English

AMYTISS: Parallelized Automated Controller Synthesis for Large-Scale Stochastic Systems

Systems and Control 2020-05-14 v1 Systems and Control

Abstract

In this paper, we propose a software tool, called AMYTISS, implemented in C++/OpenCL, for designing correct-by-construction controllers for large-scale discrete-time stochastic systems. This tool is employed to (i) build finite Markov decision processes (MDPs) as finite abstractions of given original systems, and (ii) synthesize controllers for the constructed finite MDPs satisfying bounded-time high-level properties including safety, reachability and reach-avoid specifications. In AMYTISS, scalable parallel algorithms are designed such that they support the parallel execution within CPUs, GPUs and hardware accelerators (HWAs). Unlike all existing tools for stochastic systems, AMYTISS can utilize high-performance computing (HPC) platforms and cloud-computing services to mitigate the effects of the state-explosion problem, which is always present in analyzing large-scale stochastic systems. We benchmark AMYTISS against the most recent tools in the literature using several physical case studies including robot examples, room temperature and road traffic networks. We also apply our algorithms to a 3-dimensional autonomous vehicle and 7-dimensional nonlinear model of a BMW 320i car by synthesizing an autonomous parking controller.

Keywords

Cite

@article{arxiv.2005.06191,
  title  = {AMYTISS: Parallelized Automated Controller Synthesis for Large-Scale Stochastic Systems},
  author = {Abolfazl Lavaei and Mahmoud Khaled and Sadegh Soudjani and Majid Zamani},
  journal= {arXiv preprint arXiv:2005.06191},
  year   = {2020}
}

Comments

This work is accepted at the 32nd International Conference on Computer-Aided Verification (CAV) as a tool paper

R2 v1 2026-06-23T15:30:30.989Z