Stabilization for 2-D Systems

Owing to wide application background of 2-D systems, stabilization analysis of 2-D systems has become an important field of research. Many practical systems are usually modeled as 2-D systems, such as signal and image processing [34], thermal processing [30], and metal rolling processing [101]. Therefore, considerable interests have been attracted in stabilization analysis of the 2-D systems. In recent years, stabilization of 2-D systems are mainly studied in delay-dependent stabilization conditions which have less conservative than delay-independent ones [107] and [106]. Until now, study of 2-D discrete systems is mainly on using shift operator. However, parameters in traditional discrete-time systems don’t tend to the ones in corresponding continuous-time systems when sampling frequencies are gradually increased.