Root exclusion from complex polydomains and some of its applications

DOI10.1016/0005-1098(87)90014-8zbMath0622.93060OpenAlexW2004431171MaRDI QIDQ1091334

David Hertz, Eliahu I. Jury, Ezra Zeheb

Publication date: 1987

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(87)90014-8

zbMATH Keywords

root exclusionlinear systems of retarded typen-dimensional polynomialsrobust relative multidimensional stability

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Stability theory of functional-differential equations (34K20) Stability of control systems (93D99)

Related Items (5)

A toric positivstellensatz with applications to delay systems ⋮ Stabilizability considerations and design of rational controllers for a class of time-delay systems ⋮ Positivity and Optimization: Beyond Polynomials ⋮ Bibliography on robust control ⋮ Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters

Cites Work

• Stability independent and dependent of delay for delay differential systems
• A simple proof of Rudin's multivariable stability theorem
• Simplified analytic stability test for systems with commensurate time delays
• A unified approach to root distribution with respect to parabolas, ellipses, and hyperbolas
• Robust control of the characteristic values of systems with possible parameter variations
• N-dimensional stability margins computation and a variable transformation
• Comments on a simplified analytical stability test for systems with delay
• On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
• Complete root distribution with respect to parabolas and some results with respect to hyperbolas and sectors
• Root distribution for the ellipse
• Stability Tests for One, Two, and Multidimensional Linear Systems
• A procedure for determination of the exponential stability of certain differential-difference equations
• A general theory for matrix root-clustering in subregions of the complex plane
• Unnamed Item

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