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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 282, Pages 192–215 (Mi znsl1514)

This article is cited in 3 papers

Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces

S. M. Saprikin

South Ukrainian State K. D. Ushynsky Pedagogical University

Abstract: An arbtrary operator-valued function in the generalized Shur class in realized as the transfer function of a minimal optimal and minimal $\ast$- optimal dissipative scattering system with Pontryagin state space. The results generalize D. Z. Arov's results for the Hilbert state space case.

UDC: 513.88

Received: 20.08.2001


 English version:
Journal of Mathematical Sciences (New York), 2004, 120:5, 1752–1765

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