Finite-Time Synchronization of Complex Dynamical Networks With Input Saturation
IEEE Transactions on Cybernetics
|April 4, 2023
Summary
This study explores finite-time synchronization (FTS) in complex networks using saturated controllers. It establishes a relationship between controller structure, settling time, and domain of attraction for effective FTS.
Area of Science:
- Complex Dynamical Networks
- Control Theory
- Nonlinear Systems
Background:
- Finite-time synchronization (FTS) is crucial for complex dynamical networks.
- Input saturation poses challenges in achieving synchronization.
- Existing methods may not fully address the impact of saturation on FTS.
Purpose of the Study:
- To investigate finite-time synchronization (FTS) in complex dynamical networks under input saturation.
- To develop novel saturated controllers for achieving FTS.
- To analyze the relationship between saturation structure, settling time, and domain of attraction.
Main Methods:
- Design of different classes of saturated controllers.
- Development of criteria for leader-follower and leaderless synchronization.
- Analysis of the influence of saturation structure on domain of attraction and settling time.
Main Results:
- Two types of FTS criteria (leader-follower and leaderless) are presented.
- A relationship between saturation structure, settling time, and domain of attraction is established.
- Saturation structure is shown to affect both domain of attraction estimation and FTS settling time.
Conclusions:
- The proposed saturated controllers effectively achieve finite-time synchronization in complex networks.
- The findings provide crucial insights into managing input saturation for synchronization tasks.
- Numerical examples validate the effectiveness of the developed FTS strategies.
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