Formal verification of unknown discrete-and continuous-time systems: A data-driven approach

A Nejati, A Lavaei, P Jagtap… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article is concerned with a formal verification scheme for both discrete-and continuous-
time deterministic systems with unknown mathematical models. The main target is to verify …

Probabilistic safety guarantees for Markov decision processes

R Wisniewski, ML Bujorianu - IEEE Transactions on Automatic …, 2023 - ieeexplore.ieee.org
This article aims to incorporate safety specifications into Markov decision processes.
Explicitly, we address the minimization problem up to a stop** time with safety constraints …

Compositional construction of control barrier functions for continuous-time stochastic hybrid systems

A Nejati, S Soudjani, M Zamani - Automatica, 2022 - Elsevier
In this work, we propose a compositional framework for the construction of control barrier
functions for networks of continuous-time stochastic hybrid systems enforcing complex logic …

Temporal logic verification of stochastic systems using barrier certificates

P Jagtap, S Soudjani, M Zamani - International Symposium on Automated …, 2018 - Springer
This paper presents a methodology for temporal logic verification of discrete-time stochastic
systems. Our goal is to find a lower bound on the probability that a complex temporal …

A scenario approach to risk-aware safety-critical system verification

P Akella, M Ahmadi, AD Ames - arxiv preprint arxiv:2203.02595, 2022 - arxiv.org
With the growing interest in deploying robots in unstructured and uncertain environments,
there has been increasing interest in factoring risk into safety-critical control development …

Compositional synthesis of control barrier certificates for networks of stochastic systems against ω-regular specifications

M Anand, A Lavaei, M Zamani - Nonlinear Analysis: Hybrid Systems, 2024 - Elsevier
This paper is concerned with a compositional scheme for the construction of control barrier
certificates for interconnected discrete-time stochastic systems. The main objective is to …

Compositional construction of control barrier certificates for large-scale stochastic switched systems

A Nejati, S Soudjani, M Zamani - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
In this letter, we propose a compositional framework for the construction of control barrier
certificates for large-scale stochastic switched systems accepting multiple control barrier …

Compositional construction of safety controllers for networks of continuous-space POMDPs

N Jahanshahi, A Lavaei… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we propose a compositional framework for the synthesis of safety controllers
for networks of partially observable discrete-time stochastic control systems (also known as …

Safety of stochastic systems: An analytic and computational approach

R Wisniewski, LM Bujorianu - Automatica, 2021 - Elsevier
We refine the concept of stochastic reach avoidance for a general class of Markov processes
introducing a threshold of p for the reaching probability. This new problem is called p-safety …

Scalable synthesis of safety barrier certificates for networks of stochastic switched systems

A Lavaei, E Frazzoli - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
In this paper, we propose a compositional scheme for the safety controller synthesis of
stochastic switched networks with dwell-time conditions. The proposed framework is based …