Perturbation bounds and characterisation of the solution of the associated algebraic Riccati equation

DOI10.1016/S0024-3795(98)10094-0zbMath0933.15025MaRDI QIDQ1124790

M. O. Stanislavova, Petko Hr. Petkov, Michael M.Konstantinov

Publication date: 28 November 1999

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

zbMATH Keywords

perturbation boundsHermitian solutionsalgebraic matrix Riccati equationcomplex algebraic matrix quadratic equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (4)

THE METHOD OF SPLITTING OPERATORS AND LYAPUNOV MAJORANTS IN PERTURBATION LINEAR ALGEBRA AND CONTROL ⋮ Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations ⋮ On properties of Sylvester and Lyapunov operators ⋮ Perturbation bounds for coupled matrix Riccati equations

Uses Software

• LAPACK
• EISPACK
• LINPACK

Cites Work

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• Invariance of the quadratic cost on a set of non-optimal control laws
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Matrix eigensystem routines. EISPACK guide extension
• Perturbation Analysis of Matrix Quadratic Equations
• Geometry of the Algebraic Riccati Equation, Part II
• Computable Bounds for the Sensitivity of the Algebraic Riccati Equation
• The Sensitivity of the Algebraic and Differential Riccati Equations
• A Schur method for solving algebraic Riccati equations
• Existence and uniqueness theorems for the algebraic Riccati equation
• Perturbation Theory for Algebraic Riccati Equations
• Matrix Quadratic Solutions

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