Theory and Application of Liapunov's Direct Method (Paperback)

Wolfgang Hahn

ISBN 10: 0486833607 / ISBN 13: 9780486833606

Editore: Dover Publications Inc., New York, 2019

Riguardo questo articolo

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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9780486833606

Dati bibliografici

• Titolo: Theory and Application of Liapunov's Direct Method (Paperback)
• Editore: Dover Publications Inc., New York
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 0486833607
• ISBN 13: 9780486833606
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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