Positive Matrix Representations of Rational Positive Real Functions of Several Variables

Author:

Bessmertnyĭ Michail,

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)

Reference22 articles.

1. J.A. Ball, Multidimensional circuit synthesis and multivariable dilation theory, Multidimens. Syst. Signal Process 22 (2011), 27--44.

2. J.A. Ball and D.S. Kaliuzhnyĭ-Verbovetskiĭ, Rational Cayley inner Herglotz-Agler functions: Positive kernel decompositions and transfer-function realizations, Linear Algebra and its Applications 456 (2014), 138--156.

3. J.A. Ball and D.S. Kaliuzhnyĭ-Verbovetskiĭ, Schur-Agler and Herglotz-Agler classes of functions: Positive-kernel decompositions and transfer-function realizations, Adv. Math. 280 (2015), 121--187.

4. M.F. Bessmertnyĭ, Realization of rational functions of several variables by means of a long resolvent, The manuscript was submitted by the Kharkov State University and deposited at VINITI, July 8, 1981, No. 3352-81, 86 p. (Russian).

5. M.F. Bessmertnyĭ, Functions of Several Variables in the Theory of Finite Linear Structures, Ph.D thesis, Kharkiv State University, 1982 (Russian).

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