### Abstract

A class of large-scale systems with decentralized information structures, such as multi-agent systems, can be represented by a linear system with a generalized frequency variable. In these models agents are modelled through a strictly proper SISO state space model while the supervisory structure, representing the information exchange among the agents, is represented via a linear state-space model. The starting point of the paper is that the agent h(s) and the overall system \mathcal{G}(s) are known through their Markov parameters. Based on these data a condition is given that characterizes compatibility, i.e., the existence of a transfer function G(s) that describes the network and leads to the relation \displaystyle \mathcal{G}(s)=G \left(\frac{1}{h(s)} \right). If compatibility holds, the paper also presents an algorithm to compute the Markov parameters of the unknown transfer function G(s). Then, a minimal state space representation of this transfer function can be computed through the Ho-Kalman algorithm.

Original language | English |
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Title of host publication | 2018 European Control Conference, ECC 2018 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 1441-1446 |

Number of pages | 6 |

ISBN (Electronic) | 9783952426982 |

DOIs | |

Publication status | Published - Nov 27 2018 |

Event | 16th European Control Conference, ECC 2018 - Limassol, Cyprus Duration: Jun 12 2018 → Jun 15 2018 |

### Publication series

Name | 2018 European Control Conference, ECC 2018 |
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### Other

Other | 16th European Control Conference, ECC 2018 |
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Country | Cyprus |

City | Limassol |

Period | 6/12/18 → 6/15/18 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Control and Optimization

### Cite this

*2018 European Control Conference, ECC 2018*(pp. 1441-1446). [8550524] (2018 European Control Conference, ECC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2018.8550524