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The dominant contribution to communication complexity in factorizing a matrix using QR with column pivoting is due to column-norm updates that are required to process pivot decisions. We use randomized sampling to approximate this process…

Numerical Analysis · Mathematics 2018-01-23 Jed A. Duersch , Ming Gu

In this paper we address the rotation synchronization problem, where the objective is to recover absolute rotations starting from pairwise ones, where the unknowns and the measures are represented as nodes and edges of a graph,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Gk Tejus , Giacomo Zara , Paolo Rota , Andrea Fusiello , Elisa Ricci , Federica Arrigoni

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

In this paper, scalable controller design to achieve output synchronization for a heterogeneous discrete-time nonlinear multi-agent system is considered. The agents are assumed to exhibit potentially nonlinear dynamics but share linear…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Xin Mao , Dan Wang , Wei Chen , Li Qiu

This paper presents novel solutions of the data-based synchronization problem for continuous-time multiagent systems. We consider the cases of homogeneous and heterogeneous systems. First, we obtain a data-based representation of the…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Victor G. Lopez , Matthias A. Müller

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Control of large-scale networked systems often necessitates the availability of complex models for the interactions amongst the agents. However in many applications, building accurate models of agents or interactions amongst them might be…

Optimization and Control · Mathematics 2019-03-21 Siavash Alemzadeh , Mehran Mesbahi

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

Machine Learning · Computer Science 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

This paper addresses the problem of synchronizing orthogonal matrices over directed graphs. For synchronized transformations (or matrices), composite transformations over loops equal the identity. We formulate the synchronization problem as…

Optimization and Control · Mathematics 2017-04-10 Johan Thunberg , Florian Bernard , Jorge Goncalves

This paper presents a new technique for the design of approximate reasoning based controllers for dynamic physical systems with interacting goals. In this approach, goals are achieved based on a hierarchy defined by a control knowledge base…

Artificial Intelligence · Computer Science 2013-04-05 Hamid R. Berenji , Yung-Yaw Chen , Chuen-Chien Lee , Jyh-Shing Jang , S. Murugesan

In this paper, we introduce dynamics factor graphs as a graphical framework to solve dynamics problems and kinodynamic motion planning problems with full consideration of whole-body dynamics and contacts. A factor graph representation of…

Robotics · Computer Science 2020-11-13 Mandy Xie , Alejandro Escontrela , Frank Dellaert

Increasing interest in integrating advanced robotics within manufacturing has spurred a renewed concentration in developing real-time scheduling solutions to coordinate human-robot collaboration in this environment. Traditionally, the…

Robotics · Computer Science 2020-06-30 Zheyuan Wang , Matthew Gombolay

Although Koopman operators provide a global linearization for autonomous dynamical systems, nonautonomous systems are not globally linear in the inputs. State (or output) feedback controller design therefore remains nonconvex in typical…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Taha Ondogan , Ran Jing , Andrew P. Sabelhaus , Roberto Tron

Dynamical systems can be coupled in a manner that is designed to drive the resulting dynamics onto a specified lower dimensional submanifold in the phase space of the combined system. On the submanifold, the variables of the two systems…

Chaotic Dynamics · Physics 2025-12-11 Vishal Juneja , Suresh Kumarasamy , Aryan Patel , Amrita Punnavajhala , Ram Ramaswamy

This paper gives a fresh look at network synchronization. Here we no longer analyze it from the view of mathematics, such as graph theory, while we probe into one from control theory. First, we analyze the synchronization region using the…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Jilie Zhang

This paper presents a novel factor graph-based approach to solve the discrete-time finite-horizon Linear Quadratic Regulator problem subject to auxiliary linear equality constraints within and across time steps. We represent such optimal…

Robotics · Computer Science 2021-10-27 Shuo Yang , Gerry Chen , Yetong Zhang , Howie Choset , Frank Dellaert

The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly…

Systems and Control · Computer Science 2017-04-25 Jérémie Kreiss , Laurent Bako , Eric Blanco

This paper proposes a general formulation for temporal parallelisation of dynamic programming for optimal control problems. We derive the elements and associative operators to be able to use parallel scans to solve these problems with…

Optimization and Control · Mathematics 2022-01-25 Simo Särkkä , Ángel F. García-Fernández

This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly…

Systems and Control · Electrical Eng. & Systems 2021-11-05 Zhongchang Liu , Wing Shing Wong , Hui Cheng

In this paper, a cooperative Linear Quadratic Regulator (LQR) problem is investigated for multi-input systems, where each input is generated by an agent in a network. The input matrices are different and locally possessed by the…

Multiagent Systems · Computer Science 2021-11-10 Peihu Duan , Lidong He , Zhisheng Duan , Ling Shi
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