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Published in: Neural Processing Letters 1/2023

10-06-2022

Stability Analysis of the Impulsive Projection Neural Network

Authors: Jia Chen, Jin Hu, B. O. Onasanya, Yuming Feng

Published in: Neural Processing Letters | Issue 1/2023

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Abstract

Since the neural network model may be affected by the impulse, a projection neural network(PNN) model with impulsive effect, named impulsive projection neural network(IPNN), is proposed in this paper. The IPNN can solve the variational inequalities and related optimization problems much faster than the PNN. We obtain the stability of the IPNN in two steps. Firstly, we construct a Lyapunov function to prove the stability of the PNN. Secondly, we prove that the Lyapunov function is non-increasing under the influence of impulsive effect. Finally, we give three simulation examples to show the performance of the IPNN.

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Metadata
Title
Stability Analysis of the Impulsive Projection Neural Network
Authors
Jia Chen
Jin Hu
B. O. Onasanya
Yuming Feng
Publication date
10-06-2022
Publisher
Springer US
Published in
Neural Processing Letters / Issue 1/2023
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-022-10901-x

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