Safe control with learned certificates: A survey of neural lyapunov, barrier, and contraction methods for robotics and control

C Dawson, S Gao, C Fan - IEEE Transactions on Robotics, 2023 - ieeexplore.ieee.org
Learning-enabled control systems have demonstrated impressive empirical performance on
challenging control problems in robotics, but this performance comes at the cost of reduced …

Learning safe control for multi-robot systems: Methods, verification, and open challenges

K Garg, S Zhang, O So, C Dawson, C Fan - Annual Reviews in Control, 2024 - Elsevier
In this survey, we review the recent advances in control design methods for robotic multi-
agent systems (MAS), focusing on learning-based methods with safety considerations. We …

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 …

Safe control with learned certificates: A survey of neural lyapunov, barrier, and contraction methods

C Dawson, S Gao, C Fan - arXiv preprint arXiv:2202.11762, 2022 - arxiv.org
Learning-enabled control systems have demonstrated impressive empirical performance on
challenging control problems in robotics, but this performance comes at the cost of reduced …

Exact verification of relu neural control barrier functions

H Zhang, J Wu, Y Vorobeychik… - Advances in neural …, 2023 - proceedings.neurips.cc
Abstract Control Barrier Functions (CBFs) are a popular approach for safe control of
nonlinear systems. In CBF-based control, the desired safety properties of the system are …

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 …

Compositional policy learning in stochastic control systems with formal guarantees

Đ Žikelić, M Lechner, A Verma… - Advances in …, 2024 - proceedings.neurips.cc
Reinforcement learning has shown promising results in learning neural network policies for
complicated control tasks. However, the lack of formal guarantees about the behavior of …

Physics-informed neural network Lyapunov functions: PDE characterization, learning, and verification

J Liu, Y Meng, M Fitzsimmons, R Zhou - arXiv preprint arXiv:2312.09131, 2023 - arxiv.org
We provide a systematic investigation of using physics-informed neural networks to compute
Lyapunov functions. We encode Lyapunov conditions as a partial differential equation (PDE) …

Automated and formal synthesis of neural barrier certificates for dynamical models

A Peruffo, D Ahmed, A Abate - … conference on tools and algorithms for the …, 2021 - Springer
We introduce an automated, formal, counterexample-based approach to synthesise Barrier
Certificates (BC) for the safety verification of continuous and hybrid dynamical models. The …

Effects of chemical pollution on the behaviour of cichlid fish

HF Olivares-Rubio, E Arce - Environmental Biology of Fishes, 2023 - Springer
Pollution is one of the most relevant issues for the conservation of freshwater environments.
Fishes are the main group of organisms studied in aquatic toxicology, and their behaviours …