### Abstract

In this paper, the problem of estimating the probability of performance is addressed. In contrast to previous results in the area of probabilistic robustness, we present an the algorithm providing "hard" deterministic upper and lower bounds on this probability. Emphasis is put on the probability of stability of polynomials whose coefficients are multiaffine functions of the uncertainty. The proposed algorithm is illustrated via numerical examples.

Original language | English (US) |
---|---|

Title of host publication | Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC |

Pages | 3210-3215 |

Number of pages | 6 |

State | Published - Dec 1 2006 |

Event | 45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: Dec 13 2006 → Dec 15 2006 |

### Publication series

Name | Proceedings of the IEEE Conference on Decision and Control |
---|---|

ISSN (Print) | 0191-2216 |

### Other

Other | 45th IEEE Conference on Decision and Control 2006, CDC |
---|---|

Country | United States |

City | San Diego, CA |

Period | 12/13/06 → 12/15/06 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC*(pp. 3210-3215). [4177753] (Proceedings of the IEEE Conference on Decision and Control).

}

*Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC.*, 4177753, Proceedings of the IEEE Conference on Decision and Control, pp. 3210-3215, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 12/13/06.

**Computing hard bounds for probabilistic robustness.** / Dabbene, F.; Lagoa, C.; Tempo, R.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Computing hard bounds for probabilistic robustness

AU - Dabbene, F.

AU - Lagoa, C.

AU - Tempo, R.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - In this paper, the problem of estimating the probability of performance is addressed. In contrast to previous results in the area of probabilistic robustness, we present an the algorithm providing "hard" deterministic upper and lower bounds on this probability. Emphasis is put on the probability of stability of polynomials whose coefficients are multiaffine functions of the uncertainty. The proposed algorithm is illustrated via numerical examples.

AB - In this paper, the problem of estimating the probability of performance is addressed. In contrast to previous results in the area of probabilistic robustness, we present an the algorithm providing "hard" deterministic upper and lower bounds on this probability. Emphasis is put on the probability of stability of polynomials whose coefficients are multiaffine functions of the uncertainty. The proposed algorithm is illustrated via numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=39649111056&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39649111056&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:39649111056

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3210

EP - 3215

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

ER -