Practical generalized finite-time synchronization of duplex networks with quantized and delayed couplings via intermittent control

Ting Yang; Li Cao; Wanli Zhang; Ting Yang; Li Cao; Wanli Zhang

doi:10.3934/math.2024990

AIMS Mathematics

2024, Volume 9, Issue 8: 20350-20366. doi: 10.3934/math.2024990

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Research article

Practical generalized finite-time synchronization of duplex networks with quantized and delayed couplings via intermittent control

College of Computer and Information Science, Chongqing Normal University, Chongqing 401331, China

Received: 26 April 2024 Revised: 09 June 2024 Accepted: 17 June 2024 Published: 24 June 2024
MSC : 93C10, 93C23

This paper investigates the practical generalized finite-time synchronization (PGFETS) of duplex networks with quantized and delayed couplings. Given that continuous transmission of signals will increase the load and cost of communication, we introduce quantized couplings in the model. Then, via the theorem of finite-time stability, the PGFETS is proposed based on the fact that PGFETS is much more extensive and practical than classical finite-time synchronization. Some sufficient criteria are formulated to achieve the goal of synchronization by utilizing quantized intermittent control schemes. Lastly, the validity of the theoretical results is illustrated by numerical simulations.
- practical generalized finite-time synchronization,
- duplex networks,
- quantized couplings,
- time delays,
- intermittent control
Citation: Ting Yang, Li Cao, Wanli Zhang. Practical generalized finite-time synchronization of duplex networks with quantized and delayed couplings via intermittent control[J]. AIMS Mathematics, 2024, 9(8): 20350-20366. doi: 10.3934/math.2024990

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Abstract

This paper investigates the practical generalized finite-time synchronization (PGFETS) of duplex networks with quantized and delayed couplings. Given that continuous transmission of signals will increase the load and cost of communication, we introduce quantized couplings in the model. Then, via the theorem of finite-time stability, the PGFETS is proposed based on the fact that PGFETS is much more extensive and practical than classical finite-time synchronization. Some sufficient criteria are formulated to achieve the goal of synchronization by utilizing quantized intermittent control schemes. Lastly, the validity of the theoretical results is illustrated by numerical simulations.

References

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