Relevant bibliographies by topics / 2D Roesser models

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

Academic literature on the topic '2D Roesser models'

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Published: 1 February 2023

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Journal articles on the topic "2D Roesser models"

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Bachelier, Olivier, Nima Yeganefar, Driss Mehdi, and Wojciech Paszke. "On Stabilization of 2D Roesser Models." IEEE Transactions on Automatic Control 62, no. 5 (May 2017): 2505–11. http://dx.doi.org/10.1109/tac.2016.2601238.

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Bachelier, Olivier, Wojciech Paszke, Nima Yeganefar, Driss Mehdi, and Abdelmadjid Cherifi. "LMI Stability Conditions for 2D Roesser Models." IEEE Transactions on Automatic Control 61, no. 3 (March 2016): 766–70. http://dx.doi.org/10.1109/tac.2015.2444051.

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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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Busłowicz, Mikołaj, and Andrzej Ruszewski. "Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems." International Journal of Applied Mathematics and Computer Science 22, no. 2 (June 1, 2012): 401–8. http://dx.doi.org/10.2478/v10006-012-0030-9.

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Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systemsAsymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.
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Napp, Diego, Ricardo Pereira, Raquel Pinto, and Paula Rocha. "Realization of 2D (2,2)–Periodic Encoders by Means of 2D Periodic Separable Roesser Models." International Journal of Applied Mathematics and Computer Science 29, no. 3 (September 1, 2019): 527–39. http://dx.doi.org/10.2478/amcs-2019-0039.

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Abstract It is well known that convolutional codes are linear systems when they are defined over a finite field. A fundamental issue in the implementation of convolutional codes is to obtain a minimal state representation of the code. Compared with the literature on one-dimensional (1D) time-invariant convolutional codes, there exist relatively few results on the realization problem for time-varying 1D convolutional codes and even fewer if the convolutional codes are two-dimensional (2D). In this paper we consider 2D periodic convolutional codes and address the minimal state space realization problem for this class of codes. This is, in general, a highly nontrivial problem. Here, we focus on separable Roesser models and show that in this case it is possible to derive, under weak conditions, concrete formulas for obtaining a 2D Roesser state space representation. Moreover, we study minimality and present necessary conditions for these representations to be minimal. Our results immediately lead to constructive algorithms to build these representations.
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Rapisarda, P. "Discrete Roesser state models from 2D frequency data." Multidimensional Systems and Signal Processing 30, no. 2 (March 31, 2018): 591–610. http://dx.doi.org/10.1007/s11045-018-0572-6.

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Kaczorek, Tadeusz. "Positive Switched 2D Linear Systems Described by the Roesser Models." European Journal of Control 18, no. 3 (January 2012): 239–46. http://dx.doi.org/10.3166/ejc.18.239-246.

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Ntogramatzidis, Lorenzo, and Michael Cantoni. "LQ optimal control for 2D Roesser models of finite extent." Systems & Control Letters 58, no. 7 (July 2009): 482–90. http://dx.doi.org/10.1016/j.sysconle.2009.02.006.

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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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Kaczorek, Tadeusz. "Reachability and minimum energy control of nonnegative 2D Roesser type models." IFAC Proceedings Volumes 32, no. 2 (July 1999): 3041–46. http://dx.doi.org/10.1016/s1474-6670(17)56519-2.

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Dissertations / Theses on the topic "2D Roesser models"

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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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Pinho, Telma Daniela Pereira de. "Minimal state-space realizations of 2D convolutional codes." Doctoral thesis, 2014. http://hdl.handle.net/10773/12868.

