Rational approximation in linear systems and control
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Publication:1587410
DOI10.1016/S0377-0427(00)00339-3zbMath0967.30023WikidataQ127494004 ScholiaQ127494004MaRDI QIDQ1587410
Adhemar Bultheel, Bart De Moor
Publication date: 26 August 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Approximation in the complex plane (30E10) Moment problems and interpolation problems in the complex plane (30E05)
Related Items (9)
System identification by discrete rational atoms ⋮ The adaptive Fourier decomposition for financial time series ⋮ A lattice-based minimal partial realization algorithm for matrix sequences of varying length ⋮ Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices ⋮ Orthonormal rational function vectors ⋮ A Lattice-Based Minimal Partial Realization Algorithm ⋮ A gradient system approach for Hankel structured low-rank approximation ⋮ Resolvent matrix of the truncated Nevanlinna-Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class ⋮ Minimal state-space realization in linear system theory: An overview
Cites Work
- Padé-type approximation and general orthogonal polynomials
- The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
- Algebraic methods for Toeplitz-like matrices and operators
- The CF table
- On the partial realization problem
- Padé techniques for model reduction in linear system theory: a survey
- Laurent series and their Padé approximations
- Near-circularity of the error curve in complex Chebyshev approximation
- Interpolation of rational matrix functions
- On several aspects of \(J\)-inner functions in Schur analysis
- A look-ahead algorithm for the solution of general Hankel systems
- Linear prediction: Mathematics and engineering
- Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume
- Anticausal stabilizing solution to discrete reverse-time Riccati equation
- Linear algebra, rational approximation and orthogonal polynomials
- Formal orthogonal polynomials and Hankel/Toeplitz duality
- Schur parameters, factorization and dilation problems
- Orthonormal polynomial vectors and least squares approximation for a discrete inner product
- Chain-scattering approach to \(H^ \infty\) control
- The multiplicative structure of 𝐽-contractive matrix functions
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Lossless inverse scattering, digital filters, and estimation theory
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
- The area enclosed by the (oriented) Nyquist diagram and the Hilbert-Schmidt-Hankel norm of a linear system
- On a generalized Szegö- Levinson realization algorithm for optimal linear predictors based on a network synthesis approach
- A Convex Optimization Approach to the Rational Covariance Extension Problem
- A unifying construction of orthonormal bases for system identification
- Displacement Structure: Theory and Applications
- ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
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