Automated verification and synthesis of stochastic hybrid systems: A survey

A Lavaei, S Soudjani, A Abate, M Zamani - Automatica, 2022 - Elsevier
Stochastic hybrid systems have received significant attentions as a relevant modeling
framework describing many systems, from engineering to the life sciences: they enable the …

Robust control for dynamical systems with non-gaussian noise via formal abstractions

T Badings, L Romao, A Abate, D Parker… - Journal of Artificial …, 2023 - jair.org
Controllers for dynamical systems that operate in safety-critical settings must account for
stochastic disturbances. Such disturbances are often modeled as process noise in a …

Probabilities are not enough: Formal controller synthesis for stochastic dynamical models with epistemic uncertainty

T Badings, L Romao, A Abate, N Jansen - Proceedings of the AAAI …, 2023 - ojs.aaai.org
Capturing uncertainty in models of complex dynamical systems is crucial to designing safe
controllers. Stochastic noise causes aleatoric uncertainty, whereas imprecise knowledge of …

Safety certification for stochastic systems via neural barrier functions

FB Mathiesen, SC Calvert… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
Providing non-trivial certificates of safety for non-linear stochastic systems is an important
open problem. One promising solution to address this problem is the use of barrier functions …

StocHy-automated verification and synthesis of stochastic processes

N Cauchi, A Abate - Proceedings of the 22nd ACM International …, 2019 - dl.acm.org
Stochastic hybrid systems (SHS) are a rich mathematical modelling framework capable of
describing complex systems, where uncertainty and hybrid (that is, both continuous and …

Formal control synthesis for stochastic neural network dynamic models

S Adams, M Lahijanian… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
Neural networks (NNs) are emerging as powerful tools to represent the dynamics of control
systems with complicated physics or black-box components. Due to complexity of NNs …

Formal and efficient synthesis for continuous-time linear stochastic hybrid processes

L Laurenti, M Lahijanian, A Abate… - … on Automatic Control, 2020 - ieeexplore.ieee.org
Stochastic processes are expressive mathematical tools for modeling real-world systems
that are subject to uncertainty. It is hence crucial to be able to formally analyze the behavior …

Certification of iterative predictions in bayesian neural networks

M Wicker, L Laurenti, A Patane… - Uncertainty in …, 2021 - proceedings.mlr.press
We consider the problem of computing reach-avoid probabilities for iterative predictions
made with Bayesian neural network (BNN) models. Specifically, we leverage bound …

Strategy synthesis for partially-known switched stochastic systems

J Jackson, L Laurenti, E Frew… - Proceedings of the 24th …, 2021 - dl.acm.org
We present a data-driven framework for strategy synthesis for partially-known switched
stochastic systems. The properties of the system are specified using linear temporal logic …

Abstraction-based synthesis for stochastic systems with omega-regular objectives

M Dutreix, J Huh, S Coogan - Nonlinear Analysis: Hybrid Systems, 2022 - Elsevier
This paper studies the synthesis of controllers for discrete-time, continuous state stochastic
systems subject to omega-regular specifications using finite-state abstractions. Omega …