Spectral theory of the linear-quadratic and \(H^{\infty}\) problems

zbMath0679.93013MaRDI QIDQ1823208

Leonard M. Silverman, Jyh-Ching Juang, Edmond A. Jonckheere

Publication date: 1989

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

zbMATH Keywords

Adamjan-Arov-Krein problemfeedback designRiccati differential equationlinear quadratic problem\(H^{\infty }\) frequency-response specification\(H^{\infty }\) problemspole-zero cancellation in optimal \(H^{\infty }\) compensationToeplitz-plus-Hankel operator

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Eigenvalue problems (93B60) Synthesis problems (93B50)

Related Items (5)

Anticausal stabilizing solution to discrete reverse-time Riccati equation ⋮ Reverse discrete-time Riccati equation and extended Nehari's problem ⋮ Stabilizing solutions of the \(H_ \infty\) algebraic Riccati equation ⋮ Stabilizing solution to the reverse discrete-time Riccati equation: A matrix-pencil-based approach ⋮ Extended Nehari problem for time-variant discrete systems

Cites Work

• Unnamed Item
• A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Sensitivity minimization in an H ^∞ norm: parametrization of all suboptimal solutions
• Fast computation of achievable feedback performance in mixed sensitivity<tex>H^{∞}</tex>design
• On computing the spectral radius of the Hankel plus Toeplitz operator
• Spectral theory of the linear-quadratic optimal control problem: A new algorithm for spectral computations
• Spectral theory of the linear-quadratic optimal control problem: Discrete-time single-input case

This page was built for publication: Spectral theory of the linear-quadratic and \(H^{\infty}\) problems