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Event-triggered synchronization of uncertain delayed generalized RDNNs

  • Foundation, algebraic, and analytical methods in soft computing
  • Published:
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Abstract

This paper investigates the exponential synchronization analysis of master–slave chaotic uncertain delayed generalized reaction–diffusion neural networks (GRDNNs) with event-triggered control scheme. A delay GRDNNs system model for the analysis is constructed by investigating the effect of the network transmission delay. By constructing a novel Lyapunov–Krasovskii functional and using a delay system approach for designing event-triggered controllers and some inequality techniques like Jensen’s inequality, Wirtinger’s inequality and Halanay’s inequality, the criteria are obtained for the event-triggered synchronization analysis and control synthesis of delayed GRDNNs. The synchronization criteria are formulated in terms of linear matrix inequalities. Finally, we conclude that the slave systems synchronize with the master systems. Two examples show the proposed theoretical results are feasible and effective.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China under Grants No. 61573013, the Special research projects in Shaanxi Province Department of Education under Grant No. 17JK0824 and Young and middle-aged top talents projects of Xianyang Normal University under Grant No. XSYBJ201801.

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Authors and Affiliations

  1. Institute of Nonlinear Science, Xianyang Normal University, Xianyang, 712000, People’s Republic of China

    Weiyuan Zhang

  2. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, People’s Republic of China

    Junmin Li & Xinyu Zhang

  3. State Key Laboratory for Manufacturing Systems Engineering, and Systems Engineering Institute, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China

    Keyi Xing & Rui Zhang

  4. State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China

    Rui Zhang

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  1. Weiyuan Zhang
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Correspondence to Weiyuan Zhang.

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Zhang, W., Li, J., Xing, K. et al. Event-triggered synchronization of uncertain delayed generalized RDNNs. Soft Comput 25, 13243–13261 (2021). https://doi.org/10.1007/s00500-021-06166-6

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