Limit cycles elimination in delta-operator systems

The existence of nonzero equilibria in delta-operator fixed point and block floating point (BFP) systems is investigated and methods for avoiding such equilibria are proposed. In the fixed point case these methods work by map ping the region in which nonzero equilibria may appear to zero. This is pos sible if the region is small. It is also shown that nonzero equilibria and limit cycles of any period can always be avoided by using BFP arithmetic wi th a sufficiently large mantissa wordlength.