Lag synchronization of complex-valued interval neural networks via distributed delayed impulsive control

Zhifeng Lu; Fei Wang; Yujuan Tian; Yaping Li; Zhifeng Lu; Fei Wang; Yujuan Tian; Yaping Li

doi:10.3934/math.2023277

AIMS Mathematics

2023, Volume 8, Issue 3: 5502-5521. doi: 10.3934/math.2023277

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Research article

Lag synchronization of complex-valued interval neural networks via distributed delayed impulsive control

1.
School of Mathematics and Statistics, Shandong Normal University, Ji'nan, 250014, China
2.
School of Information Engineering, Shandong Management University, Ji'nan, 250357, China

Received: 21 October 2022 Revised: 27 November 2022 Accepted: 04 December 2022 Published: 19 December 2022
MSC : 34D06, 92B20, 93C27

This paper investigates the lag synchronization problem of complex-valued interval neural networks with both discrete and distributed time-varying delays under delayed impulsive control. A distributed delayed impulsive controller that depends on the accumulation of the states over a history time period is designed to guarantee the exponential lag synchronization between the drive and the response systems. By employing the complex Lyapunov method and a novel impulsive differential inequality technique, some delay-dependent synchronization criteria are established in terms of complex-valued linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.
Citation: Zhifeng Lu, Fei Wang, Yujuan Tian, Yaping Li. Lag synchronization of complex-valued interval neural networks via distributed delayed impulsive control[J]. AIMS Mathematics, 2023, 8(3): 5502-5521. doi: 10.3934/math.2023277

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Abstract

This paper investigates the lag synchronization problem of complex-valued interval neural networks with both discrete and distributed time-varying delays under delayed impulsive control. A distributed delayed impulsive controller that depends on the accumulation of the states over a history time period is designed to guarantee the exponential lag synchronization between the drive and the response systems. By employing the complex Lyapunov method and a novel impulsive differential inequality technique, some delay-dependent synchronization criteria are established in terms of complex-valued linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

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