Research article

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

  • 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

    Related Papers:

  • 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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