DocumentCode
2903457
Title
Routh, Hurwitz, Bieler and Kharitonov: A unified approach using the Schwarz form
Author
Shorten, Robert ; Narendra, K.S.
Author_Institution
IBM Res. Ireland, Dublin, Ireland
fYear
2013
fDate
17-19 June 2013
Firstpage
1864
Lastpage
1869
Abstract
The equivalence of the well known Routh and Hurwitz criteria and the conditions derived using a quadratic Lyapunov function, were established by Patrick Parks. In this paper it is shown that the basic mathematical framework used by him involving the Schwarz form can be used to derive the same stability conditions in a simple form, and that results due to Bieler and Kharitonov can also be derived in a unified fashion.
Keywords
Lyapunov methods; linear systems; matrix algebra; polynomials; quadratic programming; stability; stability criteria; Bieler criteria; Hurwitz criteria; Kharitonov criteria; Routh criteria; Schwarz form; Schwarz matrix; linear time-invariant system; mathematical framework; quadratic Lyapunov function; stability conditions; Asymptotic stability; Eigenvalues and eigenfunctions; Lyapunov methods; Polynomials; Stability criteria; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2013
Conference_Location
Washington, DC
ISSN
0743-1619
Print_ISBN
978-1-4799-0177-7
Type
conf
DOI
10.1109/ACC.2013.6580107
Filename
6580107
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