Scaling of the discrete-time algebraic Riccati equation to enhance stability of the Schur solution method

DOI10.1109/9.126589zbMath0756.93051OpenAlexW2097156328MaRDI QIDQ4004768

Thorkell Gudmundsson, Charles S. Kenney, Alan J. Laub

Publication date: 27 September 1992

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/9.126589

zbMATH Keywords

discrete-time Riccati equationsscaling procedure

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55)

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Backward error for the discrete-time algebraic Riccati equation ⋮ Inheritance properties of the conjugate discrete-time algebraic Riccati equation ⋮ Improved perturbation estimates for the matrix equations \(X \pm A^{*} X^{-1} A=Q\). ⋮ A further study on a nonlinear matrix equation ⋮ Backward error and condition of polynomial eigenvalue problems ⋮ Structured condition numbers and small sample condition estimation of symmetric algebraic Riccati equations ⋮ An accelerated technique for solving one type of discrete-time algebraic Riccati equations ⋮ Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equations ⋮ Perturbation analysis and condition numbers of symmetric algebraic Riccati equations ⋮ How to decompose semi-definite discrete-time algebraic Riccati equations ⋮ Sensitivity analysis of the discrete-time algebraic Riccati equation ⋮ A \(J\)-lossless coprime factorisation approach to \(H_{\infty}\) control in delta domain ⋮ Condition numbers of algebraic Riccati equations in the Frobenius norm

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