Stability theory for high order equations

DOI10.1016/0024-3795(92)90343-9zbMath0767.93071OpenAlexW1971678428MaRDI QIDQ1187514

Paul A. Fuhrmann, Jan C. Willems

Publication date: 22 July 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90343-9

zbMATH Keywords

polynomial modelsLyapunov type stability

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

Canonical forms for polynomial and quadratic differential operators ⋮ Lyapunov stability analysis of higher-order 2-D systems ⋮ On the elementary divisors of the Sylvester and Lyapunov maps ⋮ On the Use of Functional Models in Model Reduction ⋮ A two-variable approach to solve the polynomial Lyapunov equation ⋮ Stability radii of higher order positive difference systems ⋮ Tensored polynomial models ⋮ A polynomial approach to Hankel norm and balanced approximations

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• On strict system equivalence and similarity†
• Matrix quadratic equations
• Matrices of rational functions
• ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS

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