Global Exponential Synchronization of a Class of Memristive Neural Networks With Proportional Delays and Uncertain Parameters

GUO Yuxian; ZHOU Liqun

doi:10.21656/1000-0887.460008

Volume 47 Issue 1

Jan. 2026

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GUO Yuxian, ZHOU Liqun. Global Exponential Synchronization of a Class of Memristive Neural Networks With Proportional Delays and Uncertain Parameters[J]. Applied Mathematics and Mechanics, 2026, 47(1): 101-112. doi: 10.21656/1000-0887.460008

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Global Exponential Synchronization of a Class of Memristive Neural Networks With Proportional Delays and Uncertain Parameters

doi: 10.21656/1000-0887.460008

GUO Yuxian,
ZHOU Liqun^,

School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, P.R.China

Funds:

The National Science Foundation of China(11902221；12101452)

Received Date: 2025-01-05
Rev Recd Date: 2025-02-24

Available Online: 2026-01-21

Publish Date: 2026-01-01

Abstract

Abstract

The global exponential synchronization of a class of memristive neural networks with proportional delays and uncertain parameters was studied. Firstly, the error system of the drive-response systems was established. Secondly, the exponential function was introduced and an adaptive controller was designed, to divide the error system into 4 cases according to the switching characteristics of the system, then the proper Lyapunov functional was constructed and combined with the mean value inequality, and the global exponential synchronization criterion for the studied system was obtained. Meanwhile, the case of global exponential synchronization degenerating into global asymptotic synchronization was considered. Finally, the effectiveness of the obtained criterion was verified through a numerical example and simulation.
- proportional delay,
- memristive neural network,
- global exponential synchronization,
- global asymptotic synchronization,
- adaptive controller

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References(30)

References

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