Articulo
Modified Euler-Frobenius Polynomials With Application to Sampled Data Modelling
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Registro en:
1151466
1151466
Autor
Carrasco, Diego S
Goodwin, Graham C
Yuz-Eissmann, Juan Ignacio
Institución
Resumen
The broad class of polynomials generally known as Eulerian or Euler-Frobenius polynomials has a rich history in Mathematics and Engineering. They have been generalised in several directions and find application in diverse areas ranging from sampled-data modelling and polynomial interpolation to wavelets. Here we describe a modified class of Euler-Frobenius polynomials which are functions of two independent variables. We show that the sampling zero (dynamics) of general linear and nonlinear systems can be described using this new class of polynomials when considering several non-standard sampled-data modelling problems, including when generalised hold functions are used to generate the input and when the continuous system has a time delay. Regular 2015 FONDECYT FONDECYT