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The limiting distribution of the normalized number of comparisons used by Quicksort to sort an array of n numbers is known to be the unique fixed point with zero mean of a certain distributional transformation S. We study the convergence to…

概率论 · 数学 2007-05-23 James Allen Fill , Svante Janson

This paper addresses the problem of cooperative transportation of an object rigidly grasped by $N$ robotic agents. In particular, we propose a Nonlinear Model Predictive Control (NMPC) scheme that guarantees the navigation of the object to…

机器人学 · 计算机科学 2017-11-15 Alexandros Nikou , Christos Verginis , Shahab Heshmati-alamdari , Dimos V. Dimarogonas

The cerebellum plays a distinctive role within our motor control system to achieve fine and coordinated motions. While cerebellar lesions do not lead to a complete loss of motor functions, both action and perception are severally impacted.…

机器人学 · 计算机科学 2020-11-04 Omar Zahra , David Navarro-Alarcon , Silvia Tolu

In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the…

最优化与控制 · 数学 2018-12-13 Victor Ayala , Adriano Da Silva

This investigation seeks to establish the practicality of numerical frame approximations. Specifically, it develops a new method to approximate the inverse frame operator and analyzes its convergence properties. It is established that…

数值分析 · 数学 2012-03-30 Guohui Song , Anne Gelb

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

系统与控制 · 电气工程与系统科学 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent. We…

环与代数 · 数学 2018-04-25 Dhiren Kumar Basnet , Ajay Sharma , Rahul Dutta

We present and analyze methods for patrolling an environment with a distributed swarm of robots. Our approach uses a physical data structure - a distributed triangulation of the workspace. A large number of stationary "mapping" robots cover…

In the paper, we show how scalable, low-cost trunk-like robotic arms can be constructed using only basic 3D-printing equipment and simple electronics. The design is based on uniform, stackable joint modules with three degrees of freedom…

机器人学 · 计算机科学 2022-10-06 Manuel Traub , Robert Legenstein , Sebastian Otte

Along with the advancement of robot skin technology, there has been notable progress in the development of snake robots featuring body-surface tactile perception. In this study, we proposed a locomotion control framework for snake robots…

机器人学 · 计算机科学 2023-12-07 Shuo Jiang , Adarsh Salagame , Alireza Ramezani , Lawson Wong

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · 物理学 2008-02-03 B. Shklyar

As robots are being increasingly used in close proximity to humans and objects, it is imperative that robots operate safely and efficiently under real-world conditions. Yet, the environment is seldom known perfectly. Noisy sensors and…

机器人学 · 计算机科学 2021-04-13 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

The greedy algorithm for approximating dominating sets is a simple method that is known to compute an $(\ln n+1)$-approximation of a minimum dominating set on any graph with $n$ vertices. We show that a small modification of the greedy…

离散数学 · 计算机科学 2019-01-18 Sebastian Siebertz

Sampling from multimodal distributions is a challenging task in scientific computing. When a distribution has an exact symmetry between the modes, direct jumps among them can accelerate the samplings significantly. However, the…

数值分析 · 数学 2024-01-05 Lexing Ying

Comparing robotic cloth-manipulation systems in a real-world setup is challenging. The fidelity gap between simulation-trained cloth neural controllers and real-world operation hinders the reliable deployment of these methods in physical…

机器人学 · 计算机科学 2025-03-18 Halid Abdulrahim Kadi , Jose Alex Chandy , Luis Figueredo , Kasim Terzić , Praminda Caleb-Solly

This paper focuses on securing a triangular shape (up to translation) for a team of three mobile robots that uses heterogeneous sensing mechanism. Based on the available local information, each robot employs the popular gradient-based…

机器人学 · 计算机科学 2021-01-05 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

We prove strong invariance principle between a transient Bessel process and a certain nearest neighbor (NN) random walk that is constructed from the former by using stopping times. It is also shown that their local times are close enough to…

概率论 · 数学 2008-02-07 Endre Csáki , Antónia Földes , Pál Révész

We extend existing connections between random walks, branching processes, and spatial branching processes, and their respective scaling limits, to include processes in dependent random environments. More specifically, we prove new scaling…

概率论 · 数学 2025-12-16 Douglas Buchanan

In this work, a spiking neural network (SNN) is proposed for approximating differential sensorimotor maps of robotic systems. The computed model is used as a local Jacobian-like projection that relates changes in sensor space to changes in…

机器人学 · 计算机科学 2021-10-12 Omar Zahra , Silvia Tolu , David Navarro-Alarcon

The complex tasks such as surveillance, construction, search and rescue can benefit of the maneuverability of multirotor Micro Aerial Vehicles (MAVs) to obtain robust, cooperative system behavior and formation control is a prominent…

系统与控制 · 计算机科学 2019-04-09 I. Kagan Erunsal , Rodrigo Ventura , Alcherio Martinoli