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Lyapunov functions

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Author:Barbashin Evgeny Alexeevich
Cover:softcover
Category:Science & Math
ISBN:978-5-9710-9702-0
Dimensions: 2x14x21cm


This book presents a course of lectures on the Lyapunov function method, delivered by the author at the Belarusian Order of the Red Banner of Labor V.I. Lenin University (now Belarusian State University). The main focus is on methods for constructing Lyapunov functions for nonlinear systems. The book covers methods for estimating the domain of attraction, solution estimates, regulation time, and integral quality criteria for regulation. It discusses sufficient criteria for overall asymptotic stability and criteria for absolute stability. A large number of Lyapunov functions for second and third-order nonlinear systems are provided. The case where nonlinearities depend on two coordinates of the phase space points is considered. The book also explores the problem of constructing vector Lyapunov functions for complex systems. Understanding the material requires knowledge of a mathematics course equivalent to the curriculum of technical universities. The book is recommended for anyone interested in specific applications of stability theory.
Author:
Author:Barbashin Evgeny Alexeevich
Cover:
Cover:softcover
Category:
  • Category:Science & Math
Publication language:
Publication Language:Russian
Paper:
Paper:typographic
Dimensions:
Dimensions:21.5x14.5x2.3 cm
Series:
Series:Physical-mathematical heritage
Age restrictions:
Age restrictions:18+
ISBN:
ISBN:978-5-9710-9702-0

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