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Bibliographic Details
Main Authors:	Harapanahalli, Akash, Coogan, Samuel
Format:	Preprint
Published:	2024
Subjects:	Systems and Control
Online Access:	https://arxiv.org/abs/2403.16214
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$\texttt{immrax}$: A Parallelizable and Differentiable Toolbox for Interval Analysis and Mixed Monotone Reachability in JAX
by: Harapanahalli, Akash, et al.
Published: (2024)

Parametric Reachable Sets Via Controlled Dynamical Embeddings
by: Harapanahalli, Akash, et al.
Published: (2025)

Automatic and Scalable Safety Verification using Interval Reachability with Subspace Sampling
by: Gould, Brendan, et al.
Published: (2025)

Efficient Interaction-Aware Interval Analysis of Neural Network Feedback Loops
by: Jafarpour, Saber, et al.
Published: (2023)

Learning Certified Neural Network Controllers Using Contraction and Interval Analysis
by: Harapanahalli, Akash, et al.
Published: (2026)

Contraction-Guided Adaptive Partitioning for Reachability Analysis of Neural Network Controlled Systems
by: Harapanahalli, Akash, et al.
Published: (2023)

A Global Coordinate-Free Approach to Invariant Contraction on Homogeneous Manifolds
by: Harapanahalli, Akash, et al.
Published: (2024)

A Linear Differential Inclusion for Contraction Analysis to Known Trajectories
by: Harapanahalli, Akash, et al.
Published: (2024)

Certified Robust Invariant Polytope Training in Neural Controlled ODEs
by: Harapanahalli, Akash, et al.
Published: (2024)

linrax: A JAX Compatible, Simplex Method Linear Program Solver
by: Gould, Brendan, et al.
Published: (2025)

Forward Invariance in Neural Network Controlled Systems
by: Harapanahalli, Akash, et al.
Published: (2023)

Differentiable Invariant Sets for Hybrid Limit Cycles with Application to Legged Robots
by: Madabushi, Varun, et al.
Published: (2026)

Monotonicity and Contraction on Polyhedral Cones
by: Jafarpour, Saber, et al.
Published: (2022)

Over-Approximating Minimizer Sets of Constrained Convex Programs with Parametric Uncertainty via Reachability Analysis
by: Gould, Brendan, et al.
Published: (2026)

A Comparison Between Lie Group- and Lie Algebra- Based Potential Functions for Geometric Impedance Control
by: Seo, Joohwan, et al.
Published: (2024)

Constrained Trajectory Optimization on Matrix Lie Groups via Lie-Algebraic Differential Dynamic Programming
by: Alcan, Gokhan, et al.
Published: (2023)

How Sensor Attacks Transfer Across Lie Groups
by: Alisic, Rijad, et al.
Published: (2026)

Uniform Sampling from the Reachable Set Using Optimal Transport
by: Elamvazhuthi, Karthik, et al.
Published: (2025)

Neural Robust Control on Lie Groups Using Contraction Methods (Extended Version)
by: Lo, Yi Lok, et al.
Published: (2026)

Constrained Optimization on Matrix Lie Groups via Interior-Point Method
by: Santos, Aclécio J., et al.
Published: (2026)

A Geometric Perspective on Fusing Gaussian Distributions on Lie Groups
by: Ge, Yixiao, et al.
Published: (2024)

Space-Time Diversity in Observability and Estimation on Product Lie Groups
by: Venkatasubramanian, Somasundhar, et al.
Published: (2026)

Safety-Critical Control on Lie Groups Using Energy-Augmented Zeroing Control Barrier Functions
by: Letti, Alessandro, et al.
Published: (2025)

A Consensus Algorithm for Second-Order Systems Evolving on Lie Groups
by: Krishna, Akhil B, et al.
Published: (2025)

Lies We Can Trust: Quantifying Action Uncertainty with Inaccurate Stochastic Dynamics through Conformalized Nonholonomic Lie Groups
by: Marques, Luís, et al.
Published: (2025)

Active Calibration of Reachable Sets Using Approximate Pick-to-Learn
by: Deglurkar, Sampada, et al.
Published: (2026)

Schrödinger Bridge Over A Compact Connected Lie Group
by: Mahmood, Hamza, et al.
Published: (2026)

Convex Hulls of Reachable Sets
by: Lew, Thomas, et al.
Published: (2023)

Forward Reachability for Discrete-Time Nonlinear Stochastic Systems via Mixed-Monotonicity and Stochastic Order
by: Sivaramakrishnan, Vignesh, et al.
Published: (2024)

Model Predictive Static Programming for Discrete-Time Optimal Control on Lie Groups
by: Krishna, Akhil B, et al.
Published: (2026)

Equivariant Tracking Control for Fully Actuated Mechanical Systems on Matrix Lie Groups
by: Hampsey, Matthew, et al.
Published: (2025)

Equivalence of Left- and Right-Invariant Extended Kalman Filters on Matrix Lie Groups
by: Maurer, Finn G., et al.
Published: (2025)

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups
by: Teng, Sangli, et al.
Published: (2025)

Vector Fields for Path Following on Lie Groups with Application in Robot Control
by: Bartelt, Felipe, et al.
Published: (2026)

Tutorial on Aided Inertial Navigation Systems: A Modern Treatment Using Lie-Group Theoretical Methods
by: Berkane, Soulaimane
Published: (2026)

Certified Approximate Reachability (CARe): Formal Error Bounds on Deep Learning of Reachable Sets
by: Solanki, Prashant, et al.
Published: (2025)

Exploiting Equivariance in the Design of Tracking Controllers for Euler-Poincare Systems on Matrix Lie Groups
by: Hampsey, Matthew, et al.
Published: (2024)

JuliaReach: a Toolbox for Set-Based Reachability
by: Bogomolov, Sergiy, et al.
Published: (2019)

Distributed Invariant Kalman Filter for Cooperative Localization using Matrix Lie Groups
by: Zhou, Yizhi, et al.
Published: (2024)

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