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