Relationships between discrete-time and continuous-time algebraic Riccati inequalities

DOI10.1016/S0024-3795(97)00246-2zbMath0970.93027WikidataQ127436688 ScholiaQ127436688MaRDI QIDQ1377512

J. Ning

Publication date: 21 October 2001

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

zbMATH Keywords

bilinear transformationdiscrete-time \(H_\infty\) controldiscrete-time algebraic Riccati inequality

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36)

Related Items (3)

Transformations between discrete-time and continuous-time algebraic Riccati equations ⋮ On extended \((J,J')\)-lossless factorization ⋮ Upper solution bounds of the continuous and discrete coupled algebraic Riccati equations

Cites Work

• A complete algebraic solvability test for the nonstrict Lyapunov inequality
• Monotonicity of maximal solutions of algebraic Riccati equations
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• The Riccati equation
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• The singular \(H_ 2\) control problem
• On computing the stabilizing solution of the discrete-time Riccati equation
• The state-feedback \(H_ \infty\)-problem at optimality
• The general nonstrict algebraic Riccati inequality
• A Generalized Eigenvalue Approach for Solving Riccati Equations
• $H_\infty $-Control by State-Feedback for Plants with Zeros on the Imaginary Axis
• $H_\infty $-Optimization without Assumptions on Finite or Infinite Zeros
• A linear matrix inequality approach to H_∞ control

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