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Admissible disturbances for perturbed nonlinear discrete systems

Rachik M., Tridane A., Lhous M., Tridane Z.

Archives of Control Sciences

2006

Vol. 16, no. 3

297-314

Consider the discrete perturbed controlled nonlinear system given by { xe (i+1)=Axe(i) + f(ζiui+ωi), i≥0 xe(0)=γx0+ψ The disturbance e is said to be ε-admissible if IIye(i) - y(i)II ≤ε, ∀≥0. The set of all ε-admissible disturbances is the admissible set σ(ε). The characterization of σ(ε) is investigated and practical algorithms with numerical simulation are given. The admissible set σd(ε) for discrete delayed systems is also considered.