E. Fornasini et Me. Valcher, Stability properties and periodic evolutions of bilinear systems in input-output form, IEEE AUTO C, 44(6), 1999, pp. 1197-1202
Bilinear systems in input-output form are introduced and represented by mea
ns of suitable rational functions in two indeterminates. Necessary and suff
icient conditions for bounded-input/bounded-output (BIBO) stability are der
ived and compared with analogous results on two-dimensional systems stabili
ty. Several features of the output evolutions corresponding to finite suppo
rt as web as to periodic input sequences are discussed and related to the p
olar structure of the rational functions describing the input-output maps.