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Saleh, A., Hasan, M., Darwish, N. (2010). THE MIKHAILOV STABILITY CRITERION REVISITED. JES. Journal of Engineering Sciences, 38(No 1), 195-207. doi: 10.21608/jesaun.2010.123808
Awad I. Saleh; Mohamed M. M. Hasan; Noha M. M. Darwish. "THE MIKHAILOV STABILITY CRITERION REVISITED". JES. Journal of Engineering Sciences, 38, No 1, 2010, 195-207. doi: 10.21608/jesaun.2010.123808
Saleh, A., Hasan, M., Darwish, N. (2010). 'THE MIKHAILOV STABILITY CRITERION REVISITED', JES. Journal of Engineering Sciences, 38(No 1), pp. 195-207. doi: 10.21608/jesaun.2010.123808
Saleh, A., Hasan, M., Darwish, N. THE MIKHAILOV STABILITY CRITERION REVISITED. JES. Journal of Engineering Sciences, 2010; 38(No 1): 195-207. doi: 10.21608/jesaun.2010.123808

THE MIKHAILOV STABILITY CRITERION REVISITED

Article 12, Volume 38, No 1, January and February 2010, Page 195-207  XML PDF (268.79 K)
Document Type: Research Paper
DOI: 10.21608/jesaun.2010.123808
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Authors
Awad I. Saleh; Mohamed M. M. Hasan; Noha M. M. Darwish
Department of Electrical Engineering, Faculty of Engineering, Assiut University, Assiut, Egypt.
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.
Main Subjects
Electrical Engineering, Computer Engineering and Electrical power and machines engineering.
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