<p>This article explores the limited-time synchronization of fuzzy switched Cohen-Grossberg neural networks by establishing hyperbolic function-based fixed-time stability results and developing hyperbolic function control schemes. To begin with, an original fixed-time stability theorem is proposed by means of hyperbolic function, and a novel and more concise estimate for the settling time is obtained. Additionally, based on the established fixed-time stability result, the limited-time synchronization for fuzzy switched Cohen-Grossberg neural networks is investigated by designing centralized and distributed hyperbolic function controllers, which are distinct from the current power-law control schemes. In conclusion, two examples are presented to demonstrate the effectiveness of the theoretical results.</p>

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Hyperbolic function-based limited-time stability and limited-time synchronization for fuzzy switched Cohen-Grossberg neural networks

  • Xinguo Ma,
  • Cheng Hu,
  • Juan Yu,
  • Shiping Wen,
  • Leimin Wang,
  • Yuhong Sheng

摘要

This article explores the limited-time synchronization of fuzzy switched Cohen-Grossberg neural networks by establishing hyperbolic function-based fixed-time stability results and developing hyperbolic function control schemes. To begin with, an original fixed-time stability theorem is proposed by means of hyperbolic function, and a novel and more concise estimate for the settling time is obtained. Additionally, based on the established fixed-time stability result, the limited-time synchronization for fuzzy switched Cohen-Grossberg neural networks is investigated by designing centralized and distributed hyperbolic function controllers, which are distinct from the current power-law control schemes. In conclusion, two examples are presented to demonstrate the effectiveness of the theoretical results.