Title :
Simple approach to approximation and dynamical realization of pseudodifferential time operators such as fractional ones
Author :
Montseny, Gérard
Author_Institution :
Laas du CNRS, Toulouse, France
Abstract :
We present a simple approach to the dynamical realization of a wide class of non-rational transfer functions, involving a natural and efficient method with rigorous theoretical background: the so-called diffusive representation. It includes the construction of finite-dimensional approximations for state-space realizations of a wide class of such operators.
Keywords :
approximation theory; integro-differential equations; mathematical operators; state-space methods; transfer functions; diffusive representation; finite-dimensional approximations; fractional integrodifferential operator; nonrational transfer functions; numerical approximation; pseudodifferential time operators; state-space representation; Circuits; Frequency domain analysis; Interpolation; Laplace equations; Transfer functions; 65; Diffusive representation; fractional integrodifferential operator; non-rational transfer function; numerical approximation; state-space representation;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.834544
