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Volumn 61, Issue 1-3, 2000, Pages 267-294

Approximation of transfer functions of unstable infinite dimensional control systems by rational interpolants with prescribed poles

Author keywords

Control systems; Montessus' theorem; Prescribed poles; Rational interpolation; Spherical metric

Indexed keywords


EID: 0043226182     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (12)
  • 1
    • 0030242188 scopus 로고    scopus 로고
    • Convergence rates of Padé and Padé-type approximants
    • Ambroladze, A. and Wallin, H.: Convergence rates of Padé and Padé-type approximants, J. Approx. Theory 86 (1996), 310-319.
    • (1996) J. Approx. Theory , vol.86 , pp. 310-319
    • Ambroladze, A.1    Wallin, H.2
  • 2
    • 0000985878 scopus 로고    scopus 로고
    • Rational interpolants with prescribed poles, theory and practice
    • Ambroladze, A. and Wallin, H.: Rational interpolants with prescribed poles, theory and practice, Complex Variables 34 (1997), 399-413.
    • (1997) Complex Variables , vol.34 , pp. 399-413
    • Ambroladze, A.1    Wallin, H.2
  • 3
    • 0001868848 scopus 로고
    • On interpolation by rational functions
    • Bagby, T.: On interpolation by rational functions, Duke Math. J. 36 (1969), 95-104.
    • (1969) Duke Math. J. , vol.36 , pp. 95-104
    • Bagby, T.1
  • 5
    • 84956064235 scopus 로고
    • On the convergence of generalized Padé approximants of meromorphic functions
    • Gonchar, A. A.: On the convergence of generalized Padé approximants of meromorphic functions, Math. USSR-Sb. 27 (1977), 503-514.
    • (1977) Math. USSR-Sb. , vol.27 , pp. 503-514
    • Gonchar, A.A.1
  • 6
    • 0002214296 scopus 로고
    • Sur le fractions continues algébriques
    • de Montessus, R.: Sur le fractions continues algébriques, Bull. Soc. Math, de France 30 (1902), 28-36.
    • (1902) Bull. Soc. Math, de France , vol.30 , pp. 28-36
    • De Montessus, R.1
  • 7
    • 0026103973 scopus 로고
    • Approximation of unstable infinite-dimensional systems using coprime factors
    • Partington, J. R.: Approximation of unstable infinite-dimensional systems using coprime factors, Systems Control Lett. 16 (1991), 89-96.
    • (1991) Systems Control Lett. , vol.16 , pp. 89-96
    • Partington, J.R.1
  • 11
    • 0009029770 scopus 로고
    • Existence and uniqueness of rational interpolants with free and prescribed poles
    • Springer-Verlag, New York
    • Stahl, H.: Existence and uniqueness of rational interpolants with free and prescribed poles, In: Lecture Notes in Math. 1287, Springer-Verlag, New York, 1987, pp. 180-208.
    • (1987) Lecture Notes in Math. , vol.1287 , pp. 180-208
    • Stahl, H.1
  • 12
    • 0003336252 scopus 로고
    • Interpolation and Approximation by Rational Functions in the Complex Domain
    • Amer. Math. Soc., Providence, RI
    • Walsh, J. L.: Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloq. Publ. 20, Amer. Math. Soc., Providence, RI, 1965.
    • (1965) Amer. Math. Soc. Colloq. Publ. , vol.20
    • Walsh, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.