Model reduction for state-space symmetric systems

DOI10.1016/S0167-6911(98)00024-3zbMath0909.93004MaRDI QIDQ1274255

Victor Sreeram, Wanquan Liu, Kok Lay Teo

Publication date: 12 January 1999

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

zbMATH Keywords

model reduction\(H_\infty\) normHankel singular valuesinterlacingstate-space symmetric systems

Mathematics Subject Classification ID

(H^infty)-control (93B36) System structure simplification (93B11)

Related Items (20)

Symmetric singular linear control systems ⋮ Balanced Truncation Model Reduction for 3D Linear Magneto-Quasistatic Field Problems ⋮ Stabilization and \(H^{\infty }\) control of discrete-time symmetric systems ⋮ Analysis and synthesis of modally balanced systems ⋮ Interpolatory \(H_\infty \) model reduction ⋮ A kernel-independent sum-of-exponentials method ⋮ On the balanced truncation error bound and sign parameters from arrowhead realizations ⋮ Convergence of the iterative rational Krylov algorithm ⋮ Cross-Gramian-based combined state and parameter reduction for large-scale control systems ⋮ A new estimation of the lower error bound in balanced truncation method ⋮ Cross-Gramian-Based Model Reduction: A Comparison ⋮ On positive realness, negative imaginariness, and \(H_\infty\) control of state-space symmetric systems ⋮ Decentralized control of symmetric systems ⋮ Stabilization and \(H^{\infty}\) control of symmetric systems: An explicit solution ⋮ \texttt{emgr} -- the empirical Gramian framework ⋮ A circle criterion for strong integral input-to-state stability ⋮ Stability of NonNegative Lur'e Systems ⋮ The generalised singular perturbation approximation for bounded real and positive real control systems ⋮ Output feedback stabilization for symmetric control systems ⋮ On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric systems

Cites Work

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• Model reduction of systems with zeros interlacing the poles
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• On the cross-Gramian for symmetric MIMO systems
• Balanced realization of orthogonally symmetric transfer function matrices
• The Matrix Cauchy Index: Properties and Applications
• LQG balancing and reduced LQG compensation of symmetric passive systems†

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