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arXiv · 2309.08222

Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input

Shadi Haddad·Pansie Khodary·Abhishek Halder
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Abstract

We present a semi-analytical method for exact computation of the boundary of the reach set of a single-input controllable linear time invariant (LTI) system with given bounds on its input range. In doing so, we deduce a parametric formula for the boundary of the reach set of an integrator linear system with time-varying bounded input. This formula generalizes recent results on the geometry of an integrator reach set with time-invariant bounded input. We show that the same ideas allow for computing the volume of the LTI reach set.

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Shadi Haddad, Pansie Khodary, Abhishek Halder. 2024-01-03. Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input. https://arxiv.org/abs/2309.08222

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