Strictly Hurwitz property invariance of quartics under coefficient perturbation

DOI10.1109/TAC.1983.1103138zbMath0509.93052OpenAlexW2139790468MaRDI QIDQ4749700

John P. Guiver, N. K. Bose

Publication date: 1983

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1983.1103138

zbMATH Keywords

parameter variationsHurwitz polynomialquartic equationinvariance property

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Linear systems in control theory (93C05) Transformations (93B17) Perturbations of ordinary differential equations (34D10) Real polynomials: analytic properties, etc. (26C05) Stability of control systems (93D99) Model systems in control theory (93C99)

Related Items (8)

Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial† ⋮ On polynomials having all zeros in a half strip of the complex plane ⋮ Robustness of pole location in perturbed systems ⋮ Stability analysis of interval matrices: improved bounds ⋮ Conditions on the boundary of the zero set and application to stabilization of systems with uncertainty ⋮ Extending Kharitonov's theorem to eigenvalues clustering in subregions of the complex plane ⋮ Stability of perturbed polynomials based on the argument principle and Nyquist criterion ⋮ Reduced conservatism in stability analysis of interval matrices

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