Synthesis of complete rational orthonormal bases with prescribed asymptotic order

Akcay H.

AUTOMATICA, cilt.37, sa.4, ss.559-564, 2001 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 4
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1016/s0005-1098(00)00187-4
  • Dergi Adı: AUTOMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.559-564
  • Anahtar Kelimeler: orthonormal bases, completeness, asymptotic order, Toeplitz determinants, generalized Laguerre functions, CONTINUOUS-TIME SYSTEMS, LINEAR DYNAMICAL-SYSTEMS, IDENTIFICATION, LAGUERRE
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this paper, a method to construct complete rational orthonormal model sets with prescribed asymptotic order is presented for continuous-time systems. Two special cases that illustrate the application of the method are studied. In the first case, this method is shown to produce the generalized Laguerre functions which form a complete model set for H-2 and have asymptotic order two. In both eases, this method is equivalent to calculating Toeplitz determinants generated by a rational function. The latter problem is reduced to finding solution of a linear finite-difference equation. (C) 2001 Elsevier Science Ltd. All rights reserved.