Relevant bibliographies by topics / Modèles 2D de Fornasini-Marchesini

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Modèles 2D de Fornasini-Marchesini'

Author: Grafiati
Published: 1 February 2023

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Journal articles on the topic "Modèles 2D de Fornasini-Marchesini"

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Lomadze, Vakhtang, Eric Rogers, and Jeffrey Wood. "Singular 2D Behaviors: Fornasini–Marchesini and Givone–Roesser Models." gmj 16, no. 1 (March 2009): 105–30. http://dx.doi.org/10.1515/gmj.2009.105.

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Abstract In this paper we study 2D Fornasini–Marchesini and 2D Givone–Roesser models from the viewpoint developed in our recent paper [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008]. We give necessary and sufficient conditions for a behavior to be expressable in Fornasini–Marchesini or Givone–Roesser form, and a canonical realization when the conditions are met. We also study the regularity, controllability and autonomy of these models. In particular, we provide the concepts of controllability in the sense of Kalman for each model, and show that they agree with the behavioral controllability as defined in [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008].
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Hmamed, A., M. Alfidi, A. Benzaouia, and F. Tadeo. "LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems." Mathematical Problems in Engineering 2008 (2008): 1–11. http://dx.doi.org/10.1155/2008/356124.

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Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.
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Negi, Richa, Haranath Kar, and Shubhi Purwar. "Stability Analysis of 2D Discrete Linear System Described by the Fornasini-Marchesini Second Model with Actuator Saturation." ISRN Computational Mathematics 2012 (March 14, 2012): 1–9. http://dx.doi.org/10.5402/2012/847178.

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This paper proposes a novel antiwindup controller for 2D discrete linear systems with saturating controls in Fornasini-Marchesini second local state space (FMSLSS) setting. A Lyapunov-based method to design an antiwindup gain of 2D discrete systems with saturating controls is established. Stability conditions allowing the design of antiwindup loops, in both local and global contexts have been derived. Numerical examples are provided to illustrate the applicability of the proposed method.
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Kaczorek, T. "Asymptotic stability of positive 2D linear systems with delays." Bulletin of the Polish Academy of Sciences: Technical Sciences 57, no. 2 (June 1, 2009): 133–38. http://dx.doi.org/10.2478/v10175-010-0113-4.

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Asymptotic stability of positive 2D linear systems with delays New necessary and sufficient conditions for the asymptotic stability of positive 2D linear systems with delays described by the general model, Fornasini-Marchesini models and Roesser model are established. It is shown that checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to the checking of the asymptotic stability of corresponding positive 1D linear systems without delays. The efficiency of the new criterions is demonstrated on numerical examples.
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Naoual, Rachid, Abderrahim El-Amrani, and Ismail Boumhidi. "Finite frequency model reduction for 2-D fuzzy systems in FM model." E3S Web of Conferences 297 (2021): 01035. http://dx.doi.org/10.1051/e3sconf/202129701035.

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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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Zhang, Guangchen, and Weiqun Wang. "Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models." International Journal of Systems Science 48, no. 4 (July 29, 2016): 778–87. http://dx.doi.org/10.1080/00207721.2016.1212436.

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Jia, Jiajia, and Guangchen Zhang. "Co-Design of Output-Based Event-Triggered Protocol and Sliding Mode Control for 2D Nonlinear Fornasini-Marchesini Network under Packet Dropouts." Electronics 11, no. 19 (September 21, 2022): 2986. http://dx.doi.org/10.3390/electronics11192986.

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This paper focuses on the stability and sliding mode issues for the two-dimensional (2D) Fornasini-Marchesini (FMII) networked control system under packet dropouts. Firstly, the output-based 2D event-triggered strategy was constructed to alleviate information transmission pressure caused by limited network resources. Secondly, by considering the impact of packet dropouts, we propose an output-based 2D sliding mode controller and formulate the output-based 2D error-estimation scheme accordingly. Moreover, to get rid of the nonlinear coupling of the conditions (to guarantee the mean-square stability), we established an adaptive intelligence algorithm. Finally, we provide a numerical example to verify the effectiveness and practicability of the proposed algorithm and controller design.
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Chen, Dongyan, and Hui Yu. "Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/749782.

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The problem of stability analysis is investigated for a class of state saturation two-dimensional (2D) discrete time-delay systems described by the Fornasini-Marchesini (F-M) model. The delay is allowed to be a bounded time-varying function. By constructing the delay-dependent 2D discrete Lyapunov functional and introducing a nonnegative scalarβ, a sufficient condition is proposed to guarantee the global asymptotic stability of the addressed systems. Subsequently, the criterion is converted into the linear matrix inequalities (LMIs) which can be easily tested by using the standard numerical software. Finally, two numerical examples are given to show the effectiveness of the proposed stability criterion.
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Kaczorek, Tadeusz. "Pointwise completeness and pointwise degeneracy of 2D standard and positive Fornasini‐Marchesini models." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 30, no. 2 (March 8, 2011): 656–70. http://dx.doi.org/10.1108/03321641111101131.

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Ben Mohamed, Sameh, Boumedyen Boussaid, Mohamed Naceur Abdelkrim, and Charfeddine Tahri. "1D and 2D modelling of a chemical process using the FM-II model: Rotary drum filter." Transactions of the Institute of Measurement and Control 40, no. 4 (January 24, 2017): 1309–19. http://dx.doi.org/10.1177/0142331216681401.

