The partial pinning control strategy for large complex networks

Automatica ◽  
2018 ◽  
Vol 89 ◽  
pp. 111-116 ◽  
Author(s):  
Pietro DeLellis ◽  
Franco Garofalo ◽  
Francesco Lo Iudice
Keyword(s):  
Complex Networks ◽  
Control Strategy ◽  
Pinning Control ◽  
Large Complex

Inverse Optimal Pinning Control for Complex Networks of Chaotic Systems

2015 ◽  
Vol 25 (02) ◽  
pp. 1550031 ◽  
Author(s):  
Edgar N. Sanchez ◽  
David I. Rodriguez
Keyword(s):  
Optimal Control ◽  
Complex Networks ◽  
Control Strategy ◽  
Coupling Strength ◽  
Chaotic Systems ◽  
Pinning Control ◽  
Inverse Optimal Control ◽  
Cost Functional ◽  
Control Approach ◽  
Optimal Control Approach

In this paper, a control strategy based on the inverse optimal control approach is applied for pinning weighted complex networks with chaotic systems at their nodes; additionally, a cost functional is minimized. This control strategy does not require to have the same coupling strength for all node connections.

scholarly journals Adaptive Cluster Synchronization of Complex Networks with Identical and Nonidentical Lur’e Systems

Electronics ◽  
2020 ◽  
Vol 9 (5) ◽  
pp. 706
Author(s):  
Yue Gao ◽  
Dong Ding ◽  
Ze Tang
Keyword(s):  
Numerical Simulation ◽  
Continuous Function ◽  
Complex Networks ◽  
Control Strategy ◽  
Sufficient Conditions ◽  
Function Class ◽  
Pinning Control ◽  
Cluster Synchronization ◽  
Lur’E Systems ◽  
Control Schemes

This paper is devoted to investigating the cluster synchronization of a class of nonlinearly coupled Lur’e networks. A novel adaptive pinning control strategy is introduced, which is beneficial to achieve cluster synchronization of the Lur’e systems in the same cluster and weaken the directed connections of the Lur’e systems in different clusters. The coupled complex networks consisting of not only identical Lur’e systems but also nonidentical Lur’e systems are discussed, respectively. Based on the S-procedure and the concept of acceptable nonlinear continuous function class, sufficient conditions are obtained which prove that the complex dynamical networks can be pinned to the heterogeneous solutions for any initial values. In addition, effective and comparatively small control strengths are acquired by the designing of the adaptive updating algorithm. Finally, a numerical simulation is presented to illustrate the proposed theorems and the control schemes.

Equilibrium-pinning control for complex networks with inter-node coupling strength saturation improvement

2019 ◽  
Vol 31 (01) ◽  
pp. 2050013
Author(s):  
Chen Huang ◽  
Xinbiao Lu ◽  
Jun Zhou ◽  
Huimin Qian ◽  
Haoqian Huang ◽  
...  
Keyword(s):  
Complex Networks ◽  
Control Strategy ◽  
Coupling Strength ◽  
Pinning Control ◽  
Network Equilibrium ◽  
Node Number ◽  
Network Nodes ◽  
Numerical Examples ◽  
Practical Applications ◽  
Saturation Threshold

In most conventional complex network equilibrium-pinning control, all the network nodes are usually balanced by attaching at least one controller to each node of the concerned network. When the node number is huge and the inter-node connections are complex, this control strategy requires the ability to manipulate the inter-node coupling strength to grow rapidly and intensively. In practical applications, however, the inter-node coupling strength cannot be increased unlimitedly; as a matter of fact, the coupling strength cannot be further changed after reaching some saturation threshold. In this paper, by exploiting the improved coupling strength saturation function, we suggest a new pinning control strategy that makes the network reach its equilibrium-pinning point more effectively than the network with saturated coupling strength. Numerical examples are illustrated to show the effectiveness of the main results.

scholarly journals Pinning control of complex networks with time-varying inner and outer coupling

2021 ◽  
Vol 18 (4) ◽  
pp. 3435-3447
Author(s):  
Hai Lin ◽  
◽  
Jingcheng Wang ◽  
◽  
Keyword(s):  
Complex Networks ◽  
Pinning Control ◽  
Time Varying

The Control of a Neural Complex Network

2014 ◽  
Vol 687-691 ◽  
pp. 444-446
Author(s):  
Fan Di Zhang
Keyword(s):  
Neural Network ◽  
Community Structure ◽  
Lyapunov Stability ◽  
Control Strategy ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Pinning Control ◽  
Projective Synchronization ◽  
Cluster Synchronization ◽  
Special Cases

In this paper, the synchronization of a neural network with community structure is investigated. Cluster projective generalizes previously existing synchronization schemes. The cluster projective synchronization is more general that includes projective synchronization and cluster synchronization, as its special cases. The cluster projective synchronization of these networks is discussed via some pinning control strategy. Several sufficient conditions for the network to achieve cluster projective synchronization are derived based on Lyapunov stability theory. Numerical simulations are used to demonstrate the effectiveness and feasibility of the proposed scheme.

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