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Doutoramento em Matemática
In this thesis we consider two-dimensional (2D) convolutional codes. As happens in the one-dimensional (1D) case one of the major issues is obtaining minimal state-space realizations for these codes. It turns out that the problem of minimal realization of codes is not equivalent to the minimal realization of encoders. This is due to the fact that the same code may admit different encoders with different McMillan degrees. Here we focus on the study of minimality of the realizations of 2D convolutional codes by means of separable Roesser models. Such models can be regarded as a series connection between two 1D systems. As a first step we provide an algorithm to obtain a minimal realization of a 1D convolutional code starting from a minimal realization of an encoder of the code. Then, we restrict our study to two particular classes of 2D convolutional codes. The first class to be considered is the one of codes which admit encoders of type n 1. For these codes, minimal encoders (i.e., encoders for which a minimal realization is also minimal as a code realization) are characterized enabling the construction of minimal code realizations starting from such encoders. The second class of codes to be considered is the one constituted by what we have called composition codes. For a subclass of these codes, we propose a method to obtain minimal realizations by means of separable Roesser models.
Nesta tese consideramos códigos convolucionais a duas dimensões (2D). Como acontece no caso unidimensional (1D) uma das questões fundamentais neste contexto diz respeito à obtenção de realizações mínimas de espaço de estados para estes códigos. O problema da realizacão mínima de códigos não é equivalente ao problema da realizacão mínima de codificadores. Tal acontece uma vez que um dado código admite diferentes codificadores com diferentes graus de McMillan. Nesta tese, focamos a nossa atencão no estudo da minimalidade de realizações de códigos convolucionais 2D através de modelos de Roesser separáveis. Tais modelos podem ser encarados como a conexão em série de dois sistemas 1D. Numa primeira fase propomos um procedimento que possibilita obter realizações mínimas de um código convolutional 1D a partir de realizações mínimas de um codificador desse código. De seguida, restringimos o nosso estudo a duas classes particulares de códigos convolucionais 2D. A primeira classe a ser considerada é a classe de códigos que admite codificadores do tipo n 1. Para estes códigos, são caracterizados os codificadores mínimos (i.e. codificadores para os quais uma realização mínima também é mínima enquanto realização do código), possibilitando a construção de realizações mínimas de códigos a partir dos seus codificadores mínimos. A segunda classe a ser considerada é a classe constituída por códigos a que demos o nome de "composition codes". Para uma subclasse destes códigos, propomos um método de obtenção de realizações mínimas através de modelos de Roesser separáveis.
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Book chapters on the topic "2D Roesser models"

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Kaczorek, Tadeusz, and Krzysztof Rogowski. "Fractional 2D Linear Systems Described by the Standard and Descriptor Roesser Model with Applications." In Fractional Linear Systems and Electrical Circuits, 209–23. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11361-6_8.

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Conference papers on the topic "2D Roesser models"

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Bachelier, Olivier, Nima Yeganefar, Driss Mehdi, and Wojciech Paszke. "State feedback structural stabilization of 2D discrete Roesser models." In 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS). IEEE, 2015. http://dx.doi.org/10.1109/nds.2015.7332631.

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Rapisarda, P., and Eric Rogers. "Discrete Roesser state models from 2D vector-geometric trajectories." In 2017 10th International Workshop on Multidimensional (nD) Systems (nDS). IEEE, 2017. http://dx.doi.org/10.1109/nds.2017.8070635.

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Farah, Mohamed, Guillaume Mercere, Regis Ouvrard, Thierry Poinot, and Jose Ramos. "Identification of 2D Roesser models by using linear fractional transformations." In 2014 European Control Conference (ECC). IEEE, 2014. http://dx.doi.org/10.1109/ecc.2014.6862307.

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Bachelier, Olivier, Thomas Cluzeau, Driss Mehdi, and Nima Yeganefar. "New LMI conditions for the stability of 2D discrete Roesser models." In 2019 18th European Control Conference (ECC). IEEE, 2019. http://dx.doi.org/10.23919/ecc.2019.8795905.

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Kaczorek, Tadeusz. "Reachability and minimum energy control of positive 2D Roesser type models." In 1999 European Control Conference (ECC). IEEE, 1999. http://dx.doi.org/10.23919/ecc.1999.7100093.

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Bachelier, Olivier, Thomas Cluzeau, Alexandre Rigaud, Francisco Jose Silva Alvarez, and Nima Yeganefar. "Equivalence between different stability definitions for 2D linear discrete Roesser models *." In 2022 IEEE 61st Conference on Decision and Control (CDC). IEEE, 2022. http://dx.doi.org/10.1109/cdc51059.2022.9993248.

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Pakshin, Pavel, Krzysztof Galkowski, and Eric Rogers. "Stability and stabilization of systems modeled by 2D nonlinear stochastic roesser models." In 2011 7th International Workshop on Multidimensional (nD) Systems (nDS 2011). IEEE, 2011. http://dx.doi.org/10.1109/nds.2011.6076865.

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El-Amrani, Abderrahim, Bensalem Boukili, Abdelaziz Hmamed, Ahmed El Hajjaji, and Ismail Boumhidi. "Positive real control for 2D continuous systems roesser models in finite frequency domains." In 2018 4th International Conference on Optimization and Applications (ICOA). IEEE, 2018. http://dx.doi.org/10.1109/icoa.2018.8370511.

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Bachelier, Olivier, and Thomas Cluzeau. "Digression on the equivalence between linear 2D discrete repetitive processes and roesser models." In 2017 10th International Workshop on Multidimensional (nD) Systems (nDS). IEEE, 2017. http://dx.doi.org/10.1109/nds.2017.8070612.

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Maniarski, Robert, Wojciech Paszke, Hongfeng Tao, and Eric Rogers. "Design of ILC laws with conditions for stabilizing linear 2D discrete Roesser models." In 2022 IEEE 61st Conference on Decision and Control (CDC). IEEE, 2022. http://dx.doi.org/10.1109/cdc51059.2022.9993063.

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