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Output synchronization of reaction-diffusion neural networks with multiple output couplings via generalized intermittent control

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  • Huang, Zhuoyuan
  • Bao, Haibo

Abstract

This paper specializes in exponential output synchronization of reaction-diffusion neural networks (RDNNs) for two different cases of output couplings. The proposed model is novel for incorporating multiple output couplings related to their own output states as well as output spatial diffusion couplings in the absence of ordinary differential equations (ODE) systems. Generalized intermittent control based on spatial sampled-data is adopted for the first time to handle error systems consisting of the states of RDNNs with different output couplings scenarios and the average of the sum of their output states to achieve exponential stability. Some sufficient conditions for determining the proposed network models are established by control protocols based on the Lyapunov functional method. Finally, the obtained theoretical results are demonstrated to be valid by numerical simulations.

Suggested Citation

  • Huang, Zhuoyuan & Bao, Haibo, 2024. "Output synchronization of reaction-diffusion neural networks with multiple output couplings via generalized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    • Handle: RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002832
    DOI: 10.1016/j.amc.2024.128822
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