On the computation of lambda-contractive sets for linear constrained systems

Moritz Schulze Darup; Mark Cannon

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arXiv · 1606.02919

On the computation of lambda-contractive sets for linear constrained systems

Moritz Schulze Darup·Mark Cannon

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Abstract

We present two theoretical results on the computation of lambda-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal lambda-contractive set with a given precision using 1-step sets. Second, based on the former result, we provide a procedure for choosing lambda so that the associated maximal lambda-contractive set is guaranteed to approximate the maximal controlled invariant set with a given accuracy.

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Moritz Schulze Darup, Mark Cannon. 2016-06-09. On the computation of lambda-contractive sets for linear constrained systems. https://arxiv.org/abs/1606.02919

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