<p>Phase-change memory (PCM), as a novel type of storage device, has the characteristics of adjustable conductivity and non-volatility, enabling it to effectively simulate neural synaptic behavior. This paper investigates the global asymptotic stabilization (GAS) of phase-change fuzzy neural networks (PCFNNs) with mixed time-varying delays and reaction-diffusion terms. First, a piecewise function is established to describe the electrical conductivity of PCM. By using PCM as neural synapses and applying Takagi-Sugeno fuzzy rules, a novel class of delayed PCFNNs with reaction-diffusion terms is proposed. A fuzzy feedback controller and a fuzzy adaptive controller are designed to obtain the GAS conditions of delayed PCFNNs with reaction-diffusion terms by using Green’s formula and inequality techniques. Moreover, the GAS conditions of PCFNNs without reaction-diffusion terms are also obtained. Finally, two simulation examples are provided to verify the obtained results.</p>

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Stabilization of fuzzy phase-change neural networks with mixed time-varying delays and reaction-diffusion terms

  • Rui He,
  • Tao Dong,
  • Huaqing Li,
  • Tingwen Huang

摘要

Phase-change memory (PCM), as a novel type of storage device, has the characteristics of adjustable conductivity and non-volatility, enabling it to effectively simulate neural synaptic behavior. This paper investigates the global asymptotic stabilization (GAS) of phase-change fuzzy neural networks (PCFNNs) with mixed time-varying delays and reaction-diffusion terms. First, a piecewise function is established to describe the electrical conductivity of PCM. By using PCM as neural synapses and applying Takagi-Sugeno fuzzy rules, a novel class of delayed PCFNNs with reaction-diffusion terms is proposed. A fuzzy feedback controller and a fuzzy adaptive controller are designed to obtain the GAS conditions of delayed PCFNNs with reaction-diffusion terms by using Green’s formula and inequality techniques. Moreover, the GAS conditions of PCFNNs without reaction-diffusion terms are also obtained. Finally, two simulation examples are provided to verify the obtained results.