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Robust positive invariance and ultimate boundedness of nonlinear systems
In this article the problem of characterizing sets, described by vector nonlinear inequalities of the form v(x) = w, as robustly positively invariant and targets of uniformly ultimate bounded nonlinear systems is investigated. The class of general parameter uncertain continuous-time dynamical systems affected by exogenous disturbances is considered. The approach is based on establishing an associated monotone nonlinear comparison system. A numerical example is presented to illustrate the approach