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oai:uvadoc.uva.es:10324/467852022-07-18T09:33:09Zcom_10324_35294com_10324_952com_10324_894col_10324_35295

Chaibi, Redouane Hmamed, Abdelaziz Tissir, El Houssaine Tadeo Rico, Fernando Juan 2021-06-07T11:23:42Z 2021-06-07T11:23:42Z 2019 Journal of Control, Automation and Electrical Systems, vol. 30, n. 2, p. 137–147 2195-3880 https://uvadoc.uva.es/handle/10324/46785 10.1007/s40313-018-00433-y 137 2 147 Journal of Control, Automation and Electrical Systems 30 2195-3899 Producción Científica The stabilization of Takagi–Sugeno systems is solved here for the two-dimensional polynomial discrete case, by using the sum-of-squares approach. First, we provide a stabilization condition formulated in terms of polynomial multiple Lyapunov functions. Then, a non-quadratic stabilization condition is developed by applying relaxed stabilization technique. Both conditions can be used for design, by solving them using numerical tools such as SOSTOOLS. A numerical example illustrates the effectiveness of the results. Junta de Castilla y León y EU-FEDER (CLU 2017-09) y (UIC 233) Secretaría de Estado de Investigación, Desarrollo e Innovación (Grant. DPI2014-54530-R) application/pdf eng Springer Nature Publishing AG info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © Springer Nature Publishing AG Attribution-NonCommercial-NoDerivatives 4.0 Internacional Sistemas 2-D discretos Discrete 2-D systems Stabilization Sistemas Takagi-Sugeno Takagi-Sugeno systems 33 Ciencias Tecnológicas Control of Discrete 2-D Takagi–Sugeno Systems via a Sum-of-Squares Approach info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion https://link.springer.com/article/10.1007%2Fs40313-018-00433-y SI