# 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} }

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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