Stabilizing a class of time delay systems using the Hermite--Biehler theorem.

DOI10.1016/S0024-3795(02)00721-8zbMath1109.93363OpenAlexW2054852748MaRDI QIDQ1399931

Vilma A. Oliveira, Marcelo C. M. Teixeira, Lúcia V. Cossi

Publication date: 30 July 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00721-8

zbMATH Keywords

stabilitylinear delay systemsquasi-polynomials

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control/observation systems governed by functional-differential equations (93C23)

Related Items (8)

PID Stabilization of Retarded-Type Time-Delay System ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ On impulsive time-varying systems with unbounded time-varying point delays: Stability and compactness of the relevant operators mapping the input space into the state and output spaces ⋮ A simple derivation of all stabilizing proportional controllers for first order time‐delay systems ⋮ Synthesis of PID controllers for a class of time delay systems ⋮ Controller design for delay systems via eigenvalue assignment – on a new result in the distribution of quasi-polynomial roots ⋮ Computation of all stabilizing PID gain for second-order delay system ⋮ On complementary root locus of biproper transfer functions

Cites Work

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• Differential-difference equations
• Stability and control of time-delay systems
• Generalizations of the Hermite-Biehler theorem
• Robust stability of time-delay systems
• On the zeros of some transcendental functions

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