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دسته بندی:
شبکه های نورونی - neuron-networks
سال انتشار:
2020
عنوان انگلیسی مقاله:
ℓ1-gain filter design of discrete-time positive neural networks with mixed delays
ترجمه فارسی عنوان مقاله:
طراحی فیلتر 1-gain به دست آوردن شبکه های عصبی با زمان گسسته با تأخیرهای مختلط
منبع:
Sciencedirect - Elsevier - Neural Networks, 122 (2020) 152-162. doi:10.1016/j.neunet.2019.10.004
نویسنده:
Shunyuan Xiao, Yijun Zhang ∗, Baoyong Zhang
چکیده انگلیسی:
This paper mainly focuses on the filter design with ℓ1-gain disturbance attenuation performance
for a class of discrete-time positive neural networks. Discrete and distributed time-varying delays
occurring in neuron transmission are taken into account. Especially, the probabilistic distribution of
distributed delays is described by a Bernoulli random process in the system model. First, criteria on
the positiveness and the unique equilibrium of discrete-time neural networks are presented. Second,
through linear Lyapunov method, sufficient conditions for globally asymptotic stability with ℓ1-gain
disturbance attenuation performance of positive neural networks are proposed. Third, using the results
obtained above, criteria on ℓ1-gain stability of the established filtering error system are presented,
based on which a linear programming (LP) approach is put forward to design the desired positive filter.
Finally, two examples of applications to water distribution network and genetic regulatory network
are given to demonstrate the effectiveness and applicability of the derived results.
Keywords: Positive neural networks | Mixed delays | Filtering analysis | ℓ1-gain performance
قیمت: رایگان
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