collaborators
Showing math.OCShow all

6 papers · 1 filter

math.OC2022

Development of Linear Battery Model for Path Planning with Mixed Integer Linear Programming: Simulated and Experimental Validation

Drew Scott, Satyanarayana G. Manyam, David W. Casbeer +3

Mixed Integer Linear Programs (MILPs) are often used in the path planning of both ground and aerial vehicles. Such a formulation of the path planning problem requires a linear obje…

math.OC2022

Determining Follower Aircraft's Optimal Trajectory in Relation to a Dynamic Formation Ring

Carl A. Gotwald, Michael D. Zollars, Isaac E. Weintraub

The specific objective of this paper is to develop a tool that calculates the optimal trajectory of the follower aircraft as it completes a formation rejoin, and then maintains the…

math.OC2022

Surveillance of a Faster Fixed-Course Target

Isaac E. Weintraub, Alexander Von Moll, Eloy Garcia +2

The maximum surveillance of a target which is holding course is considered, wherein an observer vehicle aims to maximize the time that a faster target remains within a fixed-range…

math.OC2022

Path Planning and Energy Management of Hybrid Air Vehicles for Urban Air Mobility

Satyanarayana G. Manyam, David W. Casbeer, Swaroop Darbha +2

A novel coupled path planning and energy management problem for a hybrid unmanned air vehicle is considered, where the hybrid vehicle is powered by a dual gas/electric system. Such…

math.OC2022

Optimal Strategies for the Game of Protecting a Plane in 3-D

Eloy Garcia, Isaac Weintraub, David W. Casbeer +1

A conflict between rational and autonomous agents is considered. The paper addresses a differential game of protecting a target in the 3-D space. This problem highlights the strong…

math.OC2020

An Introduction to Pursuit-evasion Differential Games

Isaac E. Weintraub, Meir Pachter, Eloy Garcia

Pursuit and evasion conflicts represent challenging problems with important applications in aerospace and robotics. In pursuit-evasion problems, synthesis of intelligent actions mu…