Weierstrass Approach to Asymptotic Behavior Characterization of Critical Imaginary Roots for Retarded Differential Equations

DOI10.1137/17M1147135zbMath1405.93104OpenAlexW2907689342WikidataQ128641142 ScholiaQ128641142MaRDI QIDQ4644419

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Publication date: 7 January 2019

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1147135

zbMATH Keywords

Newton diagramretarded systemsWeierstrass polynomial

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

Related Items (2)

Characterizing some improperly posed problems in proportional‐derivative control ⋮ Reversals in stability of linear time-delay systems: a finer characterization

Uses Software

• DDE-BIFTOOL

Cites Work

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• On Computing Puiseux Series for Multiple Imaginary Characteristic Roots of LTI Systems With Commensurate Delays
• Stability of time-delay systems
• On the Weierstrass preparation theorem

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