Abstract: Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems. The goal of this article is to provide a comprehensive tutorial of three major ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel prize winner—that first posed the problem didn't believe it would ever be ...

Abstract: This article is devoted to the distributed convex optimization problem for a class of nonlinear multiagent systems under set constraints. The optimization objective function is composed of ...

Key Laboratory of Optimization Theory and Applications, School of Mathematical Sciences, China West Normal University, Nanchong, China. Overall, existing literature mainly focuses on smooth ...

Note: The official name for the course is “Convex optimization for electrical engineering”. However, the course is suitable for any student within SEAS (or beyond) provided you satisfy the math ...

This repository contains the code to reproduce the examples in the paper Motion Planning around Obstacles with Convex Optimization by Tobia Marcucci, Mark Petersen, David von Wrangel, and Russ Tedrake ...

Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China School of Chemical Engineering, University of Chinese Academy of ...

Break even and profitability analysis is a classical and widely used topic in business analysis. Break-Even Point or point of equilibrium is the point of sales volume making neither a profit nor a ...

We present a joint multi-robot trajectory optimizer that can compute trajectories for tens of robots in aerial swarms within a small fraction of a second. The computational efficiency of our approach ...

Uncertainties are widespread in the optimization of process systems, such as uncertainties in process technologies, prices, and customer demands. In this paper, we review the basic concepts and recent ...