Optimal angle reduction -- a behavioral approach to linear system approximation
From MaRDI portal
Publication:5954131
DOI10.1016/S0024-3795(01)00348-2zbMath1032.93004MaRDI QIDQ5954131
Publication date: 15 October 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
balancingdiscrete timecoprime factorization\(l_2\)-systemscanonical isometric state representationsgap metricsHankel norm reductionHankel singular vectorsleast squares optimizationoptimal angle reduction problemoptimal model approximationpast-future linksreduction of the degree
Discrete-time control/observation systems (93C55) System structure simplification (93B11) Algebraic methods (93B25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory (93-01)
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A geometric approach to nonlinear dissipative balanced reduction. I: Exogenous signals, Distance between behaviours, Distance problems in the behavioral setting, Optimal angle reduction -- a behavioral approach to linear system approximation
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