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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.

On the admissible perturbations for discrete systems

Rachik M., Abdelhak A.

Archives of Control Sciences

2002

Vol. 12, no. 3

301-313

We consider a discrete system described by xi+1=Axi, i>0 with the output function yi=Cxi, i>0 which is subject to the constraints (...). Then we investigate the admissible nonlinear perturbations (Ni)i, i.e., the ones such that the corresponding perturbed output function (...) remains in the constraints set omega for all i>0.