### Abstract

Original language | English |
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Title of host publication | 2014 European Control Conference (ECC) 24-27 June 2014, Strasbourg, France |

Place of Publication | Piscataway: IEEE Service Center. |

Publisher | EUCA |

Pages | 1619-1624 |

ISBN (Print) | 978-3-9524269-1-3 |

DOIs | |

Publication status | Published - 2014 |

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### Cite this

*2014 European Control Conference (ECC) 24-27 June 2014, Strasbourg, France*(pp. 1619-1624). Piscataway: IEEE Service Center.: EUCA. https://doi.org/10.1109/ECC.2014.6862601

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*2014 European Control Conference (ECC) 24-27 June 2014, Strasbourg, France.*EUCA, Piscataway: IEEE Service Center., pp. 1619-1624. https://doi.org/10.1109/ECC.2014.6862601

**Root locus analysis for randomly sampled systems.** / Guerreiro Tomé Antunes, D.J.; Heemels, W.P.M.H.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Root locus analysis for randomly sampled systems

AU - Guerreiro Tomé Antunes, D.J.

AU - Heemels, W.P.M.H.

PY - 2014

Y1 - 2014

N2 - Root locus analysis is a graphical method to determine how the roots of the characteristic equation of a linear time-invariant feedback loop change with the loop gain. In this paper we show that a similar analysis can be carried out for randomly sampled systems, i.e., controlled linear systems sampled at random times spaced by independent and identically distributed time-varying intervals. For such systems, the roots of a characteristic equation determine the behavior of expected values of signals in the loop. The root locus analysis in this context is especially useful for positive systems, for which (almost sure) stability can be concluded if the roots of the characteristic equation have a negative real part, and it is particularly simple when the distribution of the intervals between sampling times is exponential or Erlang.

AB - Root locus analysis is a graphical method to determine how the roots of the characteristic equation of a linear time-invariant feedback loop change with the loop gain. In this paper we show that a similar analysis can be carried out for randomly sampled systems, i.e., controlled linear systems sampled at random times spaced by independent and identically distributed time-varying intervals. For such systems, the roots of a characteristic equation determine the behavior of expected values of signals in the loop. The root locus analysis in this context is especially useful for positive systems, for which (almost sure) stability can be concluded if the roots of the characteristic equation have a negative real part, and it is particularly simple when the distribution of the intervals between sampling times is exponential or Erlang.

U2 - 10.1109/ECC.2014.6862601

DO - 10.1109/ECC.2014.6862601

M3 - Conference contribution

SN - 978-3-9524269-1-3

SP - 1619

EP - 1624

BT - 2014 European Control Conference (ECC) 24-27 June 2014, Strasbourg, France

PB - EUCA

CY - Piscataway: IEEE Service Center.

ER -