Order reduction of discrete-time algebraic Riccati equations with singular closed loop matrix

DOI10.7153/oam-01-04zbMath1121.15017OpenAlexW2150917904MaRDI QIDQ3442374

Augusto Ferrante, Harald K. Wimmer

Publication date: 18 May 2007

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-01-04

zbMATH Keywords

discrete-time algebraic Riccati equationdeflating subspacessymplectic matrix pencil

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Matrix equations and identities (15A24) System structure simplification (93B11)

Related Items (5)

The Discrete Algebraic Riccati Equation and Hermitian Block Toeplitz Matrices ⋮ Reduction of discrete algebraic Riccati equations: elimination of generalized eigenvalues on the unit circle ⋮ A reduction technique for discrete generalized algebraic and difference Riccati equations ⋮ The discrete-time generalized algebraic Riccati equation: order reduction and solutions' structure ⋮ An efficient algorithm for discrete-time \(\mathcal H_\infty\) preview control

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