scientific article

zbMath0992.47004MaRDI QIDQ2784968

S. M. Saprikin, Damir Z. Arov

Publication date: 24 April 2002

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zbMATH Keywords

transfer functionoptimal systemgeneralized Schur classmeromorphic operator-valued functionsdissipative scattering systemoptimal dissipative scattering systemPontryagin state spaces

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Linear operator methods in interpolation, moment and extension problems (47A57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (4)

Commuting operators over Pontryagin spaces with applications to system theory ⋮ Generalized Schur-Nevanlinna functions and their realizations ⋮ Minimal passive realizations of generalized Schur functions in Pontryagin spaces ⋮ Passive discrete-time systems with a Pontryagin state space

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