单控制器钉扎复杂网络
动力系统
2007-07-18 v1
摘要
本文在不假设耦合具有对称性、不可约性或线性的情况下,证明了单个控制器可以将耦合复杂网络钉扎至齐次解。提出了保证钉扎过程局部和全局收敛的充分条件。提出了一种调节耦合强度的有效方法。给出了若干数值模拟以验证我们的理论分析。
引用
@article{arxiv.0707.2411,
title = {Pinning Complex Networks by a Single Controller},
author = {Tianping Chen and Xiwei Liu and Wenlian Lu},
journal= {arXiv preprint arXiv:0707.2411},
year = {2007}
}
相关论文
查看更多相关论文 →
数学物理 · 物理学
Pinning complex Networks by A Simple Controller
Tianping Chen, Xiwei Liu
2007-05-23
适应与自组织系统 · 物理学
Finite time Convergence of Pinning Synchronization with a single Nonlinear Controller
Tianping Chen, Wenlian Lu, Xiwei lIu
2021-05-25
物理与社会 · 物理学
On complex networks with pinning controllers
Tianping Chen
2023-08-08
无序系统与神经网络 · 物理学
Pinning-controllability of complex networks
Francesco Sorrentino, Mario di Bernardo, Franco Garofalo, Guanrong Chen
2007-05-23
系统与控制 · 计算机科学
Synchronization in Networks of Identical Systems via Pinning: Application to Distributed Secondary Control of Microgrids
S. Manaffam, M. K. Talebi, A. K. Jain, A. Behal
2017-09-19
系统与控制 · 计算机科学
Fixed-time cluster synchronization for complex networks via pinning control
Xiwei Liu, Tianping Chen
2015-09-14
混沌动力学 · 物理学
Controlling synchronous patterns in complex networks
Weijie Lin, Huawei Fan, Ying Wang, Heping Ying +1
2016-05-04
最优化与控制 · 数学
Synchronization of Complex Dynamical Networks via Event-Triggered Pinning Impulses
Kexue Zhang
2024-02-29
物理与社会 · 物理学
On the pinning strategy of complex networks
Lei Yang, Xingang Wang, Yao Li, Zhengmao Sheng
2015-05-14
适应与自组织系统 · 物理学
Finite time Convergence of Pinning Synchronization with Linear and Nonlinear Controllers
Wenlian Lu, Xiwei Liu, Tianping Chen
2021-03-03
混沌动力学 · 物理学
Enhancing synchronization in complex networks of coupled phase oscillators
Xingang Wang, Shuguang Guan, Ying-Cheng Lai, Choy Heng Lai
2011-11-10
最优化与控制 · 数学
Controllability of complex networks using perturbation theory of extreme singular values
Stephane Chretien, Sebastien Darses
2016-01-25
系统与控制 · 电气工程与系统科学
Pinning Stabilizer Design for Large-Scale Probabilistic Boolean Networks
Lin Lin, Jinde Cao, Jianquan Lu, Jie Zhong
2020-10-26
最优化与控制 · 数学
Synchronization in Complex Oscillator Networks and Smart Grids
Florian Dörfler, Michael Chertkov, Francesco Bullo
2015-06-05
系统与控制 · 电气工程与系统科学
Secure Analysis of Dynamic Networks under Pinning Attacks against Synchronization
Yuzhe Li, Dawei Shi, Tongwen Chen
2019-09-04
最优化与控制 · 数学
Pinning consensus in networks of multiagents via a single impulsive controller
Bo Liu, Wenlian Lu, Tianping Chen
2013-06-21
统计力学 · 物理学
Better synchronizability predicted by a new coupling method
Ming Zhao, Tao Zhou, Bing-Hong Wang, Qing Ou +1
2009-11-11
物理与社会 · 物理学
Control of Multilayer Networks
Giulia Menichetti, Luca Dall'Asta, Ginestra Bianconi
2016-02-17
系统与控制 · 电气工程与系统科学
Exponential Cluster Synchronization in Fast Switching Network Topologies: A Pinning Control Approach with Necessary and Sufficient Conditions
Ku Du, Yu Kang
2024-02-20
量子物理 · 物理学
Symmetry & Controllability for Spin Networks with a Single-Node Control
Xiaoting Wang, Peter Pemberton-Ross, Sophie G Schirmer
2012-11-02
适应与自组织系统 · 物理学
Control of coupled oscillator networks with application to microgrid technologies
Per Sebastian Skardal, Alex Arenas
2015-08-24
量子物理 · 物理学
Local probe for connectivity and coupling strength in quantum complex networks
Johannes Nokkala, Sabrina Maniscalco, Jyrki Piilo
2018-09-10
统计力学 · 物理学
Synchronizability determined by coupling strengths and topology on Complex Networks
Jesus Gomez-Gardenes, Yamir Moreno, Alex Arenas
2008-01-29
量子物理 · 物理学
Controllability and Observability of Multi-Spin Systems: Constraints by Symmetry and by Relaxation
U. Sander, T. Schulte-Herbrueggen
2009-05-17
物理与社会 · 物理学
Controlling symmetries and clustered dynamics of complex networks
L. V. Gambuzza, M. Frasca, F. Sorrentino, L. M. Pecora +1
2020-11-24