A polynomial approach to Hankel norm and balanced approximations
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Publication:803500
DOI10.1016/0024-3795(91)90025-RzbMath0727.47004MaRDI QIDQ803500
Publication date: 1991
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
polynomial algebrabalanced realizationsHankel norm approximationsbalanced approximationgeometry of invariant subspaces
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15)
Related Items (14)
Remarks on orthogonal polynomials and balanced realizations ⋮ Dipolynomial minimal bases and linear systems in AR representation ⋮ A behavioral approach to balanced representations of dynamical systems ⋮ A new approach to modeling for control ⋮ A duality theory for robust stabilization and model reduction ⋮ On the Schmidt pairs of multivariable Hankel operators and robust control ⋮ On balanced realizations of bounded real and positive real functions ⋮ The subspace Nevanlinna interpolation problem and the most powerful unfalsified model ⋮ Functional models in linear algebra ⋮ A note on Hankel approximation of all-pass functions ⋮ On the Use of Functional Models in Model Reduction ⋮ A polynomial solution to the scalar 4-block H ∞ general distance problem ⋮ Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols ⋮ On the decay rate of Hankel singular values and related issues
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