Generalizations of the Hermite-Biehler theorem

DOI10.1016/S0024-3795(99)00069-5zbMath0949.15037MaRDI QIDQ1970436

Aniruddha Datta, Ming-Tzu Ho, Shankar P. Bhattacharyya

Publication date: 22 November 2000

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

zbMATH Keywords

stabilityHermite-Biehler theoremroot distributiongeneralized interlacing

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Quadratic and bilinear forms, inner products (15A63)

Related Items (12)

Hyperbolic polynomials and linear-type generating functions ⋮ Higher-order interlacing for matrix-valued meromorphic Herglotz functions ⋮ Stabilizing a class of time delay systems using the Hermite--Biehler theorem. ⋮ A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices ⋮ New result on PID controller design of LTI systems via dominant eigenvalue assignment ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Stability of fractional order systems ⋮ Discrete-time filter proportional-integral-derivative controller design for linear time-invariant systems ⋮ Synthesis of PID controllers for a class of time delay systems ⋮ Synthesis of \(H_{\infty}\) PID controllers: A parametric approach. ⋮ Generalizations of the Hermite-Biehler theorem: The complex case ⋮ Root counting, phase unwrapping, stability and stabilization of discrete time systems

Cites Work

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