Model reduction of Takagi-Sugeno fuzzy two-dimensional systems: FM LSS model case

This paper deals with the problem of H∞ model reduction for two-dimensional (2D) discrete Takagi-Sugeno (T-S) fuzzy systems described by Fornasini-Marchesini local state-space (FM LSS) models, over finite frequency (FF) domain. New design conditions guaranteeing the FF H∞ model reduction are established in terms of Linear Matrix Inequalities (LMIs). To highlight the effectiveness of the proposed H∞ model reduction design, a numerical example is given.

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Model reduction for two-dimensional systems

10.1109/icassp.1989.266750 ◽

2003 ◽

Author(s):

M.R. Azimi-Sadjadi ◽

K. Khorasani

Keyword(s):

Model Reduction ◽

Two Dimensional

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H∞ Model Reduction for Two-Dimensional Discrete Systems in Finite Frequency Ranges

2018 26th Mediterranean Conference on Control and Automation (MED) ◽

10.1109/med.2018.8442969 ◽

2018 ◽

Cited By ~ 5

Author(s):

Abderrahim El-Amrani ◽

Ahmed El Hajjaji ◽

Bensalem Boukili ◽

Abdelaziz Hmamed

Keyword(s):

Model Reduction ◽

Discrete Systems ◽

Two Dimensional ◽

Finite Frequency

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New approach to finite frequency Filter Design for two-dimensional T-S fuzzy systems

E3S Web of Conferences ◽

10.1051/e3sconf/202129701036 ◽

2021 ◽

Vol 297 ◽

pp. 01036

Author(s):

Ben Meziane Khaddouj ◽

Abderrahim El-Amrani ◽

Ismail Boumhidi

Keyword(s):

Fuzzy Systems ◽

Filter Design ◽

Asymptotically Stable ◽

Two Dimensional ◽

Finite Frequency ◽

New Approach ◽

Filter Model ◽

Error System ◽

Non Linear Systems ◽

Takagi Sugeno

This paper considers the problem of filter design for two-dimensional (2D) discrete-time non-linear systems in Takagi-Sugeno (T-S) fuzzy mode. The problem to be solved in the paper is to find a H∞ filter model such that the filtering error system is asymptotically stable. A numerical example is employed to illustrate the validity of the proposed methods.

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Quantum entanglement in some topological insulator models

International Journal of Modern Physics B ◽

10.1142/s0217979219502849 ◽

2019 ◽

Vol 33 (24) ◽

pp. 1950284 ◽

Cited By ~ 1

Author(s):

L. S. Lima

Keyword(s):

Quantum Entanglement ◽

Topological Insulator ◽

Topological Charge ◽

Two Dimensional ◽

Dimensional Model ◽

Model Case ◽

Topological Transition ◽

One Dimensional ◽

Zhang Model ◽

The One

Quantum entanglement is studied in the neighborhood of a topological transition in some topological insulator models such as the two-dimensional Qi–Wu–Zhang model or Chern insulator. The system describes electrons hopping in two-dimensional chains. For the one-dimensional model case, there exist staggered hopping amplitudes. Our results show a strong effect of sudden variation of the topological charge Q in the neighborhood of phase transition on quantum entanglement for all the cases analyzed.

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