The analysis of a system model with special structured properties is p
resented in this paper. In particular, the analytical and simulation t
echniques for computing the system response in the context of a descri
ptor-like model is developed. In addition, the stability theorems for
this model are also developed. This includes the formulation of both t
he classical and modern stability methods. The latter method leads to
a generalized form of the Liapunov equation. The computational saving
associated with using the methods developed here is also discussed.