# Minimal reachability problems

@article{Tzoumas2015MinimalRP,
title={Minimal reachability problems},
author={Vasileios Tzoumas and Ali Jadbabaie and George J. Pappas},
journal={2015 54th IEEE Conference on Decision and Control (CDC)},
year={2015},
pages={4220-4225}
}
• Published 24 March 2015
• Mathematics, Computer Science
• 2015 54th IEEE Conference on Decision and Control (CDC)
In this paper, we address a collection of state space reachability problems, for linear time-invariant systems, using a minimal number of actuators. In particular, we design a zero-one diagonal input matrix B, with a minimal number of non-zero entries, so that a specified state vector is reachable from a given initial state. Moreover, we design a B so that a system can be steered either into a given subset, or sufficiently close to a desired state. This work extends the results of [1] and [2…
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