Abstract
This paper deals with the stability and stabilization problems for positive 2D systems described by a linear discrete-time Roesser model with delays. A linear programming (LP) approach is used to establish the necessary and sufficient conditions for asymptotic stability of the positive 2D state delayed Roesser model. Furthermore, a design procedure for memory, non-negative memory and memoryless state feedback controllers is given by solving a certain LP problem. Two examples are included to illustrate the effectiveness of the proposed results.
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Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Myo Taeg Lim.
Mohamed Bolajraf received the B.S. degree in Electrical Engineering from Abdelmalek Essaadi University in 2004, the Master’s and the Doctoral degrees in System Engineering and Automation from Valladolid University, in 2009, and 2012, respectively. He is currently an Associate Professor at Faculty of Sciences Ain Chock, Casablanca, Morocco. His research interests include linear control and robust observation with applications.
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Bolajraf, M. LP Conditions for Stability and Stabilization of Positive 2D Discrete State-delayed Roesser Models. Int. J. Control Autom. Syst. 16, 2814–2821 (2018). https://doi.org/10.1007/s12555-017-0464-9
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DOI: https://doi.org/10.1007/s12555-017-0464-9