Adaptive synchronization of an uncertain complex dynamical network

By Jin Zhou, Junan Lu, Jinhu Lu. 2005

685 citations recorded by the source corpus.

This note further investigates the locally and globally adaptive synchronization of an uncertain complex dynamical network. Several network synchronization criteria are deduced. Especially, our hypotheses and designed adaptive controllers for network synchronization are rather simple in form. It is very useful for future practical engineering design. Moreover, numerical simulations are also given to show the effectiveness of our synchronization approaches.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Wenwu Yu
2. Guanrong Chen
3. Jinde Cao
4. Wei Ren
5. Jürgen Kurths
6. Jinhu Lu
7. Yongcan Cao
8. W. Zheng

In Statistical and Nonlinear Physics

1. Jinde Cao
2. Wenwu Yu
3. Guanrong Chen
4. Jinhu Lu
5. Jürgen Kurths
6. Ju H. Park
7. Jianquan Lu
8. Wei Ren

Citations in the corpus

• An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, methodology): “Because of the nonlinear terms in synchroni zation of complex networks, Lyapunov function method is usually used together with matrix theory [57], [91], [97].”
• Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy (2012, methodology): “In [23], [24], the feedback strength is asymptotically enhanced according to a certain update law for the stabilization and synchronization of dynamical networks.”
• Distributed Finite-Time Containment Control for Double-Integrator Multiagent Systems (2014, background): “2288980 problem in complex networks (for more details about synchronization in complex networks, see [9] and [10]).”
• Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control (2010, background): “Various control schemes, such as adaptive control [7], [13], [24], [35]–[38] impulsive control [25]–[29], and pinning control [30]–[34], were reported to achieve network synchronization.”
• Design of highly synchronizable and robust networks (2009, background): “…the synchronization of all dynamical entities (nodes) is an interesting phenomenon with multiple practical applications, such as in the synchronous transfer of signals in communication networks (Chen & Zhou, 2006; Pavel, 2004; Ren, 2008; Su, Wang & Lin, 2009; Wu & Chua, 1995; Zhou, Lu, & Lü, 2006).”
• Finite-time stochastic synchronization of complex networks (2010, background): “Moreover, the network coupling functions may be unknown a priori and could be in the form of a linear or nonlinear function [35–38].”
• Topology identification of weighted complex dynamical networks (2007, background): “Many existing literatures focused on investigating the geometry features, synchronization and control of complex dynamical network provided with certain topology [12–20].”
• Networked Synchronization Control of Coupled Dynamic Networks With Time-Varying Delay (2010, background): “Aside from the dynamic analysis of CDNs, the synchronization control for CDNs is also an important issue to be studied due to its potential applications in secure communication, biology and information science, etc.”
• Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics (2010, background): “This scenario arises naturally when agents have intrinsic nonlinear dynamics [4], [17], [18], [21], [29]–[32], [34], [35], [38], [42], [43].”