Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation

zbMath1213.47014arXiv0906.3363MaRDI QIDQ3560728

Joseph A. Ball, Sanne ter Horst

Publication date: 14 May 2010

Full work available at URL: https://arxiv.org/abs/0906.3363

zbMATH Keywords

robust controlNevanlinna-Pick interpolationmultidimensional linear systemmodel-matching problem\(H^\infty\)-control problem

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Linear operator inequalities (47A63) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Robust stability (93D09) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Formal power series rings (13F25)

Related Items (7)

The Rational Interpolation Problem: Grassmannian and Loewner-Matrix Approaches ⋮ A Hill-Pick matrix criterion for the Lyapunov order ⋮ Noncommutative rational Clark measures ⋮ Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching ⋮ Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting ⋮ On domains of noncommutative rational functions ⋮ An algebraic perspective on multivariate tight wavelet frames. II

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