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This work studies the stabilization for a periodic parabolic system under perturbations in the system conductivity. A perturbed system does not have any periodic solution in general. However, we will prove that the perturbed system can…

Optimization and Control · Mathematics 2009-02-26 Ling Lei

Force modulation of robotic manipulators has been extensively studied for several decades. However, it is not yet commonly used in safety-critical applications due to a lack of accurate interaction contact modeling and weak performance…

Robotics · Computer Science 2023-06-13 Lasitha Wijayarathne , Ziyi Zhou , Ye Zhao , Frank L. Hammond

This paper investigates the formation of fixed-wing UAVs in 3D, which communicate via a directed acyclic graph. Different from common formation problems, we consider the roto-translation invariant (RTI) formation, where the…

Systems and Control · Electrical Eng. & Systems 2023-02-24 Xiaodong He , Zhongkui Li , Xiangke Wang , Zhiyong Geng

In this paper we study a family of controllers that guarantees attitude synchronization for a network of elements in the unit sphere domain, i.e. $\mathcal{S}^2$. We propose distributed continuous controllers for elements whose dynamics are…

Systems and Control · Computer Science 2016-07-07 Pedro O. Pereira , Dimos V. Dimarogonas

Recent spacecraft mission concepts propose larger payloads that have lighter, less rigid structures. For large lightweight structures, the natural frequencies of their vibration modes may fall within the attitude controller bandwidth,…

Instrumentation and Methods for Astrophysics · Physics 2024-11-04 Pedro Cachim , Will Kraus , Zachary Manchester , Pedro Lourenco , Rodrigo Ventura

The problem of constrained stabilization on the n-sphere under star-shaped constraints is considered. We propose a control strategy that allows to almost globally steer the state to a desired location while avoiding star-shaped constraints…

Optimization and Control · Mathematics 2026-03-05 Mayur Sawant , Abdelhamid Tayebi

Control of compliant mechanical systems is increasingly being researched for several applications including flexible link robots and ultra-precision positioning systems. The control problem in these systems is challenging, especially with…

Systems and Control · Computer Science 2020-10-23 Prasanna S. Gandhi , Pablo Borja , Romeo Ortega

Model-based controllers can offer strong guarantees on stability and convergence by relying on physically accurate dynamic models. However, these are rarely available for high-dimensional mechanical systems such as deformable objects or…

Robotics · Computer Science 2026-02-10 Katharina Friedl , Noémie Jaquier , Seungyeon Kim , Jens Lundell , Danica Kragic

For most existing prescribed performance formation control methods, performance requirements are not directly imposed on the relative states between agents but on the consensus error, which lacks a clear physical interpretation of their…

Systems and Control · Electrical Eng. & Systems 2024-08-02 Kun Li , Kai Zhao , Yongduan Song , Lihua Xie

Based on the practical scenario where collisions in formation control may lead to agent damage, this paper investigates the integrated problem of distance-based formation control and collision avoidance for multi-agent systems governed by…

Optimization and Control · Mathematics 2026-05-19 Jingyi Zhao , Yongxin Wu , Héctor García de Marina , Yuhu Wu , Yann Le Gorrec

Controlled Lagrangian and matching techniques are developed for the stabilization of relative equilibria and equilibria of discrete mechanical systems with symmetry as well as broken symmetry. Interesting new phenomena arise in the…

Optimization and Control · Mathematics 2007-05-23 Anthony M. Bloch , Melvin Leok , Jerrold E. Marsden , Dmitry V. Zenkov

Different from most of the formation strategies where robots require unique labels to identify topological neighbors to satisfy the predefined shape constraints, we here study the problem of identity-less distributed shape formation in…

Robotics · Computer Science 2025-04-09 Guibin Sun , Yang Xu , Kexin Liu , Jinhu Lü

This paper proposes a label-free controller for a second-order multi-agent system to cooperatively fence a moving target of variational velocity into a convex hull formed by the agents whereas maintaining a rigid formation. Therein, no…

Multiagent Systems · Computer Science 2023-11-03 Bin-Bin Hu , Hai-Tao Zhang , Yang Shi

In this paper, we propose a novel approach to 3D deformable object manipulation leveraging a deep neural network called DeformerNet. Controlling the shape of a 3D object requires an effective state representation that can capture the full…

Robotics · Computer Science 2021-07-20 Bao Thach , Alan Kuntz , Tucker Hermans

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Lihua Xie , Xiangdong Liu

This letter studies the problem of cooperative nearest-neighbor control of multi-agent systems where each agent can only realize a finite set of control points. Under the assumption that the underlying graph representing the communication…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Muhammad Zaki Almuzakki , Bayu Jayawardhana

We present a framework for deformable object manipulation that interleaves planning and control, enabling complex manipulation tasks without relying on high-fidelity modeling or simulation. The key question we address is when should we use…

Robotics · Computer Science 2020-08-31 Dale McConachie , Andrew Dobson , Mengyao Ruan , Dmitry Berenson

This paper presents a novel approach to generating stabilizing controllers for a large class of dynamical systems using diffusion models. The core objective is to develop stabilizing control functions by identifying the closest…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Amartya Mukherjee , Thanin Quartz , Jun Liu

This paper presents four types of tracking control systems for the attitude dynamics of a rigid body. First, a smooth control system is constructed to track a given desired attitude trajectory, while guaranteeing almost semi-global…

Optimization and Control · Mathematics 2014-12-10 Taeyoung Lee

The paper is concerned with an optimal control problem governed by the rate-independent system of quasi-static perfect elasto-plasticity. The objective is optimize the displacement field in the domain occupied by the body by means of…

Optimization and Control · Mathematics 2020-03-24 Christian Meyer , Stephan Walther
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