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Synchronization of continuous dynamical networks with discrete-time communications
Yan-Wu Wang1, Jiang-Wen Xiao, Changyun Wen
1Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China. wangyw@mail.hust.edu.cn
IEEE Transactions on Neural Networks
|November 2, 2011
Summary
This study addresses synchronization in continuous dynamical networks with discrete-time communications. A new criterion ensures synchronization despite uncertain communication intervals, enhancing network control.
Area of Science:
- Control Theory
- Network Science
- Dynamical Systems
Background:
- Continuous dynamical networks often face challenges with discrete-time communication.
- Uncertain and variable communication intervals complicate synchronization.
- Existing methods may not fully address these communication uncertainties.
Purpose of the Study:
- To investigate and achieve synchronization in continuous dynamical networks with discrete-time communications.
- To develop a robust synchronization criterion accounting for uncertain communication intervals.
- To extend and improve upon existing synchronization techniques for such networks.
Main Methods:
- Utilizing a piecewise Lyapunov-Krasovskii functional to model discrete communication instants.
- Employing a convex combination technique for analysis.
- Deriving a synchronization criterion expressed via linear matrix inequalities.
Main Results:
- A novel synchronization criterion is established, providing an upper bound for communication intervals.
- The proposed method demonstrates effectiveness in simulations.
- Relationships between allowable communication intervals and network coupling strength are clarified.
Conclusions:
- The developed synchronization criterion is effective for continuous dynamical networks with discrete-time communications.
- The findings offer improved methods for managing synchronization under communication uncertainties.
- The study provides valuable insights for designing and controlling complex networks.
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