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Titlebook: Non-Local Methods for Pendulum-Like Feedback Systems; Gennadij A. Leonov,Volker Reitmann,Vera B. Smirnov Textbook 1992 Springer Fachmedien

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书目名称Non-Local Methods for Pendulum-Like Feedback Systems
编辑Gennadij A. Leonov,Volker Reitmann,Vera B. Smirnov
视频video
丛书名称Teubner-Texte zur Mathematik
图书封面Titlebook: Non-Local Methods for Pendulum-Like Feedback Systems;  Gennadij A. Leonov,Volker Reitmann,Vera B. Smirnov Textbook 1992 Springer Fachmedien
出版日期Textbook 1992
关键词Bifurkation; Maschine; Phase; Stabilität
版次1
doihttps://doi.org/10.1007/978-3-663-12261-6
isbn_softcover978-3-663-12262-3
isbn_ebook978-3-663-12261-6Series ISSN 0138-502X
issn_series 0138-502X
copyrightSpringer Fachmedien Wiesbaden 1992
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Integro-Differential Equations,s such as the Bakaev-Guzh technique and non-local reduction for the global behavior investigation of functional-differential equations. As in the the ordinary differential equation case we will use auxiliary Lyapunov functionals of the Popov type. The material of this chapter is due to [100, 102, 101, 103].
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Pendulum-Like Systems,her-dimensional pendulum-like systems and their canonical forms, which are of considerable use in studying, by frequency-domain methods, the global behavior of such systems. We show that Lyapunov functions constructed as quadratic forms are not applicable in a standard way for investigating the glob
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The Bakaev-Guzh Technique,of factor-manifolds. Our factor-manifolds are non-compact. If we want to investigate the convergence theory on these manifolds we have to give additional conditions which ensure that Lyapunov functions are bounded from below.
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Circular Solutions and Cycles,rgence we provide theorems which ensure the existence of circular solutions and of cycles of various types. The proofs are based upon the construction of Poincaré maps which map convex and compact sets into itself and upon the use of Brouwer’s fixed-point theorem.
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