### Abstract

The automatic analysis of transient properties of nonlinear dynamical systems is a challenging problem. The problem is even more challenging when complex state-space and timing requirements must be satisfied by the system. Such complex requirements can be captured by Metric Temporal Logic (MTL) specifications. The problem of finding system behaviors that do not satisfy an MTL specification is referred to as MTL falsification. This paper presents an approach for improving stochastic MTL falsification methods by performing local search in the set of initial conditions. In particular, MTL robustness quantifies how correct or wrong is a system trajectory with respect to an MTL specification. Positive values indicate satisfaction of the property while negative values indicate falsification. A stochastic falsification method attempts to minimize the system's robustness with respect to the MTL property. Given some arbitrary initial state, this paper presents a method to compute a descent direction in the set of initial conditions, such that the new system trajectory gets closer to the unsafe set of behaviors. This technique can be iterated in order to converge to a local minimum of the robustness landscape. The paper demonstrates the applicability of the method on some challenging nonlinear systems from the literature.

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

Title of host publication | 2013 American Control Conference, ACC 2013 |

Pages | 4405-4410 |

Number of pages | 6 |

State | Published - Sep 11 2013 |

Event | 2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: Jun 17 2013 → Jun 19 2013 |

### Publication series

Name | Proceedings of the American Control Conference |
---|---|

ISSN (Print) | 0743-1619 |

### Other

Other | 2013 1st American Control Conference, ACC 2013 |
---|---|

Country | United States |

City | Washington, DC |

Period | 6/17/13 → 6/19/13 |

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

## Fingerprint Dive into the research topics of 'Computing descent direction of MTL robustness for non-linear systems'. Together they form a unique fingerprint.

## Cite this

*2013 American Control Conference, ACC 2013*(pp. 4405-4410). [6580518] (Proceedings of the American Control Conference).