## Abstract

In this paper, we tackle the problem of selecting a sparse data transmission sequence for a networked control system while guaranteeing a certain {\mathcal{L}-2}-induced norm bound with respect to an exogenous disturbance input. As the main contribution of this work, for every periodic transmission sequence, we provide a transmission sequence counterpart, aperiodic in general, that results in fewer or at most the same number of transmissions while still guaranteeing an {\mathcal{L}-2} control policy with the same {\mathcal{L}-2}-induced norm bound as that of the periodic transmission policy. In this sense, the proposed transmission sequence is called {\mathcal{L}-2}-consistent. Moreover, we show that as the horizon approaches infinity, the proposed {\mathcal{L}-2}consistent transmission sequence counterpart of every periodic transmission sequence approaches a periodic transmission sequence with an equal or larger time period.

Original language | English |
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Title of host publication | 2019 IEEE 58th Conference on Decision and Control, CDC 2019 |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 2622-2627 |

Number of pages | 6 |

ISBN (Electronic) | 9781728113982 |

DOIs | |

Publication status | Published - Dec 2019 |

Event | 58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 Conference number: 58 https://cdc2019.ieeecss.org/ |

### Conference

Conference | 58th IEEE Conference on Decision and Control, CDC 2019 |
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Abbreviated title | CDC 2019 |

Country/Territory | France |

City | Nice |

Period | 11/12/19 → 13/12/19 |

Internet address |