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arXiv · 1902.05239

A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems

Andreas Ernst·Lars Grüne·Janosch Rieger
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Abstract

We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with fixed facet normals as an outer approximation of the limit set. In particular, this approach does not rely on forward iteration of finite-time reachable sets.

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Andreas Ernst, Lars Grüne, Janosch Rieger. 2019-02-14. A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems. https://arxiv.org/abs/1902.05239

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