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On the stability of sets for reaction–diffusion Cohen–Grossberg delayed neural networks

  • * Corresponding author: Ivanka Stamova

    * Corresponding author: Ivanka Stamova 
This paper is supported in part by the European Regional Development Fund through the Operational Programme "Science and Education for Smart Growth" under Contract UNITe No. BG05M2OP001–1.001–0004 (2018–2023)
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  • In this paper, we introduce the notion of stability of sets for reaction-diffusion Cohen–Grossberg neural networks with time-varying delays. The Lyapunov–Razumikhin technique and a comparison principle are adapted to prove the new stability criteria. In addition, the obtained results are extended to the uncertain case, and the robust stability notion is also investigated. Examples are considered to demonstrate the effectiveness of our results.

    Mathematics Subject Classification: Primary: 92B20, 34K20; Secondary: 34K60.

    Citation:

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