Theory and Application of Liapunov's Direct Method (Dover Books on Mathematics)
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Theory and Application of Liapunov's Direct Method (Dover Books...
Book Details
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Author: Wolfgang Hahn
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Publisher: Dover
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Edition: Translation
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Binding: Paperback
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Number of Pages: 192
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Release Date: 26-04-2019
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ISBN: 9780486833606
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Languages: English
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Package Dimensions: 9.0 x 5.9 x 0.4 inches
About the Book
"Liapunov's Direct Method and Stability of Dynamical Systems" by Wolfgang Hahn offers a deep dive into the groundbreaking work of A. M. Liapunov, a Russian mathematician whose research on the stability of dynamical systems gained renewed interest in the Cold War era. His methods were eventually recognized for their application in the stability of aerospace guidance systems, and have since influenced a wide range of fields.
This monograph presents a comprehensive examination of both the theory and applications of Liapunov’s direct method, a topic that was previously overlooked due to political turmoil. The book covers the extensive development of this theory, reflecting a period when it had reached significant completeness and sophistication. Ideal for applied mathematicians, this book explores various aspects of system stability, including:
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Applications of stability theorems to real-world problems
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The converse of main theorems
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The characteristics of Liapunov functions related to rate of change
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Sensitivity of stability behavior to perturbations
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Examination of critical cases and the generalizations of stability concepts
A key text for those in mathematics, physics, and engineering, this book remains essential reading for anyone interested in the advanced study of dynamical systems and stability theory.
