LMI based Stability criteria for 2-D PSV system described by FM-2 Model

Electronics and Communication

Stability analysis is the key issue for the two-dimensional (2-D) discrete time system. Linear state-space models describing 2-D discrete systems have been proposed by several researchers. A popular model, called Fornasini-Marchesini (FM) second model was proposed by Fornasini and Marchesini in 1978. An important key issue of practical importance in the two-dimensional (2-D) discrete system is stability analysis. This paper presents an analysis of the existing literature for the same. Also, we propose two results for sufficient conditions of stability criteria for 2 -D PSV Filters described by FM-2 Model. Periodically Shift Varying (PSV) filters are having numerous applications and hence its stability analysis has gained increased importance. LMI (Linear Matrix Inequality) based criteria has dual advantage of relaxed result as well as ease of implementation due to software tools like MATLAB LMI TOOLBOX. For that we have taken example of and analyzed stability criteria for FM2 model and various stability analyses have been done.

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