Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input
Optimization and Control
2024-01-05 v3 Systems and Control
Systems and Control
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2309.08222,
title = {Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input},
author = {Shadi Haddad and Pansie Khodary and Abhishek Halder},
journal= {arXiv preprint arXiv:2309.08222},
year = {2024}
}