Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems

DOI10.1007/s00200-006-0027-4zbMath1192.65018OpenAlexW1994025238MaRDI QIDQ985368

Rida T. Farouki, Chang Yong Han

Publication date: 5 August 2010

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-006-0027-4

zbMATH Keywords

robust stabilitypolynomial rootsspectral setsgeneralized lemniscatekharitonov theorempseudozero setsroot neighborhoods

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Numerical computation of solutions to single equations (65H05) Computer-aided design (modeling of curves and surfaces) (65D17) Stability of control systems (93D99)

Related Items (6)

The nearest complex polynomial with a zero in a given complex domain ⋮ The nearest polynomial to multiple given polynomials with a given zero: a unified optimization approach ⋮ Evaluating the boundary and covering degree of planar Minkowski sums and other geometrical convolutions ⋮ Computing the Minkowski Value of the Exponential Function over a Complex Disk ⋮ Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves ⋮ A unified approach to computing the nearest complex polynomial with a given zero

Uses Software

• QEPCAD

Cites Work

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