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Existence and synchronization of coupled stochastic infinite-dimensional systems via aperiodically intermittent control

Author

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  • Ni Yang
  • Renjie Ji
  • Huan Su

Abstract

This paper analyzes a class of stochastic coupled systems with time-varying delays in infinite dimensions. The existence and uniqueness as a prerequisite to ensure synchronization of the solution is analyzed, based on the idea of the contraction mapping principle, graph theory, and mild Itô's formula. Next, the p-th moment exponential synchronization (PMES) of infinite-dimensional systems is realised using the discrete control strategy, namely, aperiodically intermittent control (AIC). By combining graph theory with the Lyapunov method, several criteria for synchronizing infinite-dimensional systems are obtained using the mild Itô's formula. These criteria show the effects of control parameters, topology, and time delays on PMES. Finally, the theoretical results are applied to a class of neural networks with reaction-diffusion, and some numerical simulations are also given.

Suggested Citation

  • Ni Yang & Renjie Ji & Huan Su, 2023. "Existence and synchronization of coupled stochastic infinite-dimensional systems via aperiodically intermittent control," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(14), pages 2718-2733, October.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2718-2733
    DOI: 10.1080/00207721.2023.2249159
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