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arXiv · 2204.08536

On the Herdability of Linear Time-Invariant Systems with Special Topological Structures

Giulia De Pasquale·Maria Elena Valcher
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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.

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Giulia De Pasquale, Maria Elena Valcher. 2022-04-18. On the Herdability of Linear Time-Invariant Systems with Special Topological Structures. https://arxiv.org/abs/2204.08536

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