A new criterion for the global asymptotic stability of 2-D state-space digital filters with two's complement overflow arithmetic

A new criterion for the global asymptotic stability of two-dimensional (2-D) state-space digital filters described by the Roesser model employing two's complement overflow arithmetic is presented. The criterion is compared with a previously reported criterion.

► Stability criterion of 2-D digital filters with 2's complement arithmetic is given.
► The criterion turns out to be an improvement over a previously reported criterion.
► An example highlighting the usefulness of the presented approach is discussed.