The structured distance to uncontrollability under multi-perturbations: an approach using multi-valued linear operators

DOI10.1016/j.sysconle.2010.06.007zbMath1198.93052OpenAlexW2042824280MaRDI QIDQ709273

Do Duc Thuan, Nguyen Khoa Son

Publication date: 18 October 2010

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.06.007

zbMATH Keywords

linear systemsdistance to uncontrollabilitymulti-perturbationsmulti-valued linear operators

Mathematics Subject Classification ID

Controllability (93B05) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (12)

Controllability radii of linear neutral systems under structured perturbations ⋮ Fredholm properties of upper triangular matrices of relations ⋮ The structured controllability radii of higher order systems ⋮ Radius of approximate controllability of linear retarded systems under structured perturbations ⋮ Decay rate estimations for linear quadratic optimal regulators ⋮ Unnamed Item ⋮ 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 ⋮ Controllability Radii of Linear Systems with Constrained Controls Under Structured Perturbations ⋮ On structured distance to uncontrollability of general linear retarded systems ⋮ The structured controllability radius of linear delay systems ⋮ On the range of upper triangular relation matrices

Cites Work

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• Matrix Analysis
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• Generalizing the Singular Value Decomposition
• New Methods for Estimating the Distance to Uncontrollability
• Stability Radii of Positive Linear Functional Differential Equations under Multi-Perturbations

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