Abstract

This paper presents numerically tractable strict and non-strict linear matrix inequality conditions to the internal stability analysis of 2-D singular discrete-time systems. Two classes of 2-D singular systems are considered: (i) a general singular Fornasini-Marchesini model, and (ii) a singular Roesser model. In addition, the proposed conditions also guarantee that the 2-D singular system is acceptable and jump modes free. Numerical examples are presented to illustrate the proposed approach.

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