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Title: :  LMI based Stability criteria for 2-D PSV system described by FM-2 Model
PaperId: :  7240
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 4 Issue 1 2018
DUI:    16.0415/IJARIIE-7240
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Prashant K ShahSVNIT,Surat

Abstract

Electronics and Communication
2-D periodically shift varying (PSV) filters, Givone–Roesser model, stability, Linear Matrix inequality, Fornasini-Marchesini (FM) model
Stability analysis is the key issue for the two-dimensional (2-D) discrete time system. Linear state-space models describing 2-D discrete systems have been proposed by several researchers. A popular model, called Fornasini-Marchesini (FM) second model was proposed by Fornasini and Marchesini in 1978. An important key issue of practical importance in the two-dimensional (2-D) discrete system is stability analysis. This paper presents an analysis of the existing literature for the same. Also, we propose two results for sufficient conditions of stability criteria for 2 -D PSV Filters described by FM-2 Model. Periodically Shift Varying (PSV) filters are having numerous applications and hence its stability analysis has gained increased importance. LMI (Linear Matrix Inequality) based criteria has dual advantage of relaxed result as well as ease of implementation due to software tools like MATLAB LMI TOOLBOX. For that we have taken example of and analyzed stability criteria for FM2 model and various stability analyses have been done.

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IJARIIE Prashant K Shah. "LMI based Stability criteria for 2-D PSV system described by FM-2 Model" International Journal Of Advance Research And Innovative Ideas In Education Volume 4 Issue 1 2018 Page 101-114
MLA Prashant K Shah. "LMI based Stability criteria for 2-D PSV system described by FM-2 Model." International Journal Of Advance Research And Innovative Ideas In Education 4.1(2018) : 101-114.
APA Prashant K Shah. (2018). LMI based Stability criteria for 2-D PSV system described by FM-2 Model. International Journal Of Advance Research And Innovative Ideas In Education, 4(1), 101-114.
Chicago Prashant K Shah. "LMI based Stability criteria for 2-D PSV system described by FM-2 Model." International Journal Of Advance Research And Innovative Ideas In Education 4, no. 1 (2018) : 101-114.
Oxford Prashant K Shah. 'LMI based Stability criteria for 2-D PSV system described by FM-2 Model', International Journal Of Advance Research And Innovative Ideas In Education, vol. 4, no. 1, 2018, p. 101-114. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/LMI_based_Stability_criteria_for_2_D_PSV_system_described_by_FM_2_Model_ijariie7240.pdf (Accessed : 26 July 2018).
Harvard Prashant K Shah. (2018) 'LMI based Stability criteria for 2-D PSV system described by FM-2 Model', International Journal Of Advance Research And Innovative Ideas In Education, 4(1), pp. 101-114IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/LMI_based_Stability_criteria_for_2_D_PSV_system_described_by_FM_2_Model_ijariie7240.pdf (Accessed : 26 July 2018)
IEEE Prashant K Shah, "LMI based Stability criteria for 2-D PSV system described by FM-2 Model," International Journal Of Advance Research And Innovative Ideas In Education, vol. 4, no. 1, pp. 101-114, Jan-Feb 2018. [Online]. Available: https://ijariie.com/AdminUploadPdf/LMI_based_Stability_criteria_for_2_D_PSV_system_described_by_FM_2_Model_ijariie7240.pdf [Accessed : 26 July 2018].
Turabian Prashant K Shah. "LMI based Stability criteria for 2-D PSV system described by FM-2 Model." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 4 number 1 (26 July 2018).
Vancouver Prashant K Shah. LMI based Stability criteria for 2-D PSV system described by FM-2 Model. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2018 [Cited : 26 July 2018]; 4(1) : 101-114. Available from: https://ijariie.com/AdminUploadPdf/LMI_based_Stability_criteria_for_2_D_PSV_system_described_by_FM_2_Model_ijariie7240.pdf
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