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Finite time convergence of pinning synchronization with a single nonlinear controller
Tianping Chen1, Wenlian Lu2, Xiwei Liu3
1School of Computer Sciences/Mathematics, Fudan University, 200433, Shanghai, China.
Summary
This study achieves finite-time distributive synchronization for complex networks using a single nonlinear pinning controller. It addresses directed graphs and heterogeneous networks, advancing synchronization control strategies.
Area of Science:
- Complex networks
- Nonlinear control theory
- Systems engineering
Background:
- Network synchronization is crucial for various applications.
- Existing methods often assume undirected graphs or symmetric matrices.
- Controlling complex networks with asymmetric coupling is challenging.
Purpose of the Study:
- To achieve finite-time distributive synchronization in complex networks.
- To utilize a single nonlinear pinning controller for this task.
- To extend synchronization control to networks with asymmetric coupling matrices.
Main Methods:
- Developing a novel control strategy for finite-time synchronization.
- Applying a single nonlinear pinning controller.
- Analyzing the synchronization dynamics of heterogeneous networks with directed graphs.
Main Results:
- Finite-time distributive synchronization is achieved.
- The proposed method is effective for networks with asymmetric coupling matrices.
- The approach is validated for heterogeneous dynamic networks.
Conclusions:
- The proposed pinning control strategy enables efficient finite-time synchronization in complex networks.
- The method's applicability to directed and heterogeneous networks is demonstrated.
- This work offers a new perspective on controlling complex dynamical systems.
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