This paper is concerned with the parametrization of nonlinear state feedback controllers via kernel representations. First we define an appropriate stability for state feedback systems. Second it is shown that the stability condition can be reduced to the internal stability of a specific type of output feedback system. Finally the state feedback parametrization will be derived based on the exis...

Given a parametrization of a curve we would like to find a ‘small’ parametrization of the same curve. Where small simply refers to the number of bits required to display the parametrization. In order to be practical we must accomplish our task quickly, since the result is an aesthetic result. Presented here is a largely heuristic algorithm which is quite practical and could be easily included i...

In this note we cast parametrization of certain type of covariance extension problems in polynomial model. We show that the Kimura form of state space realization for maximum entropy solution to Carathéodory’s extension problem is Riccati balanced parametrization. As an application we provide a heuristic algorithm for finding solutions to minimum-phase spectral factor with poles and zeros, give...

1. Abstract In this contribution an innovative method for shape optimization with parametrization directly on FE mesh is proposed. The major shortcomings of CAD-free parametrization are discussed and global filter techniques are presented in this context. A global filter for shape optimization with FE-parametrization is developed and applied to numerical examples of basic shapes. The influence ...

A well-defined chirally split functional integrating the 2D chirally split diffeomorphism anomaly is exhibited on an arbitrary compact Riemann surface without boundary. The construction requires both the use of the Beltrami parametrisation of complex structures and the introduction of a background metric possibly subject to a Liouville equation. This formula reproduces in the flat case the so-c...

We give real Jacobian elliptic function parametrizations for a genuinely asymmetric biquadratic curve where the variables and parameters are real.

CL development and especially the development of tools for CL convergence checking is a time and cost consuming task. The development of flexible CL checkers by reusing existing resources is a great challenge for the CL community today. The article presents some theoretical reflections and lessons learnt in ongoing CL projects on the subject of customisation and parametrisation, trying to show ...

We look for complete four dimensional Einstein-Weyl spaces equipped with a Bianchi metric. Using the explicit 4-parameters expression of the distance obtained in a previous work for non-conformally-Einstein Einstein-Weyl structures, we show that four 1-parameter families of compact metrics exist : they are all of Bianchi IX type and conformally Kähler ; moreover, in agreement with general resul...

S U M M A R Y We investigate the potential advantages and pitfalls of using an irregular interface parametrization in 3-D wide-angle seismic traveltime tomography. Several synthetic tests are performed using an interface surface consisting of a mosaic of cubic B-spline surface patches and a source–receiver array designed to produce a highly variable distribution of refracted and reflected ray p...