Stability and positive observer design for positive 2D discrete-time system with multiple delays

Jian Shen and Weiqun Wang

International Journal of Systems Science, 2017, vol. 48, issue 6, 1136-1145

Abstract: This paper addresses the problems of stability and positive observation for positive two-dimensional (2D) discrete-time systems in Roesser model with multiple delays. A novel proof is provided for the necessary and sufficient conditions of asymptotic stability for the positive 2D systems. Based on the obtained results, necessary and sufficient conditions are proposed for the existence of a 2D positive observer. All the proposed conditions are in terms of linear matrix inequalities.

Date: 2017
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DOI: 10.1080/00207721.2016.1239144

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