Necessary and sufficient conditions for the stability of linear parameter-dependent systems

Mohamed A. El-Gebeily; Kamal A.F. Moustafa

doi:10.1080/00207720120350

Necessary and sufficient conditions for the stability of linear parameter-dependent systems

Mohamed A. El-Gebeily, Kamal A.F. Moustafa

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

1 Citation (Scopus)

Abstract

In this paper we discuss the necessary and sufficient conditions for the Hurwitz stability of a linear system whose matrix depends continuously on several parameters. We also give an algorithm based on our derived condition to determine the stability of the system in a finite number of steps. Numerical examples are given to illustrate the results.

Original language	English
Pages (from-to)	931-936
Number of pages	6
Journal	International Journal of Systems Science
Volume	32
Issue number	7
DOIs	https://doi.org/10.1080/00207720120350
Publication status	Published - Jan 1 2001
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications

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10.1080/00207720120350

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abstract = "In this paper we discuss the necessary and sufficient conditions for the Hurwitz stability of a linear system whose matrix depends continuously on several parameters. We also give an algorithm based on our derived condition to determine the stability of the system in a finite number of steps. Numerical examples are given to illustrate the results.",

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AU - Moustafa, Kamal A.F.

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N2 - In this paper we discuss the necessary and sufficient conditions for the Hurwitz stability of a linear system whose matrix depends continuously on several parameters. We also give an algorithm based on our derived condition to determine the stability of the system in a finite number of steps. Numerical examples are given to illustrate the results.

AB - In this paper we discuss the necessary and sufficient conditions for the Hurwitz stability of a linear system whose matrix depends continuously on several parameters. We also give an algorithm based on our derived condition to determine the stability of the system in a finite number of steps. Numerical examples are given to illustrate the results.

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JO - International Journal of Systems Science

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Necessary and sufficient conditions for the stability of linear parameter-dependent systems

Abstract

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