Theory and Application of Liapunov's Direct Method (Dover Books on Mathematics) - Tapa blanda

Libro 287 de 303: Dover Books on Mathematics

Hahn, Wolfgang

 
9780486833606: Theory and Application of Liapunov's Direct Method (Dover Books on Mathematics)

Sinopsis

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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Acerca del autor

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

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