A note on the improved LMI-based criterion for global asymptotic stability of 2-D state-space digital filters described by Roesser model using two?s complement overflow arithmetic
We focus on critical issues in a recent approach for stability of 2-D digital filter. It is hard to conceive any situation where the reported approach can be applied. Implication of the approach in the context of 1-D digital filter is discussed.
asymptotic stability finite wordlength effect lyapunov method nonlinear system 2-d discrete system