On Maximal Robust Positively Invariant Sets in Constrained Nonlinear Systems

Willem Esterhuizen; Tim Aschenbruck; Stefan Streif

doi:10.1016/j.automatica.2020.109044

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arXiv · 1904.01985

On Maximal Robust Positively Invariant Sets in Constrained Nonlinear Systems

Willem Esterhuizen·Tim Aschenbruck·Stefan Streif

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Abstract

In this technical communique we study the maximal robust positively invariant set for state-constrained continuous-time nonlinear systems subjected to a bounded disturbance. Extending results from the theory of barriers, we show that this set is closed and that its boundary consists of two complementary parts, one of which we name the invariance barrier, which consists of trajectories that satisfy the maximum principle.

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Willem Esterhuizen, Tim Aschenbruck, Stefan Streif. 2019-04-03. On Maximal Robust Positively Invariant Sets in Constrained Nonlinear Systems. https://doi.org/10.1016/j.automatica.2020.109044

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