On the Herdability of Linear Time-Invariant Systems with Special Topological Structures
Systems and Control
2022-04-20 v1 Systems and Control
Abstract
In this paper, we investigate the herdability property, namely the capability of a system to be driven towards the (interior of the) positive orthant, for linear time-invariant state-space models. Herdability of certain matrix pairs (A,B), where A is the adjacency matrix of a multi-agent network, and B is a selection matrix that singles out a subset of the agents (the "network leaders"), is explored. The cases when the graph associated with A, G(A), is directed and clustering balanced (in particular, structurally balanced), or it has a tree topology and there is a single leader, are investigated.
Keywords
Cite
@article{arxiv.2204.08536,
title = {On the Herdability of Linear Time-Invariant Systems with Special Topological Structures},
author = {Giulia De Pasquale and Maria Elena Valcher},
journal= {arXiv preprint arXiv:2204.08536},
year = {2022}
}
Comments
Provisionally accepted in Automatica, currently under review. arXiv admin note: substantial text overlap with arXiv:2108.01579