Search Results for author: Preston Culbertson

Found 5 papers, 1 papers with code

Bounding Stochastic Safety: Leveraging Freedman's Inequality with Discrete-Time Control Barrier Functions

2 code implementations9 Mar 2024 Ryan K. Cosner, Preston Culbertson, Aaron D. Ames

In contrast, this paper utilizes Freedman's inequality in the context of discrete-time control barrier functions (DTCBFs) and c-martingales to provide stronger (less conservative) safety guarantees for stochastic systems.

Input-to-State Stability in Probability

no code implementations28 Apr 2023 Preston Culbertson, Ryan K. Cosner, Maegan Tucker, Aaron D. Ames

Input-to-State Stability (ISS) is fundamental in mathematically quantifying how stability degrades in the presence of bounded disturbances.

Robust Safety under Stochastic Uncertainty with Discrete-Time Control Barrier Functions

no code implementations15 Feb 2023 Ryan K. Cosner, Preston Culbertson, Andrew J. Taylor, Aaron D. Ames

To this end, we leverage Control Barrier Functions (CBFs) which guarantee that a robot remains in a ``safe set'' during its operation -- yet CBFs (and their associated guarantees) are traditionally studied in the context of continuous-time, deterministic systems with bounded uncertainties.

CoCo: Learning Strategies for Online Mixed-Integer Control

no code implementations NeurIPS Workshop LMCA 2020 Abhishek Cauligi, Preston Culbertson, Mac Schwager, Bartolomeo Stellato, Marco Pavone

Mixed-integer convex programming (MICP) is a popular modeling framework for solving discrete and combinatorial optimization problems arising in various settings.

Combinatorial Optimization

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