Search for dissertations about: "pick interpolation"

Showing result 1 - 5 of 8 swedish dissertations containing the words pick interpolation.

  1. 1. Exact Minimizers in Real Interpolation : Characterization and Appliations

    Author : Japhet Niyobuhungiro; Natan Kruglyak; Irina Asekritova; Fredrik Berntsson; Froduald Minani; Luboš Pick; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The main idea of the thesis is to develop new connections between the theory of real interpolation and applications. Near and exact minimizers for E–, K– and L–functionals of the theory of real interpolation are very important in applications connected to regularization of inverse problems such as image processing. READ MORE

  2. 2. Interpolation of Hilbert spaces

    Author : Yacin Ameur; Frank Hansen; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). READ MORE

  3. 3. Robust Control with Complexity Constraint : A Nevanlinna-Pick Interpolation Approach

    Author : Ryozo Nagamune; KTH; []
    Keywords : Robust control; Nevanlinna-Pick interpolation; complexity constraint; continuation method; model matching; H-infinity control; closed-loop shaping; convex optimization; robust regulation; performance limitations;

    Abstract : .... READ MORE

  4. 4. A convex optimization approach to complexity constrained analytic interpolation with applications to ARMA estimation and robust control

    Author : Anders Blomqvist; Anders Lindquist; Giorgio Picci; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical optimization; systems theory; analytic interpolation; moment matching; Nevanlinna-Pick interpolation; spectral estimation; convex optimization; Optimeringslära; systemteori; Optimization; systems theory; Optimeringslära; systemteori;

    Abstract : Analytical interpolation theory has several applications in systems and control. In particular, solutions of low degree, or more generally of low complexity, are of special interest since they allow for synthesis of simpler systems. READ MORE

  5. 5. Inverse Problems in Analytic Interpolation for Robust Control and Spectral Estimation

    Author : Johan Karlsson; Anders Lindquist; Alberto Isidori; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Nevanlinna-Pick Interpolation; Approximation; Model Reduction; Robust Control; Gap-robustness; Sensitivity Shaping; Entropy functional; Spectral Estimation; Weak*-topology; Monge-Kantorovic Transportation; Optimization; systems theory; Optimeringslära; systemteori;

    Abstract : This thesis is divided into two parts. The first part deals with theNevanlinna-Pick interpolation problem, a problem which occursnaturally in several applications such as robust control, signalprocessing and circuit theory. We consider the problem of shaping andapproximating solutions to the Nevanlinna-Pick problem in a systematicway. READ MORE