Regular Papers
International Journal of Control, Automation and Systems 2018; 16(6): 2814-2821
Published online October 30, 2018
https://doi.org/10.1007/s12555-017-0464-9
© The International Journal of Control, Automation, and Systems
LP Conditions for Stability and Stabilization of Positive 2D Discrete Statedelayed Roesser Models
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.
Keywords Discrete linear state-delayed 2D systems, linear programing, memory controller, memoryless controller, positive 2D Roesser model, stability, stabilization.
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Regular Papers
International Journal of Control, Automation and Systems 2018; 16(6): 2814-2821
Published online December 1, 2018 https://doi.org/10.1007/s12555-017-0464-9
Copyright © The International Journal of Control, Automation, and Systems.
LP Conditions for Stability and Stabilization of Positive 2D Discrete Statedelayed Roesser Models
Mohamed Bolajraf
Hassan II University
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.
Keywords: Discrete linear state-delayed 2D systems, linear programing, memory controller, memoryless controller, positive 2D Roesser model, stability, stabilization.
Vol. 23, No. 3, pp. 683~972
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