Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma

DOI10.1016/S0167-6911(01)00085-8zbMath0974.93032WikidataQ124812346 ScholiaQ124812346MaRDI QIDQ5941040

Harald K. Wimmer

Publication date: 20 August 2001

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

bounded real lemmadiscrete-time algebraic Riccati equationPopov functionunmixed solutions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Matrix equations and identities (15A24)

Related Items (4)

Input-to-State Stability of Discrete-Time Lur'e Systems ⋮ A unified approach to finite-horizon generalized LQ optimal control problems for discrete-time systems ⋮ Existence and uniqueness of unmixed solutions of the discrete-time algebraic Riccati equation ⋮ Semi-global incremental input-to-state stability of discrete-time Lur'e systems

Cites Work

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• The discrete-time bounded-real lemma in digital filtering
• Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrices
• Unmixed Solutions of the Discrete-Time Algebraic Riccati Equation
• Hermitian solutions of the discrete-time algebraic Riccati equation
• Algebraic Riccati equation and symplectic algebra

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