State space formulas for a solution of the suboptimal Nehari problem on the unit disc

R F Curtain, Mark R Opmeer

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1 Citation (Scopus)
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Abstract

We give state space formulas for a ("central") solution of the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. Instead of assuming exponential stability, we assume a weaker stability concept (the combination of input-, output- and input-output stability), which allows us to solve the problem for general H-infinity functions.
Original languageEnglish
Pages (from-to)35-59
Number of pages25
JournalIntegral Equations and Operator Theory
Volume64
Issue number1
Early online date23 Apr 2009
DOIs
Publication statusPublished - 1 May 2009

Keywords

  • Lyapunov equations
  • Nehari problem
  • Hankel operators
  • J-spectral factorizations
  • Infinite-dimensional linear systems

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