no code implementations • 12 Apr 2024 • Frank J. Jiang, Kaj Munhoz Arfvidsson, Chong He, Mo Chen, Karl H. Johansson
By ensuring a temporal logic tree has no leaking corners, we know the temporal logic tree correctly verifies the existence of control policies that satisfy the specified task.
1 code implementation • 4 Apr 2024 • Loizos Hadjiloizou, Frank J. Jiang, Amr Alanwar, Karl H. Johansson
In this paper, we introduce a hybrid zonotope-based approach for formally verifying the behavior of autonomous systems operating under Linear Temporal Logic (LTL) specifications.
1 code implementation • 27 Mar 2024 • Ahmad Hafez, Frank J. Jiang, Karl H. Johansson, Amr Alanwar
To address this, we formulate constrained polynomial logical zonotopes, which maintain the computational efficiency and exactness of polynomial logical zonotopes for reachability analysis while supporting exact intersections.
no code implementations • 21 Aug 2023 • August Söderlund, Frank J. Jiang, Vandana Narri, Amr Alanwar, Karl H. Johansson
Previous approaches to predicting the future state sets of pedestrians either do not provide safety guarantees or are overly conservative.
1 code implementation • 16 Oct 2022 • Amr Alanwar, Frank J. Jiang, Samy Amin, Karl H. Johansson
A logical zonotope, which is a new set representation for binary vectors, is introduced in this paper.
no code implementations • 16 Mar 2021 • Pian Yu, Yulong Gao, Frank J. Jiang, Karl H. Johansson, Dimos V. Dimarogonas
It is shown that when the STL formula is robustly satisfiable and the initial state of the system belongs to the initial root node of the tTLT, it is guaranteed that the trajectory generated by the control synthesis algorithm satisfies the STL formula.