activity
20172023
most citedTime-Optimal Collaborative Guidance Using the Generalized Hopf Formula

23 citations · 54 across the 9 of their papers we have counts for

collaborators

9 papers

eess.SY2023

Trajectories for the Optimal Collection of Information

Matthew R. Kirchner, David Grimsman, Joao P. Hespanha +1

We study a scenario where an aircraft has multiple heterogeneous sensors collecting measurements to track a target vehicle of unknown location. The measurements are sampled along t…

cs.RO2020★ 4 cited

Reachability as a Unifying Framework for Computing Helicopter Safe Operating Conditions and Autonomous Emergency Landing

Matthew R. Kirchner, Eddie Ball, Jacques Hoffler +1

We present a numeric method to compute the safe operating flight conditions for a helicopter such that we can ensure a safe landing in the event of a partial or total engine failur…

cs.MA2020★ 2 cited

The Impact of Message Passing in Agent-Based Submodular Maximization

David Grimsman, Matthew R. Kirchner, João P. Hespanha +1

This paper considers a set of sensors, which as a group are tasked with taking measurements of the environment and sending a small subset of the measurements to a centralized data…

cs.RO2020★ 6 cited

A Hamilton-Jacobi Formulation for Optimal Coordination of Heterogeneous Multiple Vehicle Systems

Matthew R. Kirchner, Mark J. Debord, João P. Hespanha

We present a method for optimal coordination of multiple vehicle teams when multiple endpoint configurations are equally desirable, such as seen in the autonomous assembly of forma…

eess.SY2019★ 8 cited

Heterogeneous Measurement Selection for Vehicle Tracking using Submodular Optimization

Matthew R. Kirchner, João P. Hespanha, Denis Garagić

We study a scenario where a group of agents, each with multiple heterogeneous sensors are collecting measurements of a vehicle and the measurements are transmitted over a communica…

eess.SY2019★ 4 cited

A Level Set Approach to Online Sensing and Trajectory Optimization with Time Delays

Matthew R. Kirchner

Presented is a method to compute certain classes of Hamilton-Jacobi equations that result from optimal control and trajectory generation problems with time delays. Many robotic con…

cs.CV2018★ 2 cited

Automatic Thresholding of SIFT Descriptors

Matthew R. Kirchner

We introduce a method to perform automatic thresholding of SIFT descriptors that improves matching performance by at least 15.9% on the Oxford image matching benchmark. The method…

eess.SY2017★ 5 cited

A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems

Matthew R. Kirchner, Gary Hewer, Jerome Darbon +1

Presented is a method for efficient computation of the Hamilton-Jacobi (HJ) equation for time-optimal control problems using the generalized Hopf formula. Typically, numerical meth…

math.OC2017★ 23 cited

Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula

Matthew R. Kirchner, Robert Mar, Gary Hewer +3

Presented is a new method for calculating the time-optimal guidance control for a multiple vehicle pursuit-evasion system. A joint differential game of k pursuing vehicles relative…