications Inc.
01 May 2019

Mathematics & Sciences; Applied mathematics

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.

By: Wolfgang Hahn
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 230mm, Width: 152mm, Spine: 10mm
Weight: 270g
ISBN: 9780486833606
ISBN 10: 0486833607
Pages: 192
Publication Date: 01 May 2019
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Unspecified

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