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Journal articles on the topic '2D Roesser models'

Author: Grafiati

Published: 1 February 2023

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Kririm, Said, Abdelaziz Hmamed, and Fernando Tadeo. "Robust $$H_{\infty }$$ H ∞ Filtering for Uncertain 2D Singular Roesser Models." Circuits, Systems, and Signal Processing 34, no. 7 (January 20, 2015): 2213–35. http://dx.doi.org/10.1007/s00034-015-9967-x.

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12

Zhang, Guangchen, and Weiqun Wang. "Finite-region stability and finite-region boundedness for 2D Roesser models." Mathematical Methods in the Applied Sciences 39, no. 18 (May 27, 2016): 5757–69. http://dx.doi.org/10.1002/mma.3982.

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13

Chesi, Graziano. "Discussion on: “Positive Switched 2D Linear Systems Described by the Roesser Models”." European Journal of Control 18, no. 3 (January 2012): 247–48. http://dx.doi.org/10.1016/s0947-3580(12)70945-7.

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14

Pinho, Telma, Raquel Pinto, and Paula Rocha. "Realization of 2D convolutional codes of rate $$\frac{1}{n}$$ by separable Roesser models." Designs, Codes and Cryptography 70, no. 1-2 (November 20, 2012): 241–50. http://dx.doi.org/10.1007/s10623-012-9768-1.

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15

Kaczorek, T. "Elimination of Anticipation of a Class of Singular 2D Roesser Models by State Feedbacks." Multidimensional Systems and Signal Processing 16, no. 2 (April 2005): 237–50. http://dx.doi.org/10.1007/s11045-005-6864-7.

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16

Bolajraf, Mohamed. "LP Conditions for Stability and Stabilization of Positive 2D Discrete State-delayed Roesser Models." International Journal of Control, Automation and Systems 16, no. 6 (October 30, 2018): 2814–21. http://dx.doi.org/10.1007/s12555-017-0464-9.

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17

Hua, Dingli, Weiqun Wang, Weiren Yu, and Yixiang Wang. "Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model." IMA Journal of Mathematical Control and Information 36, no. 3 (May 19, 2018): 1033–57. http://dx.doi.org/10.1093/imamci/dny017.

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Abstract This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples.

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18

Rogowski, Krzysztof. "General Response Formula for CFD Pseudo-Fractional 2D Continuous Linear Systems Described by the Roesser Model." Symmetry 12, no. 12 (November 24, 2020): 1934. http://dx.doi.org/10.3390/sym12121934.

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In many engineering problems associated with various physical phenomena, there occurs a necessity of analysis of signals that are described by multidimensional functions of more than one variable such as time t or space coordinates x, y, z. Therefore, in such cases, we should consider dynamical models of two or more dimensions. In this paper, a new two-dimensional (2D) model described by the Roesser type of state-space equations will be considered. In the introduced model, partial differential operators described by the Conformable Fractional Derivative (CFD) definition with respect to the first (horizontal) and second (vertical) variables will be applied. For the model under consideration, the general response formula is derived using the inverse fractional Laplace method. Next, the properties of the solution will be considered. Usefulness of the general response formula will be discussed and illustrated by a numerical example.

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19

Kaczorek, Tadeusz, and Krzysztof Rogowski. "Positivity and stabilization of fractional 2D linear systems described by the Roesser model." International Journal of Applied Mathematics and Computer Science 20, no. 1 (March 1, 2010): 85–92. http://dx.doi.org/10.2478/v10006-010-0006-6.

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Positivity and stabilization of fractional 2D linear systems described by the Roesser modelA new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2DZ-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.

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20

Bachelier, O., T. Cluzeau, A. Rigaud, F. J. Silva Alvarez, and N. Yeganefar. "On exponential stability of a class of descriptor continuous linear 2D Roesser models." International Journal of Control, April 5, 2022, 1–12. http://dx.doi.org/10.1080/00207179.2022.2057872.

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21

Malik, Saddam Hussain, Muhammad Tufail, Muhammad Rehan, and Haroon ur Rashid. "Overflow oscillations‐free realization of discrete‐time 2D Roesser models under quantization and overflow constraints." Asian Journal of Control, April 6, 2021. http://dx.doi.org/10.1002/asjc.2532.

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