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Complete synchronization in fixed/preassigned time of multilayered heterogeneous networks.
Tingting Zhao1, Cheng Hu1, Juan Yu1
1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China.
ISA Transactions
|November 29, 2022
Summary
This study achieves fixed/preassigned-time (FXT/PAT) synchronization in complex multilayered networks with heterogeneous nodes. Novel control methods ensure synchronization to a desired orbit, overcoming topological constraints for enhanced network control.
Area of Science:
- Complex Networks
- Control Theory
- Nonlinear Systems
Background:
- Multilayered networks exhibit complex dynamics.
- Achieving synchronization with heterogeneous nodes is challenging.
- Existing methods often have limitations in time-bound synchronization.
Purpose of the Study:
- To investigate fixed/preassigned-time (FXT/PAT) synchronization in multilayered networks.
- To develop novel control protocols for achieving arbitrary orbit synchronization.
- To overcome topological limitations and reduce conservatism in synchronization conditions.
Main Methods:
- Augmenting the network with a virtual node representing the synchronized state.
- Developing continuous control protocols based on FXT stability theory.
- Proposing two control schemes with finite control gains for PAT synchronization.
Main Results:
- Effective criteria for FXT synchronization were established.
- The relationship between synchronized time estimation and layer parameters was revealed.
- Successful validation of control designs through numerical simulations.
Conclusions:
- The proposed methods enable robust FXT/PAT synchronization in heterogeneous multilayered networks.
- The augmentation strategy effectively removes topological constraints.
- The findings offer practical insights into controlling complex network synchronization.
Keywords:
Fixed-time synchronizationHeterogeneous networkMulti-layer networkPreassigned-time synchronizationMore Related Videos
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