Tests for Hurwitz and Schur properties of convex combination of complex polynomials

DOI10.1109/31.34672zbMath0683.30008OpenAlexW2161970881MaRDI QIDQ4732678

N. K. Bose

Publication date: 1989

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/31.34672

zbMATH Keywords

Schur stabilityHurwitz stabilityresultant of two polynomials

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Polynomials and rational functions of one complex variable (30C10)

Related Items (13)

Testing the robust Schur stability of a segment of complex polynomials ⋮ Instability of k-Cluster Solutions in a Cell Cycle Population Model when k is Prime ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Open problems related to the Hurwitz stability of polynomials segments ⋮ Convex combinations of G-stable polynomials ⋮ A few results concerning the Hurwitz stability of polytopes of complex polynomials ⋮ Conditions for the Schur stability of segments of polynomials of the same degree ⋮ A structural approach to robust stability of polynomials ⋮ The use of Routh array for testing the Hurwitz property of a segment of polynomials. ⋮ A test for robust Hurwitz stability of convex combinations of complex polynomials ⋮ Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters ⋮ Tuning of complex coefficient PI/PD/PID controllers for a universal plant structure ⋮ Universality of stable multi-cluster periodic solutions in a population model of the cell cycle with negative feedback

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