A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini–Marchesini second model-Reference-Cited by-同舟云学术

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A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini–Marchesini second model

Published:2019-06-25 Issue:1 Volume:31 Page:289-297
ISSN:0923-6082
Container-title:Multidimensional Systems and Signal Processing
language:en
Short-container-title:Multidim Syst Sign Process

Author:

Hanba Shigeru^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Artificial Intelligence,Computer Science Applications,Hardware and Architecture,Information Systems,Signal Processing,Software

Link

http://link.springer.com/content/pdf/10.1007/s11045-019-00663-6.pdf

Reference29 articles.

1. Alpay, D., & Dubi, C. (2003). A realization theorem for rational functions of several complex variables. Systems & Control Letters, 49(3), 225–229.

2. Dubi, C. (2008). Triangular realization of rational functions of $$N$$ complex variables. Multidimensional Systems and Signal Processing, 19(1), 123–129.

3. Dubi, C. (2009). Triangular representation of Fornasini–Marchesini systems. Multidimensional Systems and Signal Processing, 20(3), 217–234.

4. Ebihara, Y., Ito, Y., & Hagiwara, T. (2006). Exact stability analysis of 2-D systems using LMIs. IEEE Transactions on Automatic Control, 51(9), 1509–1513.

5. Emelianova, J. P. (2018). Stabilization of nonlinear Fornasini–Marchesini systems. Automation and Remote Control, 79(10), 1903–1911.

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