Abstract
A new model reduction method for 2D discrete-time systems via the singular perturbation approach is studied. First, the boundary layer method for 2D non-separable Roesser model is newly formulated, and an iterative algorithm to calculate the asymptotic solutions based on reduced-order models is proposed. Second, a computation algorithm to solve 2D Lyapunov equations is developed and a criterion for the Lyapunov stability test based on low-order 2D Lyapunov equations is provided. Finally, in order to indicate the effectiveness of this method, a design example of 2D IIR digital filters is given.
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