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The Nehari problem for nonexponentially stable systems (1998)

Curtain, Ruth F. ; Oostveen, Job C.

Springer

Integral equations and operator theory 31 (1998), S. 307-320

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ISSN: 1420-8989

Keywords: 93B24 ; 47N70 ; 47A57

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The Nehari problem and its suboptimal extension are solved under the assumption that the system Σ(A, B, C) has bounded controllability and observability maps, an L2-impulse response and a transfer matrix that is bounded and holomorphic on the right half-plane. Exponential stability of the semigroup is not assumed and the Hankel operator is not compact. The new contribution is an explicit parameterization of all solutions given in terms of the system parametersA, B, C.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01195122

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