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Large animal groups -- bird flocks, fish schools, insect swarms -- are often assumed to form by gradual aggregation of sparsely distributed individuals. Using a mathematically precise framework based on time-varying directed interaction…

Populations and Evolution · Quantitative Biology 2025-12-02 Jidong Jin

Cross-country soaring flights rely on intermittent atmospheric updrafts to cover long distances, producing trajectories that alternate between rapid relocation and local exploration. From a large dataset of paraglider, hang glider, and…

Statistical Mechanics · Physics 2026-01-06 Jérémie Vilpellet , Alexandre Darmon , Michael Benzaquen

Motion planning is a key tool that allows robots to navigate through an environment without collisions. The problem of robot motion planning has been studied in great detail over the last several decades, with researchers initially focusing…

Robotics · Computer Science 2018-07-20 Luka Petrović

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

This paper proposes a novel mission planning algorithm for autonomous robots that selects an optimal waypoint sequence from a predefined set to maximize total reward while satisfying obstacle avoidance, state, input, derivative, mission…

Robotics · Computer Science 2025-05-07 Jose D. Hoyos , Tianyu Zhou , Zehui Lu , Shaoshuai Mou

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

High-speed obstacle avoidance of uncrewed aerial vehicles (UAVs) in cluttered environments is a significant challenge. Existing UAV planning and obstacle avoidance systems can only fly at moderate speeds or at high speeds over empty or…

Robotics · Computer Science 2025-05-26 Minghao Lu , Xiyu Fan , Bowen Xu , Zexuan Yan , Rui Peng , Han Chen , Lixian Zhang , Peng Lu

In the event of a total loss of thrust, a pilot must identify a reachable landing site and subsequently execute a forced landing. To do so, they must estimate which region on the ground can be reached safely in gliding flight. We call this…

Optimization and Control · Mathematics 2024-07-30 Giovanni Piccioli

The natural wind environment that volant insects encounter is unsteady and highly complex, posing significant flight control and stability challenges. Unsteady airflows can range from structured chains of discrete vortices shed in the wake…

Biological Physics · Physics 2016-03-03 Sridhar Ravi , Dmitry Kolomenskiy , Thomas Engels , Kai Schneider , Chun Wang , Joern Sesterhenn , Hao Liu

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

Autonomous drone racing requires powerful perception, planning, and control and has become a benchmark and test field for autonomous, agile flight. Existing work usually assumes static race tracks with known maps, which enables offline…

Robotics · Computer Science 2025-03-19 Ralf Römer , Tim Emmert , Angela P. Schoellig

This paper introduces a collision avoidance system for navigating a multicopter in cluttered outdoor environments based on the recent memory-less motion planner, rectangular pyramid partitioning using integrated depth sensors (RAPPIDS). The…

Robotics · Computer Science 2021-03-24 Junseok Lee , Xiangyu Wu , Seung Jae Lee , Mark W. Mueller

Euclidean Signed Distance Field (ESDF) is useful for online motion planning of aerial robots since it can easily query the distance and gradient information against obstacles. Fast incrementally built ESDF map is the bottleneck for…

Robotics · Computer Science 2019-07-29 Luxin Han , Fei Gao , Boyu Zhou , Shaojie Shen

This paper studies the formation mission design problem for commercial aircraft in the presence of uncertainties. Specifically, it considers uncertainties in the departure times of the aircraft and in the fuel burn savings for the trailing…

Optimization and Control · Mathematics 2024-07-03 María Cerezo-Magaña , Alberto Olivares , Ernesto Staffetti

Guidance commands of flight vehicles are a series of data sets with fixed time intervals, thus guidance design constitutes a sequential decision problem and satisfies the basic conditions for using deep reinforcement learning (DRL). In this…

Machine Learning · Computer Science 2024-05-08 Xiao Hu , Tianshu Wang , Min Gong , Shaoshi Yang

This paper presents a novel algorithm to plan energy-efficient trajectories for autonomous ornithopters. In general, trajectory optimization is quite a relevant problem for practical applications with \emph{Unmanned Aerial Vehicles} (UAVs).…

A region of two-dimensional space has been filled randomly with large number of growing circular discs allowing only a `slight' overlapping among them just before their growth stop. More specifically, each disc grows from a nucleation…

Disordered Systems and Neural Networks · Physics 2014-03-11 Abhijit Chakraborty , S. S. Manna

Collision-free mobile robot navigation is an important problem for many robotics applications, especially in cluttered environments. In such environments, obstacles can be static or dynamic. Dynamic obstacles can additionally be…

Robotics · Computer Science 2023-02-28 Baskın Şenbaşlar , Gaurav S. Sukhatme

This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical system with an unexpected change in its dynamics, we take the…

Optimization and Control · Mathematics 2022-02-09 Daniel Gurevich , Debdipta Goswami , Charles L. Fefferman , Clarence W. Rowley

In first-passage percolation, one places nonnegative i.i.d. random variables (T(e)) on the edges of Z^d. A geodesic is an optimal path for the passage times T(e). Consider a local property of the time environment. We call it a pattern. We…

Probability · Mathematics 2023-10-09 Antonin Jacquet