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Sampled-data synchronization of complex network based on periodic self-triggered intermittent control and its
Hui Zhou1, Zijiang Liu1, Dianhui Chu2
1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China.
Summary
This study introduces a novel periodic self-triggered intermittent sampled-data control for time-varying multi-weights networks with time delays. The method ensures exponential synchronization, offering practical applications in image encryption.
Area of Science:
- Control Theory
- Network Synchronization
- Applied Mathematics
Background:
- Time-varying multi-weights networks with time delays (TMNTD) present complex synchronization challenges.
- Existing control strategies often lack the adaptability required for such dynamic systems.
- The integration of sampled-data control with intermittent and self-triggered schemes is underexplored.
Purpose of the Study:
- To investigate the exponential synchronization of TMNTD using a novel control approach.
- To develop and validate sufficient conditions for achieving synchronization in these complex networks.
- To explore practical applications, such as image encryption, based on the synchronization results.
Main Methods:
- Development of a periodic self-triggered intermittent sampled-data control strategy.
- Application of sampled-data control, intermittent control, and event-driven control theories.
- Utilizing stability analysis to derive synchronization conditions for TMNTD.
Main Results:
- Sufficient conditions for guaranteeing exponential synchronization of TMNTD were derived.
- The proposed control method was successfully applied to time-varying multi-weights Chua's circuits with time delays.
- Numerical simulations confirmed the effectiveness of the theoretical findings.
Conclusions:
- The novel control strategy effectively achieves exponential synchronization in TMNTD.
- The integration of periodic self-triggered and intermittent sampled-data control offers promising application prospects.
- The developed synchronization techniques can be applied to practical problems like image encryption.
Keywords:
Complex networksImage encryptionIntermittent controlPeriodic self-triggered controlSampled-data controlMore Related Videos
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