Unmixed Solutions of the Discrete-Time Algebraic Riccati Equation

DOI10.1137/0330048zbMath0759.15005OpenAlexW2036623114MaRDI QIDQ4012458

Harald K. Wimmer

Publication date: 27 September 1992

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0330048

zbMATH Keywords

maximal solutionunmixed solutionsdiscrete algebraic Riccati equationsymplectic pencildiscrete-time Riccati equationclosed loop matrixmodulus controllability

Mathematics Subject Classification ID

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

Related Items (12)

On discrete algebraic Riccati equations: a rank characterization of solutions ⋮ The Discrete Algebraic Riccati Equation and Hermitian Block Toeplitz Matrices ⋮ Infinite-horizon linear-quadratic control with end-point state penalty term: The discrete-time case ⋮ The discrete algebraic Riccati equation and linear matrix inequality ⋮ A characterization of solutions of the ARE and ARI ⋮ Covariance bounds for discrete-time linear systems with time-varying parameter uncertainty ⋮ Geometric aspects of the Riccati difference equation in the nonsymmetric case ⋮ Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma ⋮ Normal forms of symplectic pencils and the discrete-time algebraic Riccati equation ⋮ Families of solutions of algebraic Riccati equations ⋮ Yet another characterization of solutions of the algebraic Riccati equation ⋮ Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty

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