Bounds on solutions to \(\mathcal H _ \infty\) algebraic Riccati equations and \(\mathcal H _ 2\) properties of \(\mathcal H _ \infty\) central solutions

DOI10.1016/0167-6911(92)90084-6zbMath0784.93075OpenAlexW983741762MaRDI QIDQ1195845

Arthur E. Frazho, Mario A. Rotea

Publication date: 4 January 1993

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

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90084-6

zbMATH Keywords

algebraic Riccati equationstime-invariantcontinuous-time

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) (H^infty)-control (93B36) Linear systems in control theory (93C05) Model systems in control theory (93C99)

Related Items (2)

Cooperative relay pursuit with input saturation constraint and external disturbances ⋮ Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results

Cites Work

• Unnamed Item
• H\({}^ 2\)-optimal control with an \(H^{\infty}\)-constraint: The state feedback case
• Discrete time \({\mathcal H}_\infty\) controllers satisfying a minimum entropy criterion
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• A remark on mixed \(L^ 2/L^{\infty}\) bounds
• Quasitriangular subalgebras of semifinite von Neumann algebras are closed
• A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Bounds on eigenvalues of matrix products with an application to the algebraic Riccati equation
• Bounds for the eigenvalues of the solution of the discrete Riccati and Lyapunov equations and the continuous Lyapunov equation
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• Filtering and smoothing in an H/sup infinity / setting
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
• H/sub infinity /-control by state-feedback and fast algorithms for the computation of optimal H/sub infinity /-norms

This page was built for publication: Bounds on solutions to \(\mathcal H _ \infty\) algebraic Riccati equations and \(\mathcal H _ 2\) properties of \(\mathcal H _ \infty\) central solutions