Improved perturbation bounds for general quadratic matrix equations

DOI10.1080/01630569908816920zbMath0937.15009OpenAlexW1999777709MaRDI QIDQ4705846

Da-Wei Gu, Michael M.Konstantinov, Petko Hr. Petkov

Publication date: 7 February 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816920

zbMATH Keywords

optimal controlerror analysisfilteringperturbation analysisperturbation boundsquadratic matrix equationLyapunov majorantscontinuous-time algebraic matrix Riccati equationsnorm of tensor products

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Perturbations in control/observation systems (93C73) Matrix equations and identities (15A24)

Related Items (2)

Robust Control of a Distillation Column ⋮ Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations

Uses Software

• DGRSVX
• DMSRIC

Cites Work

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• Perturbation Analysis of Matrix Quadratic Equations
• Geometry of the Algebraic Riccati Equation, Part II
• The Sensitivity of the Algebraic and Differential Riccati Equations
• Perturbation Theory for Algebraic Riccati Equations
• Two-dimensional measures of reachability for linear time-invariant systems
• A Theory of Condition

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