caa a22 4500 477096964 CHVBK 20180405111530.0 cr unu---uuuuu 170330e19961101xx s 000 0 eng 10.1007/BF01190124 doi (NATIONALLICENCE)springer-10.1007/BF01190124 Network approximation of input-output maps and functionals [Elektronische Daten] [Irwin Sandberg, Lilian Xu] We give results concerning the problem of approximating the input-output maps of nonlinear discrete-time approximately finite-memory systems. Here the focus is on the linear dynamical parts of the approximating structures, and we give examples showing that these linear parts can be derived from asingle prespecified function that meets certain conditions. This is done in the context of an approximation theorem in which attention is focused on what we call "basic sets.” We also consider the related but very different problem of approximating nonlinear functionals using lattice operations or the usual linear ring operations. For this problem we give criteria, not just sufficient conditions, for approximation on compact subsets of reflexive Banach spaces (any Hilbert space is a reflexive Banach space). Birkhäuser, 1996 Sandberg Irwin Department of Electrical and Computer Engineering, The University of Texas at Austin, 78712, Austin, Texas aut Xu Lilian Department of Electrical and Computer Engineering, The University of Texas at Austin, 78712, Austin, Texas aut Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/6(1996-11-01), 711-725 0278-081X 15:6<711 1996 15 34 https://doi.org/10.1007/BF01190124 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01190124 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sandberg Irwin Department of Electrical and Computer Engineering, The University of Texas at Austin, 78712, Austin, Texas aut NATIONALLICENCE 700 1- Xu Lilian Department of Electrical and Computer Engineering, The University of Texas at Austin, 78712, Austin, Texas aut NATIONALLICENCE 773 0- Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/6(1996-11-01), 711-725 0278-081X 15:6<711 1996 15 34 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer