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123808

THE MIKHAILOV STABILITY CRITERION REVISITED

Article

Last updated: 26 Dec 2024

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Subjects

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Tags

Electrical Engineering, Computer Engineering and Electrical power and machines engineering.

Abstract

It is shown that the principle of the argument is the basis for the Mikhailov's stability criterion for linear continuous systems. Mikhailov's criterion states that a real Hurwitz polynomial of degree n satisfies the monotonic phase increase, that is to say the argument of goes through n quadrants as w runs from zero to infinity. In this paper, the generalized Mikhailov criterion where a real polynomial of degree n with no restriction on the roots location is considered. A method based on the argument is used to determine the number of roots in each half of the s-plane as well as on the imaginary axis if any.

DOI

10.21608/jesaun.2010.123808

Authors

First Name

Awad I.

Last Name

Saleh

MiddleName

-

Affiliation

Department of Electrical Engineering, Faculty of Engineering, Assiut University, Assiut, Egypt.

Email

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City

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Orcid

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First Name

Mohamed M. M.

Last Name

Hasan

MiddleName

-

Affiliation

Department of Electrical Engineering, Faculty of Engineering, Assiut University, Assiut, Egypt.

Email

-

City

-

Orcid

-

First Name

Noha M. M.

Last Name

Darwish

MiddleName

-

Affiliation

Department of Electrical Engineering, Faculty of Engineering, Assiut University, Assiut, Egypt.

Email

-

City

-

Orcid

-

Volume

38

Article Issue

No 1

Related Issue

16624

Issue Date

2010-01-01

Receive Date

2009-10-25

Publish Date

2010-01-01

Page Start

195

Page End

207

Print ISSN

1687-0530

Online ISSN

2356-8550

Article File

JESAUN_Volume 38_Issue No 1_Pages 195-207.pdf

PDF . 275.2kB

Link

https://jesaun.journals.ekb.eg/article_123808.html

Detail API

https://jesaun.journals.ekb.eg/service?article_code=123808

Order

12

Type

Research Paper

Type Code

1,438

Publication Type

Journal

Publication Title

JES. Journal of Engineering Sciences

Publication Link

https://jesaun.journals.ekb.eg/

MainTitle

THE MIKHAILOV STABILITY CRITERION REVISITED

Details

Type

Article

Created At

23 Jan 2023