Common eigenvector approach to exact order reduction for multidimensional Fornasini–Marchesini state-space models
Author:
Affiliation:
1. Department of Intelligent Mechatronics, Akita Prefectural University, Akita, Japan
2. School of Information Science and Engineering, Lanzhou University, Lanzhou, People's Republic of China
Funder
Japan Society for the Promotion of Science
Natural Science Foundation of Gansu Province of China
Fundamental Research Funds for the Central Universities
Publisher
Informa UK Limited
Subject
Computer Science Applications,Theoretical Computer Science,Control and Systems Engineering
Link
https://www.tandfonline.com/doi/pdf/10.1080/00207721.2018.1543476
Reference37 articles.
1. Criterion for non‐existence of limit cycles in 2D state‐space digital filters described by the Fornasini–Marchesini second model with finite wordlength non‐linearities
2. New results on saturation overflow stability of 2-D state-space digital filters described by the Fornasini–Marchesini second model
3. A realization theorem for rational functions of several complex variables
4. Algorithm for reducing the minimal realization problem of two-dimensional systems to a system of bilinear equations
5. A necessary and sufficient minimality condition for uncertain systems
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1. Elementary operation approach to Fornasini–Marchesini state-space model realization of multidimensional systems;Journal of the Franklin Institute;2020-08
2. A novel constructive procedure to low-order Fornasini–Marchesini model realization;Journal of the Franklin Institute;2020-02
3. Derivation and reduction of the singular Fornasini–Marchesini state‐space model for a class of multidimensional systems;IET Control Theory & Applications;2020-01-14
4. Common eigenvector approach to exact order reduction for Roesser state-space models of multidimensional systems;Systems & Control Letters;2019-12
5. An approach to multidimensional Fornasini–Marchesini state-space model realization w.r.t. columns of transfer matrices;Systems & Control Letters;2019-01
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