Admissible Disturbance Sets for Discrete Perturbed Systems

where w = ((ei)i≥0, (fi)i≥0 ) are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function y i = Cx w i , i ≥ 0. Let ε be a tolerance index on the output. The disturbance w is said to be ε-admissible if ‖y i −yi‖ ≤ ε, ∀ i ≥ 0, where (yi)i≥0 is the output signal associated with the case of an uninfected system. The set of all ε-admissible disturbances is the admissible set W(ε). The characterization of W(ε) is investigated and numerical simulations are given.