The State Space Isomorphism Theorem for Discrete-Time Infinite-Dimensional Systems

Author:

Chakhchoukh Amine N.,Opmeer Mark R.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference21 articles.

1. Antoulas, A.C., Matsūo, T., Yamamoto, Y.: Linear deterministic realization theory. In: Mathematical System Theory. Springer, Berlin, pp. 191–212 (1991)

2. Arov D.Z., Kaashoek M.A., Pik D.R.: The Kalman–Yakubovich–Popov inequality for discrete time systems of infinite dimension. J. Oper. Theory 55(2), 393–438 (2006)

3. Arov D.Z., Nudel’man M.A.: A criterion for the unitary similarity of minimal passive systems of scattering with a given transfer function. Ukraïn. Mat. Zh. 52(2), 147–156 (2000)

4. Arov D.Z., Nudel’man M.A.: Conditions for the similarity of all minimal passive realizations of a given transfer function (scattering and resistance matrices). Mat. Sb. 193(6), 3–24 (2002)

5. Bourbaki, N.: Topological vector spaces, chapters 1–5. In: Elements of Mathematics (Berlin). Springer, Berlin (1987). (Translated from the French by H.G. Eggleston and S. Madan (1987))

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