Extending Kharitonov's theorem to eigenvalues clustering in subregions of the complex plane

DOI10.1080/00207729008910572zbMath0721.93039OpenAlexW2065531524MaRDI QIDQ5753827

Abdul-Amir A. Abdul-Wahab

Publication date: 1990

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729008910572

zbMATH Keywords

root clustering

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stability of control systems (93D99)

Related Items (1)

Use of the quantum entropy of non-probabilistic matrices in automatic control

Cites Work

• Conditions for a matrix to have only characteristic roots with negative real parts
• Identification of two-dimensional transfer functions from finite input-output data
• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems
• Strictly Hurwitz property invariance of quartics under coefficient perturbation
• A general theory for matrix root-clustering in subregions of the complex plane

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