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 …

From a single trajectory to safety controller synthesis of discrete-time nonlinear polynomial systems

B Samari, O Akbarzadeh, M Zaker… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
This letter is concerned with develo** a data-driven approach for learning control barrier
certificates (CBCs) and associated safety controllers for discrete-time input-affine nonlinear …

Closure certificates

V Murali, A Trivedi, M Zamani - … of the 27th ACM International Conference …, 2024 - dl.acm.org
A barrier certificate, defined over the states of a dynamical system, is a real-valued function
whose zero level set characterizes an inductively verifiable state invariant separating …

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 …

Co-buchi barrier certificates for discrete-time dynamical systems

V Murali, A Trivedi, M Zamani - arxiv preprint arxiv:2311.07695, 2023 - arxiv.org
Barrier certificates provide functional overapproximations for the reachable set of dynamical
systems and provide inductive guarantees on the safe evolution of the system. Formally a …

Compositional design of safety controllers for large-scale stochastic hybrid systems

M Zaker, O Akbarzadeh, B Samari, A Lavaei - arxiv preprint arxiv …, 2024 - arxiv.org
In this work, we propose a compositional scheme based on small-gain reasoning for the
safety controller synthesis of interconnected stochastic hybrid systems with both continuous …

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 …

From data to control: A formal compositional framework for large-scale interconnected networks

O Akbarzadeh, A Nejati, A Lavaei - arxiv preprint arxiv:2409.12469, 2024 - arxiv.org
We introduce a compositional data-driven methodology for designing fully-decentralized
safety controllers applicable to large-scale interconnected networks, encompassing …

A compositional dissipativity approach for data-driven safety verification of large-scale dynamical systems

A Lavaei, S Soudjani, E Frazzoli - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This work is concerned with a compositional data-driven approach for formal safety
verification of large-scale continuous-time dynamical systems with unknown models. The …

Co-Büchi Control Barrier Certificates for Stochastic Control Systems

D Ajeleye, M Zamani - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
This letter addresses the problem of synthesizing controllers that enforce properties
expressed by Universal Co-Büchi Automata (UCA) over stochastic control systems. Our …