Induced l_∞ stability of fixed-point digital filters without overflow oscillations and instability due to finite word length effects

This article studies a new criterion for the induced l_∞ stability of fixed-point statespace digital filters without overflow oscillations and instability due to finite word length effects. The criterion not only guarantees exponential stability but also reduces the effect of external interference to an induced l_∞ norm constraint. We present a numerical example, which demonstrates the effectiveness of the proposed criterion.