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A complete model of the motion of a quadcopter along a smooth spatial trajectory is presented. Based on the model, a robust algorithm is proposed for controlling a quadcopter using measurements of linear coordinates and yaw angle. By…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Stanislav Kim , Anton Pyrkin , Oleg Borisov

In recent years, autonomous mobile platforms are finding an increasing range of applications in inspection or surveillance tasks, or to the transport of objects, in places such as smart warehouses, factories or hospitals. In these…

Robotics · Computer Science 2023-11-21 Pere Giró , Enric Celaya , Lluís Ros

In bipedal gait design literature, one of the common ways of generating stable 3D walking gait is by designing the frontal and sagittal controllers as decoupled dynamics. The study of the decoupled frontal dynamics is, however, still…

Robotics · Computer Science 2019-05-01 Arthur de Oliveira , Guilherme Vicinansa , Paulo da Silva , Bruno Angélico

Stick insect stepping patterns have been studied for insights about locomotor rhythm generation and control, because the underlying neural system is relatively accessible experimentally and produces a variety of rhythmic outputs. Harnessing…

Neurons and Cognition · Quantitative Biology 2025-04-17 Zahra Aminzare , Jonathan E. Rubin

1. Spatial memory plays a role in the way animals perceive their environments, resulting in memory-informed movement patterns that are observable to ecologists. Developing mathematical techniques to understand how animals use memory in…

Quantitative Methods · Quantitative Biology 2022-02-17 Peter R. Thompson , Andrew E. Derocher , Mark A. Edwards , Mark A. Lewis

This article addresses the challenge of adapting data-based models over time. We propose a novel two-fold modelling architecture designed to correct plant-model mismatch caused by two types of uncertainty. Out-of-domain uncertainty arises…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Laura Boca de Giuli , Alessio La Bella , Riccardo Scattolini

For centuries, soaring birds -- such as albatrosses and eagles -- have been mysterious and intriguing for biologists, physicists, aeronautical/control engineers, and applied mathematicians. These fascinating biological organisms have the…

Optimization and Control · Mathematics 2023-07-11 Sameh A. Eisa , Sameer Pokhrel

This paper provides new results for a robust adaptive tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid…

Optimization and Control · Mathematics 2011-09-05 Taeyoung Lee

Many natural systems are observed as point patterns in time, space, or space and time. Examples include plant and cellular systems, animal colonies, earthquakes, and wildfires. In practice the locations of the points are not always observed…

If we consider a cat to be an isolated mechanical system governed by T-invariant mechanics, then its ability to land on its feet after being released from rest is incomprehensible. It is more appropriate to treat the cat as a creature that…

Classical Physics · Physics 2024-05-09 Frank Wilczek

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological…

Systems and Control · Computer Science 2018-10-30 J. J. P. Veerman

Automated tracking of animal movement allows analyses that would not otherwise be possible by providing great quantities of data. The additional capability of tracking in realtime - with minimal latency - opens up the experimental…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Andrew D. Straw , Kristin Branson , Titus R. Neumann , Michael H. Dickinson

We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, the population size cannot decrease, and a natural definition of recurrence is introduced. We prove a dichotomy for recurrence/transience,…

Probability · Mathematics 2007-05-23 Francis Comets , Serguei Popov

Constraining contacts to remain fixed on an object during manipulation limits the potential workspace size, as motion is subject to the hand's kinematic topology. Finger gaiting is one way to alleviate such restraints. It allows contacts to…

Robotics · Computer Science 2022-03-04 Andrew S. Morgan , Kaiyu Hang , Bowen Wen , Kostas Bekris , Aaron M. Dollar

Automating drone-assisted processes is a complex task. Many solutions rely on trajectory generation and tracking, whereas in contrast, path-following control is a particularly promising approach, offering an intuitive and natural approach…

Systems and Control · Electrical Eng. & Systems 2026-01-21 David Leprich , Mario Rosenfelder , Mario Hermle , Jingshan Chen , Peter Eberhard

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

Populations and Evolution · Quantitative Biology 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

It is important to understand how bipedal walkers balance and walk effectively on granular materials, such as sand and loose dirt, etc. This paper first presents a computational approach to obtain the motion and energy analysis of bipedal…

Robotics · Computer Science 2023-10-02 Xunjie Chen , Jingang Yi , Hao Wang

A long-standing argument in model-based control of locomotion is about the level of complexity that a model should have to define a behavior such as running. Even though goldilocks model based on biomechanical evidence is often sought, it…

Robotics · Computer Science 2020-01-03 Gorkem Secer , Ali Levent Cinar

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

We consider a generalization of the so-called elephant random walk by introducing multiple elephants moving along the integer line, $\mathbb{Z}$. When taking a new step, each elephant considers not only its own previous steps but also the…

Probability · Mathematics 2024-10-31 Deborshi Das
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