Search Results for author: Frank J. Jiang

Found 6 papers, 3 papers with code

Guaranteed Completion of Complex Tasks via Temporal Logic Trees and Hamilton-Jacobi Reachability

no code implementations12 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.

Formal Verification of Linear Temporal Logic Specifications Using Hybrid Zonotope-Based Reachability Analysis

1 code implementation4 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.

Formal Verification with Constrained Polynomial Logical Zonotope

1 code implementation27 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.

Computational Efficiency

Data-Driven Reachability Analysis of Pedestrians Using Behavior Modes

no code implementations21 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.

Descriptive

Logical Zonotopes: A Set Representation for the Formal Verification of Boolean Functions

1 code implementation16 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.

Online Control Synthesis for Uncertain Systems under Signal Temporal Logic Specifications

no code implementations16 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.

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