Model reduction of systems with zeros interlacing the poles

DOI10.1016/S0167-6911(96)00072-2zbMath0901.93010OpenAlexW1970391638MaRDI QIDQ1392080

B. Srinivasan, Piotr Myszkorowski

Publication date: 23 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(96)00072-2

zbMATH Keywords

model reductionHankel singular valuesbalanced truncationbalanced residualizationoptimal Hankel approximationspole-zero interlacing

Mathematics Subject Classification ID

Eigenvalue problems (93B60) System structure simplification (93B11)

Related Items (13)

Symmetric singular linear control systems ⋮ A note on the existence of positive realizations ⋮ Stabilization and \(H^{\infty }\) control of discrete-time symmetric systems ⋮ Analysis and synthesis of modally balanced systems ⋮ Interpolatory \(H_\infty \) model reduction ⋮ Imaginary axis eigenvalues of Hamiltonian matrix: controllability, defectiveness and the ϵ-characteristic ⋮ Convergence of the iterative rational Krylov algorithm ⋮ Dissipative analysis and control of state-space symmetric systems ⋮ Decentralized control of symmetric systems ⋮ Stabilization and \(H^{\infty}\) control of symmetric systems: An explicit solution ⋮ Model reduction for state-space symmetric systems ⋮ Output feedback stabilization for symmetric control systems ⋮ Hankel/Toeplitz matrices and the static output feedback stabilization problem

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Singular perturbation approximation of balanced systems
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