Damping ratio of polynomials with perturbed coefficients |
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Authors: | Soh CB Berger CS |
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Affiliation: | Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst.; |
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Abstract: | Let a family of polynomials be P(s)=t 0Sn+t1s n-1 . . .+tn where O<α j⩽tj⩽β. Recently, C.B. Soh and C.S. Berger have shown that a necessary and sufficient condition for this equation to have a damping ratio of φ is that the 2n+1 polynomials in it which have tk=αk or tk=βk have a damping ratio of φ. The authors derive a more powerful result requiring only eight polynomials to be Hurwitz for the equation to have a damping ratio of φ using Kharitonov's theorem for complex polynomials |
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