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This paper focuses on the stochastic passivity problem of stochastic memristor-based complex valued neural networks with two different types of time-delays and reaction-diffusion terms by sampled-data control strategy. Different from the existing sampled-data strategies, this paper develops spatial and temporal point sampling, namely, only a finite number of points in space or time are sampled. By introducing two different Lyapunov functional and employing techniques such as Wirtinger's integral inequality, Jensen's inequality and Young's inequality, etc., two different sufficient conditions for the stochastic passivity of the system are established. Prominently, the condition quantitatively reveals the relationship between the upper and lower bounds of the sampling interval at spatial and temporal points. Finally, a numerical example is given to verify the rationality of the proposed method. Notice, compared with a large number of results of real-valued reaction-diffusion neural networks, the research results of sampled-data controlled complex-valued reaction-diffusion neural networks have not appeared so far, and this work is the first attempt to fill in the gaps in this topic. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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来源 :
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN: 0016-0032
年份: 2022
期: 18
卷: 359
页码: 11108-11134
4 . 1
JCR@2022
4 . 1 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:49
JCR分区:1
中科院分区:2
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