  In this paper, we propose that a tree-like network with damage can be modeled
as the product of a fractional-order nominal plant and a fractional-order
multiplicative disturbance, which is well structured and completely
characterized by the damage amount at each damaged component. Such way of
modeling brings us insights about that damaged network's behavior, helps us
design robust controllers under uncertain damages and identify the damage.
Although the main result in this paper is specialized to one model, we believe
that this way of constructing a well-structured disturbance model can be
applied to a class of damaged networks.
