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Stability and stabilization of the subclass of 2D systems modeled as descriptor systems

Ladder circuits are a member of a class of spatially interconnected systems and can be considered as two-dimensional (2D) systems where information is propagated in two separate directions, i.e., in time and space represented by a node number. In previous work, results on the modeling, stability analysis and stabilization of such systems were given but in some cases a descriptor-like system model can result and hence these earlier results cannot be applied. This paper gives new results on the stability and stabilization of examples described by such a descriptor system model.