Stability criterion for fixed-point state-space digital filters using overflow arithmetics

In this paper, a new criterion for checking the global asymptotic stability of fixed-point state-space digital filters with time-varying delay and overflow arithmetics is presented. Compared with some existing results, a distinctive feature of the proposed criterion is that it is multi-bound-dependent criterion and can be less conservative than existing results. Two examples are given to show this improvement over the existing conditions.