An operator perspective on signals and systems

DOI10.1007/978-3-0346-0292-1zbMath1218.93003OpenAlexW585585720MaRDI QIDQ1039400

Wisuwat Bhosri, Arthur E. Frazho

Publication date: 30 November 2009

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0292-1

zbMATH Keywords

interpolationKalman filterfactorizationRiccati equationoperator theoryNevanlinna-Pick interpolationWold decompositionstate space methodsdynamic systems controlNainmark representation theoremToeplitz and Laurent operator

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Operator-theoretic methods (93B28) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical interpolation (65D05) Linear operator methods in interpolation, moment and extension problems (47A57) Linear operator approximation theory (47A58) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (19)

NEW TOPOLOGICAL ℂ-ALGEBRAS WITH APPLICATIONS IN LINEAR SYSTEMS THEORY ⋮ Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators ⋮ Solving continuous time Leech problems for rational operator functions ⋮ Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization ⋮ Recent developments in the interplay between function theory and operator theory for block Toeplitz, Hankel, and model operators ⋮ The Twofold Ellis-Gohberg Inverse Problem for Rational Matrix Functions on the Real Line ⋮ Szegő's theorem and its probabilistic descendants ⋮ Multivariate prediction and matrix Szegő theory ⋮ The Beurling-Lax-Halmos theorem for infinite multiplicity ⋮ The inverse problem for Ellis-Gohberg orthogonal matrix functions ⋮ Inner outer factorization of wide rational matrix valued functions on the half plane ⋮ State space formulae for stable rational matrix solutions of a Leech problem ⋮ Canonical factorization of rational matrix functions. A note on a paper by P. Dewilde ⋮ Rational matrix solutions to the Leech equation: the Ball-Trent approach revisited ⋮ The Bezout-corona problem revisited: Wiener space setting ⋮ Induced actions of \(\mathfrak{B} \)-Volterra operators on regular bounded martingale spaces ⋮ Analysis of an Iteration Method for the Algebraic Riccati Equation ⋮ Existence and stability of periodic solutions in a neural field equation ⋮ On Douglas-Shapiro-Shields factorizations

Uses Software

• Matlab

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