Generalizations of the Hermite-Biehler theorem: The complex case

DOI10.1016/S0024-3795(00)00191-9zbMath0968.15008OpenAlexW1984608188WikidataQ126838658 ScholiaQ126838658MaRDI QIDQ1593655

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

Publication date: 19 September 2001

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00191-9

zbMATH Keywords

Hermite-Biehler theoremHurwitz stabilitypolynomials with complex coefficientsinterlacing conditions

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Inequalities involving eigenvalues and eigenvectors (15A42) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Quadratic and bilinear forms, inner products (15A63)

Related Items (6)

PID Stabilization of Retarded-Type Time-Delay System ⋮ Hyperbolic polynomials and linear-type generating functions ⋮ Higher-order interlacing for matrix-valued meromorphic Herglotz functions ⋮ A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices ⋮ Synthesis of \(H_{\infty}\) PID controllers: A parametric approach. ⋮ Root counting, phase unwrapping, stability and stabilization of discrete time systems

Cites Work

• Generalizations of the Hermite-Biehler theorem
• Stability and inertia
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