TY - GEN
T1 - Herdable Systems Over Signed, Directed Graphs
AU - Ruf, Sebastian F.
AU - Egerstedt, Magnus
AU - Shamma, Jeff S.
N1 - KAUST Repository Item: Exported on 2021-08-27
Acknowledgements: The research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST).
PY - 2018/8/17
Y1 - 2018/8/17
N2 - This paper considers the notion of herdability, a set-based reachability condition, which asks whether the state of a system can be controlled to be element-wise larger than a non-negative threshold. The basic theory of herdable systems is presented, including a necessary and sufficient condition for herdability. This paper then considers the impact of the underlying graph structure of a linear system on the herdability of the system, for the case where the graph is represented as signed and directed. By classifying nodes based on the length and sign of walks from an input, we find a class of completely herdable systems as well as provide a complete characterization of nodes that can be herded in systems with an underlying graph that is a directed out-branching rooted at a single input.
AB - This paper considers the notion of herdability, a set-based reachability condition, which asks whether the state of a system can be controlled to be element-wise larger than a non-negative threshold. The basic theory of herdable systems is presented, including a necessary and sufficient condition for herdability. This paper then considers the impact of the underlying graph structure of a linear system on the herdability of the system, for the case where the graph is represented as signed and directed. By classifying nodes based on the length and sign of walks from an input, we find a class of completely herdable systems as well as provide a complete characterization of nodes that can be herded in systems with an underlying graph that is a directed out-branching rooted at a single input.
UR - http://hdl.handle.net/10754/627562
UR - https://ieeexplore.ieee.org/document/8431101/
UR - http://www.scopus.com/inward/record.url?scp=85052596811&partnerID=8YFLogxK
U2 - 10.23919/ACC.2018.8431101
DO - 10.23919/ACC.2018.8431101
M3 - Conference contribution
AN - SCOPUS:85052596811
SN - 9781538654286
SP - 1807
EP - 1812
BT - 2018 Annual American Control Conference (ACC)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -