Cluster stochastic synchronization of complex dynamical networks via fixed-time control scheme
Wanli Zhang1, Chuandong Li2, Hongfei Li2
1College of Computer and Information Science, Chongqing Normal University, Chongqing 401331, China.
Summary
This study introduces a fixed-time control technique for achieving cluster stochastic synchronization in complex networks. The proposed quantized controller enhances synchronization convergence, outperforming existing methods.
Area of Science:
- Complex Networks
- Control Theory
- Nonlinear Systems
Background:
- Investigating synchronization in complex networks is crucial for understanding emergent behaviors in various systems.
- Stochastic dynamics introduce challenges in achieving predictable network states.
- Fixed-time control offers finite-time convergence with improved settling times compared to traditional methods.
Purpose of the Study:
- To develop a fixed-time control strategy for cluster stochastic synchronization in complex networks.
- To design a quantized controller ensuring synchronization within a predetermined settling time.
- To enhance the convergence rate of synchronization compared to existing fixed-time control approaches.
Main Methods:
- Utilizing a fixed-time control (FDT) technique.
- Designing a quantized controller for synchronization.
- Employing Lyapunov functional and comparison system methods to establish synchronization criteria.
Main Results:
- The proposed fixed-time control technique successfully achieves cluster stochastic synchronization in complex networks.
- The designed quantized controller guarantees synchronization within a finite settling time.
- The established FDT synchronization criteria demonstrate improved convergence compared to prior studies.
Conclusions:
- The fixed-time control approach is effective for achieving cluster stochastic synchronization in complex networks.
- The quantized controller design offers enhanced synchronization performance and faster convergence.
- Numerical simulations validate the theoretical findings and the efficacy of the proposed method.
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