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Robust strictly positive real synthesis for convex combination of sixth-order polynomials, Wensheng Yu and Long Wang

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For the two sixth-order polynomials a(s) and b(s), Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s) / a(s) and c(s) / b(s) are both strictly positive real. Our reasoning method is constructive, and is insightful and helpful in solving the general robust strictly positive real synthesis problem.

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Yu, Wensheng; Wang, Long. (2002). Robust strictly positive real synthesis for convex combination of sixth-order polynomials, Wensheng Yu and Long Wang. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3843.

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