@article{Xue2024, 
author = {Wenlong Xue and Yufeng Tian and Zhenghong Jin},
title = {A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {19049-19067},
keywords = {neural networks, Markovian jumps, extended dissipativity, nonzero delay-product-type functional},
url = {https://www.sciopen.com/article/10.3934/math.2024927},
doi = {10.3934/math.2024927},
abstract = {This paper explored the topic of extended dissipativity analysis for Markovian jump neural networks (MJNNs) that were influenced by time-varying delays. A distinctive Lyapunov functional, distinguished by a non-zero delay-product types, was presented. This was achieved by combining a Wirtinger-based double integral inequality with a flexible matrix set. This novel methodology addressed the limitations of the slack matrices found in earlier research. As a result, a fresh condition for extended dissipativity in MJNNs was formulated, utilizing an exponential type reciprocally convex inequality in conjunction with the newly introduced nonzero delay-product types. A numerical example was included to demonstrate the effectiveness of the proposed methodology.}
}