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2015 | OriginalPaper | Chapter

8. Applications to Finite-Dimensional Dynamical Systems

Authors : Anthony N. Michel, Ling Hou, Derong Liu

Published in: Stability of Dynamical Systems

Publisher: Springer International Publishing

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Abstract

We apply the results developed in Chapters 6 and 7 in the qualitative analysis of several important classes of continuous dynamical systems, discrete-time dynamical systems, and discontinuous dynamical systems. We address six specific classes of systems: nonlinear regulator systems; analog Hopfield neural networks and synchronous discrete-time Hopfield neural networks; digital control systems; pulse-width modulated feedback control systems; systems with saturation nonlinearities with an application to digital filters; and linear and nonlinear Hamiltonian systems subjected to persistent and intermittent dissipation.

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previous chapter Finite-Dimensional Dynamical Systems: Specialized Results
next chapter Infinite-Dimensional Dynamical Systems
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Metadata
Title
Applications to Finite-Dimensional Dynamical Systems
Authors
Anthony N. Michel
Ling Hou
Derong Liu
Copyright Year
2015
Book
Stability of Dynamical Systems

Print ISBN: 978-3-319-15274-5

Electronic ISBN: 978-3-319-15275-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-15275-2_8