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2021 | OriginalPaper | Chapter

2. Stability: Basic Concepts and Linear Stability

Author : Karl Dietrich von Ellenrieder

Published in: Control of Marine Vehicles

Publisher: Springer International Publishing

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Abstract

Basic stability concepts and methods for characterizing the stability of linear time invariant dynamical systems are presented, including phase plane analysis, bounded input bounded output stability and Routh’s Stability Criterion.

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Footnotes
1
A transfer function is strictly proper when the degree of the numerator polynomial is less than the degree of the denominator polynomial.
 
2
A transfer function is proper when the degree of the numerator polynomial does not exceed the degree of the denominator polynomial. A transfer function is strictly proper when the degree of the numerator polynomial is less than the degree of the denominator polynomial.
 
Literature
1.
Faltinsen, O.M.: Hydrodynamics of High-speed Marine Vehicles. Cambridge University Press, Cambridge (2005)
2.
Khalil, H.K.: Nonlinear Systems, 3rd edn. Prentice Hall Englewood Cliffs, New Jersey (2002)
3.
Perry, A.E., Chong, M.S.: A description of eddying motions and flow patterns using critical-point concepts. Annu. Rev. Fluid Mech. 19, 125–155 (1987)CrossRef
4.
Qiu, L., Zhou, K.: Introduction to Feedback Control. Prentice Hall Englewood Cliffs, New Jersey (2009)
5.
Slotine, J.-J.E., Li, W.: Applied Nonlinear Control. Prentice-Hall Englewood Cliffs, New Jersey (1991)
6.
SNAME. Nomenclature for treating the motion of a submerged body through a fluid: Report of the American Towing Tank Conference. Technical and Research Bulletin 1–5, Society of Naval Architects and Marine Engineers (1950)
7.
Strogatz, S.H.: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, 2nd edn. Westview Press, Boulder (2014)
Metadata
Title
Stability: Basic Concepts and Linear Stability
Author
Karl Dietrich von Ellenrieder
Copyright Year
2021
Book
Control of Marine Vehicles

Print ISBN: 978-3-030-75020-6

Electronic ISBN: 978-3-030-75021-3

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-75021-3_2

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