An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects

DOI10.1016/S0167-6911(96)00078-3zbMath0901.93007MaRDI QIDQ1392085

Paul Van Dooren, Cristian Oarǎ

Publication date: 23 July 1998

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

zbMATH Keywords

algorithmlinear systemsKronecker canonical formnumerical analysisdeflating subspacestaircase formstructural invariants of a system pencil

Mathematics Subject Classification ID

Related Items (11)

On the geometric structures of the \(\mathcal{H}_\infty\) controllers for descriptor systems ⋮ Submodules of Kronecker modules via extension monoid products ⋮ A unified approach to finite-horizon generalized LQ optimal control problems for discrete-time systems ⋮ Continuous-time non-symmetric algebraic Riccati theory: a matrix pencil approach ⋮ Stability of reducing subspaces ⋮ Singular \(\mathcal {H}_2\)-optimization problems for discrete-time systems ⋮ Employing the algebraic Riccati equation for a parametrization of the solutions of the finite-horizon LQ problem: the discrete-time case ⋮ On recursive computation of coprime factorizations of rational matrices ⋮ Minimal indices cancellation and rank revealing factorizations for rational matrix functions ⋮ Zero cancellation for general rational matrix functions ⋮ Constructive solutions to spectral and inner-outer factorizations with respect to the disk

Cites Work

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• On stabilization methods of descriptor systems
• The computation of Kronecker's canonical form of a singular pencil
• Factorization of a rational matrix: The singular case
• An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
• Proper deflating subspaces: Properties, algorithms and applications
• Computation of structural invariants of generalized state-space systems
• Generalized continuous-time Riccati theory
• Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
• Generalized Discrete-Time Riccati Theory

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