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This paper addresses the problem of the communication of optimally compressed information for mobile robot path-planning. In this context, mobile robots compress their current local maps to assist another robot in reaching a target in an…

Robotics · Computer Science 2023-09-26 Evangelos Psomiadis , Dipankar Maity , Panagiotis Tsiotras

Autonomous driving requires reliable collision avoidance in dynamic environments. Nonlinear Model Predictive Controllers (NMPCs) are suitable for this task, but struggle in time-critical scenarios requiring high frequency. To meet this…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Ricardo Tapia , Iman Soltani

This paper proposes a motion control scheme for robots operating in a dynamic environment with concave obstacles. A Model Predictive Controller (MPC) is constructed to drive the robot towards a goal position while ensuring collision…

Robotics · Computer Science 2023-03-29 Albin Dahlin , Yiannis Karayiannidis

In this paper, we address the trajectory planning problem in uncertain nonconvex static and dynamic environments that contain obstacles with probabilistic location, size, and geometry. To address this problem, we provide a risk bounded…

Robotics · Computer Science 2021-06-11 Ashkan Jasour , Weiqiao Han , Brian Williams

We present an algorithm for steering the output of a linear system from a feasible initial condition to a desired target position, while satisfying input constraints and non-convex output constraints. The system input is generated by a…

Systems and Control · Computer Science 2017-12-05 Claus Danielson , Avishai Weiss , Karl Berntorp , Stefano Di Cairano

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

Discrete Mathematics · Computer Science 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

An algorithm which computes a solution of a set optimization problem is provided. The graph of the objective map is assumed to be given by finitely many linear inequalities. A solution is understood to be a set of points in the domain…

Optimization and Control · Mathematics 2014-05-29 Andreas Löhne , Carola Schrage

In this paper we discuss a sequential algorithm for the computation of a minimum-time speed profile over a given path, under velocity, acceleration and jerk constraints. Such a problem arises in industrial contexts such as automated…

Optimization and Control · Mathematics 2021-06-01 L. Consolini , M. Locatelli , A. Minari

Despite extensive developments in motion planning of autonomous aerial vehicles (AAVs), existing frameworks faces the challenges of local minima and deadlock in complex dynamic environments, leading to increased collision risks. To address…

Robotics · Computer Science 2026-05-29 Junzhi Li , Teng Long , Jingliang Sun , Jianxin Zhong

Many disciplines of science and engineering deal with problems related to compositions, ranging from chemical compositions in materials science to portfolio compositions in economics. They exist in non-Euclidean simplex spaces, causing many…

Materials Science · Physics 2024-11-06 Adam M. Krajewski , Allison M. Beese , Wesley F. Reinhart , Zi-Kui Liu

Real-time kinodynamic trajectory planning in dynamic environments is critical yet challenging for autonomous driving. In this letter, we propose an efficient trajectory planning system for autonomous driving in complex dynamic scenarios…

Robotics · Computer Science 2022-05-25 Cheng Jie , Chen Yingbing , Zhang Qingwen , Gan Lu , Liu Ming

Cooperative vehicle management emerges as a promising solution to improve road traffic safety and efficiency. This paper addresses the speed planning problem for connected and autonomous vehicles (CAVs) at an unsignalized intersection with…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Xiao Pan , Boli Chen , Stelios Timotheou , Simos A. Evangelou

This paper introduces a novel algorithm combination designed for fast one-to-many multicriteria shortest path search. A preprocessing algorithm excludes irrelevant vertices by building a smaller cover graph. A modified version of…

Data Structures and Algorithms · Computer Science 2022-02-01 Temirlan Kurbanov , Marek Cuchý , Jiří Vokřínek

This work proposes an algorithm to bound the minimum distance between points on trajectories of a dynamical system and points on an unsafe set. Prior work on certifying safety of trajectories includes barrier and density methods, which do…

Optimization and Control · Mathematics 2023-06-16 Jared Miller , Mario Sznaier

Multi-vehicle trajectory planning is a non-convex problem that becomes increasingly difficult in dense environments due to the rapid growth of collision constraints. Efficient exploration of feasible behaviors and resolution of tight…

Robotics · Computer Science 2025-09-22 Heye Huang , Yibin Yang , Wang Chen , Tiantian Chen , Xiaopeng Li , Sikai Chen

It is classical that, when the small deformation is assumed, the incremental analysis problem of an elastoplastic structure with a piecewise-linear yield condition and a linear strain hardening model can be formulated as a convex quadratic…

Optimization and Control · Mathematics 2017-08-22 Yoshihiro Kanno

Planning a safe and feasible trajectory for autonomous vehicles in real-time by fully utilizing perceptual information in complex urban environments is challenging. In this paper, we propose a spatio-temporal trajectory planning method…

Robotics · Computer Science 2025-02-26 Shan He , Yalong Ma , Tao Song , Yongzhi Jiang , Xinkai Wu

We propose a novel adaptive, accelerated algorithm for the stochastic constrained convex optimization setting. Our method, which is inspired by the Mirror-Prox method, \emph{simultaneously} achieves the optimal rates for smooth/non-smooth…

Optimization and Control · Mathematics 2019-10-31 Ali Kavis , Kfir Y. Levy , Francis Bach , Volkan Cevher

We present a first exact study on higher-dimensional packing problems with order constraints. Problems of this type occur naturally in applications such as logistics or computer architecture and can be interpreted as higher-dimensional…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Ekkehard Koehler , Juergen Teich

We consider the problem of scheduling $n$ precedence-constrained jobs on $m$ uniformly-related machines in the presence of an arbitrary, fixed communication delay $\rho$. We consider a model that allows job duplication, i.e. processing of…

Data Structures and Algorithms · Computer Science 2020-04-24 Biswaroop Maiti , Rajmohan Rajaraman , David Stalfa , Zoya Svitkina , Aravindan Vijayaraghavan