Ultimate Boundedness of Discrete-Time Uncertain Neural Networks with Leakage and Time-Varying Delays

Jiajun Hua

Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310023, PR China.

Danhua He *

Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310023, PR China.

*Author to whom correspondence should be addressed.


Abstract

In this paper, by using the general discrete Halanay inequalities, the techniques of inequalities and some other properties, we study the ultimate boundedness of a class of the discrete-time uncertain neural network systems and obtain several sufficient conditions to ensure the ultimate boundedness of discrete-time uncertain neural networks with leakage and time-varying delays. Finally numerical examples are given to verify the correctness of the conclusion.

Keywords: Discrete-time neural network, ultimate boundedness, time-varying delay, uncertainty


How to Cite

Hua, Jiajun, and Danhua He. 2021. “Ultimate Boundedness of Discrete-Time Uncertain Neural Networks With Leakage and Time-Varying Delays”. Journal of Advances in Mathematics and Computer Science 36 (6):97-109. https://doi.org/10.9734/jamcs/2021/v36i630377.

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