Stability of a shift-variant 2-D state-space digital filter

Abstract— Sufficient conditions for stability of time-varying 1D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When “double exponential stability” is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.

• Type: Conference
• Year: 2005
• Where: ISCAS
• Authors: Glen W. Mabey, Tamal Bose, Mei Chen
• Keywords: 2-D Case, Double Exponential Stability, ISCAS 2005, Time-varying 1D Systems