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The Nehari problem for infinite-dimensional linear systems of parabolic type (1996)

Curtain, Ruth F. ; Ichikawa, Akira

Springer

Integral equations and operator theory 26 (1996), S. 29-45

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ISSN: 1420-8989

Keywords: 47B35 ; 93C25 ; 93B36

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A complete solution is obtained to the suboptimal Nehari extension problem for transfer functions of parabolic systems with Dirichlet boundary control and smooth observations. The solutions are given in terms of the realization (−A, B, C), whereA is a uniformly strongly elliptic operator of order two with smooth coefficients defined on a bounded open domain Ω ofR d ,B=AB D andB D is the Dirichlet map associated with Dirichlet boundary conditions andC is a bounded observation map fromL 2(Ω) to the output spaceY. The approach is to solve an equivalentJ-spectral factorization problem for this particular realization.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01229503

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