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20082026
most citedIntroduction of Frictional and Turning Function for Pedestrian Outflow with an Obstacle

242 citations

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13 papers · 1 filter

math.OC2025

Sensitivity-Driven Adaptive Surrogate Modeling for Simulation and Optimization of Dynamical Systems

Jonathan R. Cangelosi, Matthias Heinkenschloss

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which s…

math.OC2024

Sensitivity of ODE Solutions and Quantities of Interest with Respect to Component Functions in the Dynamics

Jonathan R. Cangelosi, Matthias Heinkenschloss

This work analyzes the sensitivities of the solution of a system of ordinary differential equations (ODEs) and a corresponding quantity of interest (QoI) to perturbations in a stat…

math.OC2024★ 11 cited

An Integrated Supply Chain Network Design for Advanced Air Mobility Aircraft Manufacturing Using Stochastic Optimization

Esrat Farhana Dulia, Syed A. M. Shihab

Electric vertical takeoff and landing (eVTOL) aircraft manufacturers await numerous pre-orders for eVTOLs and expect demand for such advanced air mobility (AAM) aircraft to rise dr…

math.OC2024

Semi-Infinite Programs for Robust Control and Optimization: Efficient Solutions and Extensions to Existence Constraints

Jad Wehbeh, Eric C. Kerrigan

Discrete-time robust optimal control problems generally take a min-max structure over continuous variable spaces, which can be difficult to solve in practice. In this paper, we ext…

math.OC2023★ 15 cited

Designing a Surveillance Sensor Network with Information Clearinghouse for Advanced Air Mobility

Esrat Farhana Dulia, Syed Arbab Mohd Shihab

To ensure safe, secure, and efficient advanced air mobility (AAM) operations, an AAM surveillance network is needed to detect and track AAM traffic. Additionally, a cloud-based sur…

math.OC2022★ 16 cited

Automated Tour Design in the Saturnian System

Yuji Takubo, Damon Landau, Brian Anderson

Future missions to Enceladus would benefit from multi-moon tours that leverage V-infinity on resonant orbits to progressively transfer between moons. Such "resonance family hopping…

math.OC2021★ 3 cited

Direct data-driven control of LTV systems

Benita Nortmann, Thulasi Mylvaganam

Considering discrete-time linear time-varying systems with unknown dynamics, controllers guaranteeing bounded closed-loop trajectories, optimal performance and robustness to proces…

math.OC2020★ 12 cited

Solving Dynamic Optimization Problems to a Specified Accuracy: An Alternating Approach using Integrated Residuals

Yuanbo Nie, Eric C. Kerrigan

We propose a novel direct transcription and solution method for solving nonlinear, continuous-time dynamic optimization problems. Instead of forcing the dynamic constraints to be s…

math.OC2019★ 119 cited

GuSTO: Guaranteed Sequential Trajectory Optimization via Sequential Convex Programming

Riccardo Bonalli, Abhishek Cauligi, Andrew Bylard +1

Sequential Convex Programming (SCP) has recently seen a surge of interest as a tool for trajectory optimization. However, most available methods lack rigorous performance guarantee…

math.OC2018★ 9 cited

Dynamic Optimization with Convergence Guarantees

Martin P. Neuenhofen, Eric C. Kerrigan

We present a novel direct transcription method to solve optimization problems subject to nonlinear differential and inequality constraints. We prove convergence of our numerical me…

math.OC2018★ 2 cited

Mass-spring-damper Networks for Distributed Optimization in Non-Euclidean Spaces

Yue Yu, Behçet Açıkmeşe, Mehran Mesbahi

We consider the problem of minimizing the sum of non-smooth convex functions in non-Euclidean spaces, e.g., probability simplex, via only local computation and communication on an…

math.OC2017

A Framework for Time-Consistent, Risk-Sensitive Model Predictive Control: Theory and Algorithms

Sumeet Singh, Yin-Lam Chow, Anirudha Majumdar +1

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to…

math.OC2016

Analytical results for the multi-objective design of model-predictive control

Vincent Bachtiar, Chris Manzie, William H. Moase +1

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the M…