The l∞-gain approach has been an essential tool in one-dimensional system theory.
However, limited results have been presented in the literature for the two-dimensional (2-D) …

This paper examines the problem of the local overflow stability and disturbance attenuation
performance analysis of two-dimensional (2-D) Roesser digital filters in the presence of …

This paper proposes a novel linear matrix inequality (LMI)-based stability criterion to avoid
overflow oscillations in 2-D digital filters described by a Roesser state-space model with …

To the present time, stability criteria have been proposed for one-dimensional digital filters
with external interference, but no stability criterion exists for cases where two-dimensional …

A computationally tractable, ie, linear matrix inequality (LMI)-based criterion for the
elimination of overflow oscillations in two-dimensional (2-D) state-space digital filters …

A new criterion for the nonexistence of overflow oscillations in 2-D state-space digital filters
described by Roesser model using saturation arithmetic is presented. The criterion is in the …

This paper establishes a novel criterion for the global asymptotic stability of two-dimensional
fixed-point state-space digital filters described by Roesser model with saturation …

Two-dimensional (2-D) digital filters can be corrupted by external interferences, but no
stability criteria have yet been established. This brief proposes a new l 2-l∞ stability criterion …

A novel criterion for the elimination of overflow oscillations in 2-D state-space digital filters
described by the Roesser model employing two's complement overflow arithmetic is …

In [1], Mertzios introduced two-dimensional (2-D) Lyapunov equations for the covariance
and noise matrices to analyze the output roundoff noise under l_ {2}-norm scaling in 2-D …