Bounds on the solution of the algebraic Riccati equation under perturbations in the coefficients

DOI10.1016/0167-6911(90)90012-JzbMath0713.93020OpenAlexW2067328528MaRDI QIDQ750380

Carlos E. de Souza, Peng Shi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90012-j

zbMATH Keywords

perturbationscontinuous algebraic matrix Riccati equation

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Matrix equations and identities (15A24) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Upper solution bounds of the continuous coupled algebraic Riccati matrix equation ⋮ Upper solution bounds of the continuous and discrete coupled algebraic Riccati equations ⋮ New upper solution bounds for perturbed continuous algebraic Riccati equations applied to automatic control

Cites Work

• On positive definite solutions to the algebraic Riccati equation
• A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
• On some bounds in the algebraic Riccati and Lyanupov equations
• On bounds of the Riccati and Lyapunov matrix equations
• Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrices
• Simultaneous eigenvalue lower bounds for the Riccati matrix equation
• Kronecker products and matrix calculus in system theory
• Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation

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