Abstract
In this paper, a method for computing reachable sets of uncertain nonlinear continuous-time systems is proposed. The approach, based on Linear Parameter-Varying (LPV) inclusions of nonlinear systems, relies on a time-varying change of coordinates which ensures some monotony properties in the new base. A sufficient condition ensuring the non divergence of the enclosures is given. The efficiency of the proposed technique is illustrated through computer simulations and it is compared with simulations resulting from a method proposed in previous works relying on comparison theorems for differential inequalities using Müller's existence theorem.
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