THE MIKHAILOV STABILITY CRITERION REVISITED | ||
| JES. Journal of Engineering Sciences | ||
| Article 12, Volume 38, No 1, January and February 2010, Pages 195-207 PDF (268.79 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.21608/jesaun.2010.123808 | ||
| 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. | ||
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