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This paper presents a novel planning and control strategy for competing with multiple vehicles in a car racing scenario. The proposed racing strategy switches between two modes. When there are no surrounding vehicles, a learning-based model…

Robotics · Computer Science 2022-03-29 Suiyi He , Jun Zeng , Koushil Sreenath

We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots…

Robotics · Computer Science 2015-12-08 Jingjin Yu

We present a novel framework that combines machine learning with mixed-integer optimization to solve the Capacitated Location-Routing Problem (CLRP). The CLRP is a classical NP-hard problem that integrates strategic facility location with…

Optimization and Control · Mathematics 2026-02-24 Waquar Kaleem , Doyoung Lee , Changhyun Kwon , Anirudh Subramanyam

This work proposes an approach that integrates reinforcement learning and model predictive control (MPC) to solve finite-horizon optimal control problems in mixed-logical dynamical systems efficiently. Optimization-based control of such…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Caio Fabio Oliveira da Silva , Azita Dabiri , Bart De Schutter

We propose an approach based on quadratic approximations for solving general Mixed-Integer Nonlinear Programming (MINLP) problems. Specifically, our approach entails the global approximation of the epigraphs of constraint functions by means…

Optimization and Control · Mathematics 2025-03-24 Adrian Göß , Robert Burlacu , Alexander Martin

This research focuses on trajectory planning problems for autonomous vehicles utilizing numerical optimal control techniques. The study reformulates the constrained optimization problem into a nonlinear programming problem, incorporating…

Robotics · Computer Science 2023-12-13 Jiayu Fan , Nikolce Murgovski , Jun Liang

Multi-Agent Path Finding (MAPF) remains a fundamental challenge in robotics, where classical centralized approaches exhibit exponential growth in joint-state complexity as the number of agents increases. This paper investigates Quadratic…

Robotics · Computer Science 2026-02-17 Javier González Villasmil

Our premise is that autonomous vehicles must optimize communications and motion planning jointly. Specifically, a vehicle must adapt its motion plan staying cognizant of communications rate related constraints and adapt the use of…

Systems and Control · Computer Science 2018-07-31 Mayank K. Pal , Rupali Bhati , Anil Sharma , Sanjit K. Kaul , Saket Anand , P. B. Sujit

Motion planning is a crucial component of autonomous robot driving. While various trajectory datasets exist, effectively utilizing them for a target domain remains challenging due to differences in agent interactions and environmental…

Robotics · Computer Science 2025-07-28 Giwon Lee , Wooseong Jeong , Daehee Park , Jaewoo Jeong , Kuk-Jin Yoon

Autonomous driving technology is rapidly evolving and becoming a pivotal element of modern automation systems. Effective decision-making and planning are essential to ensuring autonomous vehicles operate safely and efficiently in complex…

Robotics · Computer Science 2024-11-12 Zhicheng Zhang

Designing trajectories for manipulation through contact is challenging as it requires reasoning of object \& robot trajectories as well as complex contact sequences simultaneously. In this paper, we present a novel framework for…

Robotics · Computer Science 2025-10-06 Yuki Shirai , Arvind Raghunathan , Devesh K. Jha

Motion planning methods for autonomous systems based on nonlinear programming offer great flexibility in incorporating various dynamics, objectives, and constraints. One limitation of such tools is the difficulty of efficiently representing…

Systems and Control · Electrical Eng. & Systems 2022-03-31 James Guthrie , Marin Kobilarov , Enrique Mallada

Quantum networks are envisioned to enable reliable distribution and manipulation of quantum information across distances, forming the foundation of a future quantum internet. The fair and efficient allocation of communication resources in…

Quantum Physics · Physics 2026-03-13 Sounak Kar , Arpan Mukhopadhyay

The paper presents a movement strategy for Connected and Automated Vehicles (CAVs) in a lane-free traffic environment with vehicle nudging by use of an optimal control approach. State-dependent constraints on control inputs are considered…

First-order methods for quadratic optimization such as OSQP are widely used for large-scale machine learning and embedded optimal control, where many related problems must be rapidly solved. These methods face two persistent challenges:…

Mixed Binary Quadratic Programs (MBQPs) are an important and complex set of problems in combinatorial optimization. As solving large-scale combinatorial optimization problems is challenging, primal heuristics have been developed to quickly…

Machine Learning · Computer Science 2026-04-28 Weimin Huang , Natalie M. Isenberg , Ján Drgoňa , Draguna L Vrabie , Bistra Dilkina

It is well-known that by adding integrality constraints to the semidefinite programming (SDP) relaxation of the max-cut problem, the resulting integer semidefinite program is an exact formulation of the problem. In this paper we show…

Optimization and Control · Mathematics 2023-11-09 Frank de Meijer , Renata Sotirov

Autonomous driving at intersections is one of the most complicated and accident-prone traffic scenarios, especially with mixed traffic participants such as vehicles, bicycles and pedestrians. The driving policy should make safe decisions to…

Machine Learning · Computer Science 2022-04-27 Jianhua Jiang , Yangang Ren , Yang Guan , Shengbo Eben Li , Yuming Yin , Xiaoping Jin

While motion planning of locomotion for legged robots has shown great success, motion planning for legged robots with dexterous multi-finger grasping is not mature yet. We present an efficient motion planning framework for simultaneously…

Robotics · Computer Science 2023-01-18 Yuki Shirai , Xuan Lin , Alexander Schperberg , Yusuke Tanaka , Hayato Kato , Varit Vichathorn , Dennis Hong

Model Predictive Control (MPC) is a popular optimization-based control technique. MPC is usually formulated as sparse or dense Quadratic Programming (QP). This paper reviews two well-known methods, namely, state condensing and move…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Pavel Otta , Ondrej Santin , Vladimir Havlena
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