On the Estimation of the Distance to Uncontrollability for Higher Order Systems

DOI10.1137/060658588zbMath1158.65025OpenAlexW2081991469MaRDI QIDQ3609019

Emre Mengi

Publication date: 6 March 2009

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060658588

zbMATH Keywords

dynamical systemsmatrix polynomialsdistance to uncontrollabilityeven-odd polynomials

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Controllability (93B05) Linearizations (93B18)

Related Items (12)

Perturbation analysis for the sign functions of regular matrix pairs ⋮ Partial strong structural controllability ⋮ Controllability radii of linear neutral systems under structured perturbations ⋮ The structured controllability radii of higher order systems ⋮ Radius of approximate controllability of linear retarded systems under structured perturbations ⋮ The structured distance to non-surjectivity and its application to calculating the controllability radius of descriptor systems ⋮ The feedback search algorithm: estimating the distance of semi-explicit systems to \(\mathcal{R}\)-uncontrollability ⋮ The structured distance to uncontrollability under multi-perturbations: an approach using multi-valued linear operators ⋮ On the structured distance to uncontrollability ⋮ Controllability Radii of Linear Systems with Constrained Controls Under Structured Perturbations ⋮ On structured distance to uncontrollability of general linear retarded systems ⋮ On why using \(\mathbb{DL}(P)\) for the symmetric polynomial eigenvalue problem might need to be reconsidered

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