Application of the second method of lyapunov to the proof of the markov stability criterion

B. D.O. Anderson

doi:10.1080/00207176708921778

Application of the second method of lyapunov to the proof of the markov stability criterion

B. D.O. Anderson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

The paper indicates a number of approaches to checking the roots of a polynomial to determine whether they have negative real parts. Interrelation between the various approaches are discussed, and the stability criterion in terms of Markov determinants is related to the Hermite criterion with the aid of Lyapunov theory.

Original language	English
Pages (from-to)	473-482
Number of pages	10
Journal	International Journal of Control
Volume	5
Issue number	5
DOIs	https://doi.org/10.1080/00207176708921778
Publication status	Published - May 1967
Externally published	Yes

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abstract = "The paper indicates a number of approaches to checking the roots of a polynomial to determine whether they have negative real parts. Interrelation between the various approaches are discussed, and the stability criterion in terms of Markov determinants is related to the Hermite criterion with the aid of Lyapunov theory.",

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Application of the second method of lyapunov to the proof of the markov stability criterion

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