Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations
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Publication:2795641
DOI10.1007/978-3-319-22428-2_3zbMath1343.65100OpenAlexW2253489259MaRDI QIDQ2795641
Philip Losse, Peter Benner, Matthias Voigt, Volker Mehrmann
Publication date: 22 March 2016
Published in: Surveys in Differential-Algebraic Equations III (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-22428-2_3
algorithmobservabilitycontrollabilityconsistencyregularizationlinear-quadratic optimal controlstabilizabilitydissipativitydifferential-algebraic equationgeneralized eigenvalue problemdescriptor systemsurvey papercanonical formdetectabilityeven matrix pencil\(\mathcal H_\infty\) controlKronecker index\(\mathcal L_\infty\)-norm
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Controllability (93B05) (H^infty)-control (93B36) Linear systems in control theory (93C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Robust stability (93D09) Linear-quadratic optimal control problems (49N10) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical methods for differential-algebraic equations (65L80) Control/observation systems governed by ordinary differential equations (93C15) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)
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Uses Software
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