### Abstract

In this paper, a distributed secure state estimation problem that is state estimation in distributed observer system in the presence of attacks is mainly discussed. We introduce the notion of graph-based distributed observer representation, virtual state, and a subgroup to derive a condition for the secure state estimation. By the graph-based distributed observer representation, we can consider the system's observability and communication pass connectivity as graph connectivity at once. With the notion of virtual state and the subgroup, we derive the state estimation condition which is the inequality relationship between the number of the allowable attacked observer and the graph connectivity as a theorem. Finally, a simple numerical example verifies the theorem.

Original language | English |
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Title of host publication | 2019 12th Asian Control Conference, ASCC 2019 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 1683-1688 |

Number of pages | 6 |

ISBN (Electronic) | 9784888983006 |

Publication status | Published - 2019 Jun |

Event | 12th Asian Control Conference, ASCC 2019 - Kitakyushu-shi, Japan Duration: 2019 Jun 9 → 2019 Jun 12 |

### Publication series

Name | 2019 12th Asian Control Conference, ASCC 2019 |
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### Conference

Conference | 12th Asian Control Conference, ASCC 2019 |
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Country | Japan |

City | Kitakyushu-shi |

Period | 19/6/9 → 19/6/12 |

### ASJC Scopus subject areas

- Computer Science Applications
- Control and Optimization
- Mechanical Engineering

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## Cite this

*2019 12th Asian Control Conference, ASCC 2019*(pp. 1683-1688). [8765155] (2019 12th Asian Control Conference, ASCC 2019). Institute of Electrical and Electronics Engineers Inc..