## Abstract

In this work, we jointly exploit tools from graph signal processing and control theory to drive a bandlimited graph signal that is being diffused on a random time-varying graph from a subset of nodes. As our main contribution, we rely only on the statistics of the graph to introduce the concept of controllability in the mean, and therefore drive the signal on the expected graph to a desired bandlimited state. A mean-square error (MSE) analysis is performed for two main tasks: i) to highlight the role played by the signal bandwidth and the control nodes to the deviation from the mean signal of a particular realization; and ii) to select the control nodes and design the control signal that minimize this MSE. Numerical results validate the introduced controllability in the mean framework and show its ability to cope with time-varying topologies.

Original language | English |
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Title of host publication | Proceedings 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 |

Place of Publication | Piscataway, NJ |

Publisher | IEEE |

Pages | 4169-4173 |

Number of pages | 5 |

ISBN (Electronic) | 978-1-5386-4658-8 |

ISBN (Print) | 978-1-5386-4659-5 |

DOIs | |

Publication status | Published - 2018 |

Event | 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018: Signal Processing and Artificial Intelligence: Changing the World - Calgary Telus Convention Center (CTCC), Calgary, Canada Duration: 15 Apr 2018 → 20 Apr 2018 https://2018.ieeeicassp.org |

### Conference

Conference | 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 |
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Country | Canada |

City | Calgary |

Period | 15/04/18 → 20/04/18 |

Internet address |

## Keywords

- Complex networks
- Control
- Graph signal processing
- Random graphs
- Time-varying graphs