Projekter pr. år
We consider the safety problem of piecewise-deterministic Markov processes (PDMP). These are systems that have deterministic dynamics and stochastic jumps, where both the time and the destination of the jumps are stochastic. Specifically, we solve a p-safety problem, where we identify the set of initial states from which the probability to reach designated unsafe states is at most 1-p. Based on the knowledge of the full generator of the PDMP, we are able to develop a system of partial differential equations describing the connection between unsafe and initial states. We then show that by using the moment method, we can translate the infinite-dimensional optimisation problem searching for the largest set of p-safe states to a finite dimensional polynomial optimisation problem. We have implemented this technique on top of GloptiPoly and show how to apply it to a numerical example.
|Titel||HSCC '16 Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control|
|Forlag||Association for Computing Machinery|
|Status||Udgivet - 2016|
|Begivenhed||8th Cyber Physical Systems Week (CPS Week): 19th ACM International Conference on Hybrid Systems: Computation and Control - Vienna, Østrig|
Varighed: 12 apr. 2016 → 14 apr. 2016
|Konference||8th Cyber Physical Systems Week (CPS Week)|
|Periode||12/04/2016 → 14/04/2016|
FingeraftrykDyk ned i forskningsemnerne om 'Safety Verification of Piecewise-Deterministic Markov Processes'. Sammen danner de et unikt fingeraftryk.
- 1 Afsluttet
CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation
Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Projekter: Projekt › Forskning