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This work treats the physical one-dimensional (1D) and two-dimensional (2D) modelling of a chemical process of filtration of slurry, which is the second step of phosphoric acid manufacture. This work focuses on the different physical laws involved in the filtration stage in order to obtain a simulator of the filter. In this work, we are interested in the 1D modelling of a rotary filter using all parameters and physical phenomena established in the filtration phase. Then, a 2D model emerged from the previous model by choosing both a temporal and a spatial variable. These two parameters are quite necessary for the construction of a 2D model based on the method of Fornasini–Marchesini (FM-II) to describe the dynamics of the system.
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Dissertations / Theses on the topic "Modèles 2D de Fornasini-Marchesini"

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Rigaud, Alexandre. "Analyse des notions de stabilité pour les modèles 2D de Roesser et de Fornasini-Marchesini." Thesis, Poitiers, 2022. http://www.theses.fr/2022POIT2307.

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Cette thèse présente les résultats de travaux sur lLes différentes notions de stabilité utilisées dans la littérature des systèmes dynamiques multidimensionnels. Plus précisément, dans le cadre des modèles 2D de Roesser et de Fornasini-Marchesini, nous analysons les notions de stabilité au sens de Lyapunov, stabilité asymptotique, stabilité(s) exponentielle(s) et stabilité structurelle, ainsi que les relations entre ces différentes propriétés. Le premier chapitre de ce mémoire effectue un certain nombre de rappels concernant les définitions de stabilité et les liens qui existent entre celles-ci, dans le but d'établir un cadre solide en vue d'étendre ces notions du cas 1D au cas 2D. Une fois ces rappels établis, nous présentons les modèles 2D que nous étudions. Le deuxième chapitre dresse la liste des définitions de stabilité utilisées pour les modèles 2D de Roesser et de Fornasini-Marchesini et établit les liens entre ces différentes définitions. Au cours du troisième chapitre, nous proposons une condition nécessaire et suffisante de stabilité asymptotique pour une certaine classe de modèles de Fornasini-Marchesini 2D discrets linéaires. Le quatrième et dernier chapitre propose une étude détaillée d'un modèle 1D non-linéaire qui possède la particularité rare d'être à la fois attractif et instable, et nous généralisons ce modèle particulier au cas 2D afin d'établir quelles propriétés se conservent ou non lorsque l'on passe du cas 1D au cas 2D
This thesis presents the results of research work on different notions of stability used in the literature of multidimensional dynamical systems. More precisely, within the framework of the 2D Roesser and Fornasini-Marchesini models, we analyze the notions of stability in the sense of Lyapunov, asymptotic stability, exponential stability(ies) and structural stability, as well as the relations between these different properties. The first chapter of this thesis carries out a certain number of reminders concerning the definitions of stability and the links which exist between them, with the aim of establishing a solid framework in order to extend these notions from the 1D case to the 2D case. Once these reminders have been established, we present the 2D models that we are studying. The second chapter lists the stability definitions used for the 2D Roesser and Fornasini-Marchesini models and establishes the links between these different definitions. In the third chapter, we propose a necessary and sufficient condition of asymptotic stability for a certain class of linear discrete 2D Fornasini-Marchesini models. The fourth and last chapter proposes a detailed study of a non-linear 1D model which has the rare characteristic of being both attractive and unstable, and we generalize this particular model to the 2D case in order to establish which properties are conserved. or not when passing from the 1D case to the 2D case
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Book chapters on the topic "Modèles 2D de Fornasini-Marchesini"

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Rogowski, Krzysztof. "Positivity Analysis of Continuous 2D Fornasini-Marchesini Fractional Model." In Positive Systems, 201–11. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54211-9_16.

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Conference papers on the topic "Modèles 2D de Fornasini-Marchesini"

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Pakshin, Pavel, Julia Emelianova, Mikhail Emelianov, Krzysztof Galkowski, and Eric Rogers. "Stabilization of stochastic 2D Fornasini-Marchesini systems." In 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS). IEEE, 2015. http://dx.doi.org/10.1109/nds.2015.7332653.

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Pakshin, Pavel, Julia Emelianova, Krzysztof Galkowski, and Eric Rogers. "Stabilization of nonlinear 2D Fornasini-Marchesini and Roesser systems." In 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS). IEEE, 2015. http://dx.doi.org/10.1109/nds.2015.7332650.

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Rigaud, Alexandre, Olivier Bachelier, and Nima Yeganefar. "Study of Asymptotic Stability for 2D Fornasini-Marchesini linear models." In 2021 9th International Conference on Systems and Control (ICSC). IEEE, 2021. http://dx.doi.org/10.1109/icsc50472.2021.9666558.

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Elloumi, Marwa, Mariem Ghamgui, Driss Mehdi, Fetnando Tadeo, and Mohamed Chaabane. "Stability and Stabilization of 2D Discrete Stochastic Fornasini-Marchesini Second Model." In 2018 17th European Control Conference (ECC). IEEE, 2018. http://dx.doi.org/10.23919/ecc.2018.8550442.

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Baniamerian, Amir, Nader Meskin, and Khashayar Khorasani. "Fault detection and isolation of Fornasini-Marchesini 2D systems: A geometric approach." In 2014 American Control Conference - ACC 2014. IEEE, 2014. http://dx.doi.org/10.1109/acc.2014.6859030.

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Elloumi, Marwa, Mariem Ghamgui, Driss Mehdi, and Mohamed Chaabane. "Stability and robust stability of 2D discrete Fornasini-Marchesini model with multiplicative noise." In 2017 6th International Conference on Systems and Control (ICSC). IEEE, 2017. http://dx.doi.org/10.1109/icosc.2017.7958727.

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