Lyapunov-type equations for matrix root-clustering in subregions of the complex plane

DOI10.1080/00207729008910501zbMath0709.93052OpenAlexW2117106583WikidataQ126251090 ScholiaQ126251090MaRDI QIDQ3494832

Abdul-Amir A. Abdul-Wahab

Publication date: 1990

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729008910501

zbMATH Keywords

time-invariantLyapunov-type equationsmatrix root-clustering

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Stability of solutions to ordinary differential equations (34D20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Further results on the measurement of solution bounds of the generalized Lyapunov equations.

Cites Work

• Conditions for a matrix to have only characteristic roots with negative real parts
• Matrix equations and the separation of matrix eigenvalues
• The computation of a transfer function matrix from the given state equations for time-delays systems
• Linear quadratic regulators with eigenvalue placement in a vertical strip
• Pole assignment in a specified disk
• Eigenvalue clustering in subregions of the complex plane
• Kronecker products and matrix calculus in system theory
• A general theory for matrix root-clustering in subregions of the complex plane

This page was built for publication: Lyapunov-type equations for matrix root-clustering in subregions of the complex plane