Construction of finite-dimensional realization of a linear dynamical system based on LU decomposition of a Hankel matrix-Reference-Cited by-同舟云学术

Construction of finite-dimensional realization of a linear dynamical system based on LU decomposition of a Hankel matrix

Published:2013-09 Issue:5 Volume:52 Page:700-707
ISSN:1064-2307
Container-title:Journal of Computer and Systems Sciences International
language:en
Short-container-title:J. Comput. Syst. Sci. Int.

Author:

Gorelik A. A.,Pushkov S. G.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Computer Networks and Communications,Computer Vision and Pattern Recognition,Information Systems,Theoretical Computer Science,Control and Systems Engineering,Software

Link

http://link.springer.com/content/pdf/10.1134/S1064230713050079.pdf

Reference6 articles.

1. R. E. Kalman, P. L. Falb, and M. A. Arbib, Topics in Mathematical System Theory (McGraw-Hill, New York, 1969; Editorial URSS, Moscow, 2004).

2. B. De Schutter, “Minimal state-space realization in linear system theory: an overview,” J. Comp. and Appl. Math. 121, 331–354 (2000).

3. S. G. Pushkov, “Finite-Dimensional realizations of the impulse characteristic based on the pseudoinversion of the Hankel matrix,” J. Comput. Syst. Sci. Int. 41, 339–345 (2002).

4. S. G. Pushkov, Representation of Dynamical Systems in the Space of States: Exact and Approximate Implementation (Altaisk. Gos. Technical Univ., Barnaul, 2003).

5. D. Kahaner, C. Moler, and S. Nash, Numerical Methods and Software (Prentice Hall, Englewood Cliffs, N.J., 1988; Mir, Moscow, 1998).

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