On approximation of stable linear dynamical systems using Laguerre and Kautz functions
The paper deals with approximation of stable linear dynamic systems by means of finite length orthogonal series expansions. The Laguerre and Kautz families of orthogonal functions are discussed, and it is shown that these sets of basis functions are optimal in a worst-case sense for systems with bounded transfer functions analytic outside a given disc. This fact is established in the Laplace domain by using conformal mapping techniques and reducing the Kautz approximation problem with two free parameters to two theoretically developed ``one-parameter'' Laguerre approximation problems. Then, the results concerning \(H_2\) and \(H_\infty\) Kautz approximation are given.
scientific article; zbMATH DE number 896678
scientific article