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Interpolation Problem (interpolation + problem)

Distribution by Scientific Domains
Mathematics and Statistics75%

Selected Abstracts

Boundary interpolation and rigidity for generalized Nevanlinna functions

MATHEMATISCHE NACHRICHTEN, Issue 3 2010
Daniel Alpay
Abstract We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Functional calculus under Kreiss type conditions

MATHEMATISCHE NACHRICHTEN, Issue 15 2005
Pascale Vitse
Abstract It is shown that for an algebraic Banach space operator T , the Kreiss condition, ,(zI , T ),1, , , |z | > 1, implies the following functional calculus estimate where deg(T ) is the degree of the minimal polynomial annihilating T . This result extends the known estimates of the powers of T for Kreiss operators on finite dimensional spaces. In the case of a general Kreiss operator, an estimate of the rational calculus is proved: Similar estimates hold for the polynomial calculus under generalized Kreiss conditions. A link is also established between the sharp constant in the first estimate and the norm of the best solution for a Nevanlinna,Pick type interpolation problem in analytic Besov classes. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, Issue 8 2005
G. Codevico
Abstract A new superfast O(n log2n) complexity direct solver for real symmetric Toeplitz systems is presented. The algorithm is based on 1. the reduction to symmetric right-hand sides, 2. a polynomial interpretation in terms of Chebyshev polynomials, 3. an inversion formula involving real trigonometric transformations and 4. an interpretation of the equations as a tangential interpolation problem. The tangential interpolation problem is solved via a divide and conquer strategy and fast DCT. Copyright © 2005 John Wiley & Sons, Ltd. [source]

On linear-parameter-varying (LPV) slip-controller design for two-wheeled vehicles

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2009
Matteo Corno
Abstract This paper describes the application of linear-parameter-varying (LPV) control design techniques to the problem of slip control for two-wheeled vehicles. A nonlinear multi-body motorcycle simulator is employed to derive a control-oriented dynamic model. It is shown that, in order to devise a robust controller with good performance, it is necessary to take into account the dependence of the model on the velocity and on the wheel slip. This dependence is modeled via an LPV system constructed from Jacobian linearizations at different velocities and slip values. The control problem is formulated as a model-matching control problem within the LPV framework; a specific modification of the LPV control synthesis algorithm is proposed to alleviate controller interpolation problems. Linear and nonlinear simulations indicate that the synthesized controller achieves the required robustness and performance. Copyright © 2008 John Wiley & Sons, Ltd. [source]