Sliding Mode Stabilization of Memristive Neural Networks With Leakage Delays and Control Disturbance. Academic Article

abstract

• In this article, we investigate a class of memristive neural networks (MNNs) with time-varying delays and leakage delays via sliding mode control (SMC) with and without control disturbance. SMC is used to ensure MNNs' stability. According to the characteristics of the MNNs, we consider the following three models: the first is the MNNs with time-varying delays, the second is the MNNs with time-varying delays and the control disturbance, and the third is the MNNs with time-varying delays, leakage delays, and the control disturbance. We quote some assumptions and lemmas to ensure that our main results are true. The sliding surface, the corresponding sliding mode controller, and the Lyapunov functions are constructed in different models to ensure MNNs' stability. Finally, some examples and simulations verify the validity of our main results by solving linear matrix inequality (LMI), and the conclusions and analysis of the results are given.

authors

• Huang, Tingwen

published proceedings

• IEEE Trans Neural Netw Learn Syst

author list (cited authors)

• Sun, B. o., Cao, Y., Guo, Z., Yan, Z., Wen, S., Huang, T., & Chen, Y.

citation count

• 7

complete list of authors

• Sun, Bo||Cao, Yuting||Guo, Zhenyuan||Yan, Zheng||Wen, Shiping||Huang, Tingwen||Chen, Yiran

publication date

• March 2021

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Neural Networks and Learning Systems  Journal

keywords

• Biological Neural Networks
• Control Disturbance
• Delays
• Immune System
• Leakage Delay
• Memristive Neural Network (mnn)
• Memristors
• Neurons
• STABILITY
• Sliding Mode Control (smc)
• Time-varying Delay
• Time-varying Systems

Digital Object Identifier (DOI)

• 10.1109/TNNLS.2020.2984000

start page

• 1254

end page

• 1263

volume

• 32

issue

• 3

URL

• http://dx.doi.org/10.1109/tnnls.2020.2984000