Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities
Articles
Shanmugam Saravanan
Thiruvalluvar University
https://orcid.org/0000-0001-5016-7560
M. Syed Ali
Thiruvalluvar University
https://orcid.org/0000-0003-3747-3082
Ahmed Alsaedi
King Abdulaziz University
Bashir Ahmad
King Abdulaziz University
Published 2020-03-02
https://doi.org/10.15388/namc.2020.25.16513
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Keywords

auxilary integral inequality
finite-time boundedness
finite-time passivity
Lyapunov–Krasovskii functional
neural networks
time-varying delays

How to Cite

Saravanan S., Syed Ali M., Alsaedi A. and Ahmad B. (2020) “Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities”, Nonlinear Analysis: Modelling and Control, 25(2), pp. 206–224. doi: 10.15388/namc.2020.25.16513.

Abstract

In this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays. A triple, quadrable and five integral terms with the delay information are introduced in the new Lyapunov–Krasovskii functional (LKF). Based on the auxiliary integral inequality, Writinger integral inequality and Jensen’s inequality, several sufficient conditions are derived. Finally, numerical examples are provided to verify the effectiveness of the proposed criterion. There results are compared with the existing results. 

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