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This paper gives convex conditions for synthesis of a distributed control system for large-scale networked nonlinear dynamic systems. It is shown that the technique of control contraction metrics (CCMs) can be extended to this problem by…

Systems and Control · Computer Science 2018-10-12 Humberto Stein Shiromoto , Max Revay , Ian R. Manchester

This paper considers the synchronization problem for networks of coupled nonlinear dynamical systems under switching communication topologies. Two types of nonlinear agent dynamics are considered. The first one is non-expansive dynamics…

Systems and Control · Computer Science 2015-08-25 Tao Yang , Ziyang Meng , Guodong Shi , Yiguang Hong , Karl Henrik Johansson

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

Optimization and Control · Mathematics 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao

We study the dynamics of network-coupled phase oscillators in the presence of coupling frustration. It was recently demonstrated that in heterogeneous network topologies, the presence of coupling frustration causes perfect phase…

Adaptation and Self-Organizing Systems · Physics 2016-04-27 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas

For linear networks, where the coupling between the agents takes place through periodic impulses, a simple method is proposed for synchronization. It is shown that closing the loop by (normalized) deadbeat feedback gain produces synchronous…

Optimization and Control · Mathematics 2023-08-22 S. Emre Tuna

The current paper addresses the distributed guaranteed-cost synchronization problems for general high-order linear multiagent networks. Existing works on the guaranteed-cost synchronization usually require all state information of…

Systems and Control · Computer Science 2018-02-23 Jianxiang Xi , Cheng Wang , Hao Liu , Zhong Wang

We study a network of coupled logistic maps whose interactions occur with a certain distribution of delay times. The local dynamics is chaotic in the absence of coupling and thus the network is a paradigm of a complex system. There are two…

Chaotic Dynamics · Physics 2009-02-03 Marcelo Ponce , C. Masoller , Arturo C. Marti

The study on the collective dynamics of synchronization among genetic oscillators is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. Genetic oscillators are biochemical…

Chaotic Dynamics · Physics 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Networks of coupled nonlinear oscillators have been used to model circadian rhythms, flashing fireflies, Josephson junction arrays, high-voltage electric grids, and many other kinds of self-organizing systems. Recently, several authors have…

Dynamical Systems · Mathematics 2025-10-07 Shriya V. Nagpal , Gokul G. Nair , Steven H. Strogatz , Francesca Parise

This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Shirantha Welikala , Hai Lin , Panos Antsaklis

This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

We characterize synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic Boolean networks as particular examples. In terms of multiplicative ergodic properties of the induced linear…

Dynamical Systems · Mathematics 2020-09-09 Wen Huang , Hong Qian , Shirou Wang , Felix X. -F. Ye , Yingfei Yi

Distributed processing across a networked environment suffers from unpredictable behavior of speedup due to heterogeneous nature of the hardware and software in the remote machines. It is challenging to get a better performance from a…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-31 M. Shahriar Hossain , M. Muztaba Fuad , Debzani Deb , Kazi Muhammad Najmul Hasan Khan , Md. Mahbubul Alam Joarder

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…

We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes are only poorly connected. We provide a probabilistic…

Dynamical Systems · Mathematics 2013-08-27 Tiago Pereira , Sebastian van Strien , Jeroen S. W. Lamb

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

Statistical Mechanics · Physics 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie

As multi-agent networks grow in size and scale, they become increasingly difficult to synchronize, though agents must work together even when generating and sharing different information at different times. Targeting such cases, this paper…

Optimization and Control · Mathematics 2018-09-18 Stefan Hochhaus , Matthew Hale

In this paper, we characterize the synchronization phenomenon of hyperchaotic scalar non-linear delay dynamics in a fully-developed chaos regime. Our results rely on the observation that, in that regime, the stationary statistical…

Chaotic Dynamics · Physics 2008-10-08 Adrian A. Budini

Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay…

Dynamical Systems · Mathematics 2019-08-05 Christian Bick