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Error Estimation for Quasi-Synchronization of Multilayer Dynamical Networks: A Pinning Delayed Impulsive Control
IEEE Transactions on Cybernetics
|September 25, 2025
Summary
This study introduces a new control strategy for multilayer dynamical networks to achieve cost-effective quasi-synchronization. The method ensures reliable network synchronization within specified error bounds, enhancing control system performance.
Area of Science:
- Complex Systems
- Network Science
- Control Theory
Background:
- Multilayer dynamical networks exhibit complex behaviors due to interconnected layers and time-varying couplings.
- Achieving synchronization in such networks is challenging due to factors like directionality and communication delays.
Purpose of the Study:
- To develop an effective error estimation method for quasi-synchronization in multilayer dynamical networks.
- To design a cost-effective pinning impulsive control strategy for enhanced network synchronization.
Main Methods:
- A novel pinning impulsive control strategy is proposed, utilizing impulse delay information and the number of pinned nodes.
- An iterative algorithm is employed to establish a delay-dependent impulsive differential inequality.
- Quasi-synchronization criteria are derived to guarantee convergence within a prescribed error level.
Main Results:
- New criteria for quasi-synchronization are established, ensuring convergence within a defined error tolerance.
- Explicit analytical expressions for synchronization error bounds are obtained.
- The method's effectiveness is demonstrated on multilayer single-link robot arm networks.
Conclusions:
- The proposed method provides a robust framework for error estimation and control in multilayer dynamical networks.
- The developed criteria offer flexibility in impulse delay selection for synchronization.
- Numerical simulations confirm the practical applicability and effectiveness of the proposed synchronization strategy.
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