caa a22 4500 467988935 CHVBK 20180323112539.0 cr unu---uuuuu 170328e19901201xx s 000 0 eng 10.1007/BF02551374 doi (NATIONALLICENCE)springer-10.1007/BF02551374 Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators [Elektronische Daten] [K. Glover, J. Lam, J. Partington] In order to establish the optimal rates of convergence for the infinity-norm rational approximation problem, upper and lower bounds on the singular values of a class of Hankel operators are established. These asymptotically accurate estimates are derived from results on the singular values of Hankel operators with symbol equal to the product of a rational function and an exponential function, combined with results on Hankel integral operators (in continuous time) whose kernels have certain smoothness properties. Springer-Verlag New York Inc., 1990 Delay systems nationallicence Singular values nationallicence Hankel operators nationallicence Rational approximation nationallicence Glover K. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England aut Lam J. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England aut Partington J. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England aut Mathematics of Control, Signals and Systems Springer-Verlag 3/4(1990-12-01), 325-344 0932-4194 3:4<325 1990 3 498 https://doi.org/10.1007/BF02551374 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02551374 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Glover K. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England aut NATIONALLICENCE 700 1- Lam J. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England aut NATIONALLICENCE 700 1- Partington J. Department of Engineering, University of Cambridge, Trumpington Street, CB2 1PZ, Cambridge, England aut NATIONALLICENCE 773 0- Mathematics of Control, Signals and Systems Springer-Verlag 3/4(1990-12-01), 325-344 0932-4194 3:4<325 1990 3 498 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 467988935 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer