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In a network of dynamical systems, concurrent synchronization is a regime where multiple groups of fully synchronized elements coexist. In the brain, concurrent synchronization may occur at several scales, with multiple ``rhythms''…

Neurons and Cognition · Quantitative Biology 2007-05-23 Quang-Cuong Pham , Jean-Jacques Slotine

This article presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the…

Optimization and Control · Mathematics 2011-08-05 Soon-Jo Chung , Umair Ahsun , Jean-Jacques E. Slotine

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

Synchronization is an important and prevalent phenomenon in natural and engineered systems. In many dynamical networks, the coupling is balanced or adjusted in order to admit global synchronization, a condition called Laplacian coupling.…

Multi-robot cooperative control has gained extensive research interest due to its wide applications in civil, security, and military domains. This paper proposes a cooperative control algorithm for multi-robot systems with general linear…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Yi Dong , Zhongguo Li , Xingyu Zhao , Zhengtao Ding , Xiaowei Huang

Synchronization and desynchronization in networks is a highly studied topic in many electrical systems, but there is a distinct lack of research on this topic with respect to robotics. Creating an effective decentralized synchronization…

Systems and Control · Electrical Eng. & Systems 2024-07-09 Martyn Lemon , Yongqiang Wang

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

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

This paper is concerned with the problem of controlling a system of constrained dynamic subsystems in a way that balances the performance degradation of decentralized control with the practical cost of centralized control. We propose a…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Pablo R Baldivieso-Monasterios , Paul A Trodden

Tracking Lagrangian coherent structures in dynamical systems is important for many applications such as oceanography and weather prediction. In this paper, we present a collaborative robotic control strategy designed to track stable and…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 M. Ani Hsieh , Eric Forgoston , T. William Mather , Ira B. Schwartz

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

Synchronization of coupled dynamical systems is a widespread phenomenon in both biological and engineered networks, and understanding this behavior is crucial for controlling such systems. Considerable research has been dedicated to…

Chaotic Dynamics · Physics 2023-07-04 Fatou K. Ndow , Zahra Aminzare

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

Synchronization is a widespread phenomenon observed across natural and artificial networked systems. It often manifests itself by clusters of units exhibiting coincident dynamics. These clusters are a direct consequence of the organization…

Synchronization is a crucial phenomenon in many natural and artificial complex network systems. Applications include neuronal networks, formation control and coordination in robotics, and frequency synchronization in electrical power grids.…

Systems and Control · Electrical Eng. & Systems 2020-03-24 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

This paper addresses the problem of composite synchronization and learning control in a network of multi-agent robotic manipulator systems with heterogeneous nonlinear uncertainties under a leader-follower framework. A novel two-layer…

Multiagent Systems · Computer Science 2024-05-10 Emadodin Jandaghi , Dalton L. Stein , Adam Hoburg , Paolo Stegagno , Mingxi Zhou , Chengzhi Yuan

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

Optimization and Control · Mathematics 2008-01-22 S. Emre Tuna

This paper presents a control methodology for achieving orbital stabilization with simultaneous time synchronization of periodic trajectories in underactuated robotic systems. The proposed approach extends the classical transverse…

Robotics · Computer Science 2025-09-25 Surov Maksim

This paper focuses on developing a new paradigm motivated by investigating the consensus problem of networked Lagrangian systems with time-varying delay and switching topologies. We present adaptive controllers with piecewise continuous or…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Hanlei Wang , Wei Ren , Chien Chern Cheah

This paper studies the continuous-time dynamics generated by control-theoretic Lagrangian methods for equality-constrained optimization. In particular, we consider dynamics induced by proportional-integral and feedback linearization…

Optimization and Control · Mathematics 2026-05-26 Simone Pirrera , Francesco Ripa , Daniele Astolfi , Vito Cerone , Sophie M. Fosson , Diego Regruto
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