Riesz bases in control theory

Pál Michelberger, László Nádai, Péter Várlaki, István Joó

Research output: Contribution to journalArticle


In this paper we examine the reachable states of motion of a vibrating string, starting from given initial and boundary conditions and driving the string by an appropriate u(t) control force which is an element of a specified function field. The motion is described using Fourier methodology. The convergence of the series expansion is examined for different function classes. This requires spectral-theoretical studies to become acquainted with the asymptotic behaviour of the eigenfunctions and eigenvalues.

Original languageEnglish
Pages (from-to)21-36
Number of pages16
JournalPeriodica Polytechnica Transportation Engineering
Issue number1-2
Publication statusPublished - Jan 1 2002


  • Fourier method
  • Riesz bases
  • Vibrating string

ASJC Scopus subject areas

  • Modelling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Mechanical Engineering

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  • Cite this

    Michelberger, P., Nádai, L., Várlaki, P., & Joó, I. (2002). Riesz bases in control theory. Periodica Polytechnica Transportation Engineering, 30(1-2), 21-36.