Non-fragile mixed H-infinity and passivity control for neural networks with successive time-varying delay components
Articles
Sathasivam Rajavel
Thiruvalluvar University, India
Rajendran Samidurai
Thiruvalluvar University, India
Sebastiyan Anthuvan Jerome Kilbert
Thiruvalluvar University, India
Jinde Cao
Southeast University, China; King Abdulaziz University, Saudi Arabia
Ahmed Alsaedi
King Abdulaziz University, Saudi Arabia
Published 2018-04-12
https://doi.org/10.15388/NA.2018.2.2
PDF

Keywords

nonfragile
successive time-varying delay components
Lyapunov–Krasovskii function
H-infinity and passivity control

How to Cite

Rajavel S., Samidurai R., Kilbert S. A. J., Cao J. and Alsaedi A. (2018) “Non-fragile mixed H-infinity and passivity control for neural networks with successive time-varying delay components”, Nonlinear Analysis: Modelling and Control, 23(2), pp. 159-181. doi: 10.15388/NA.2018.2.2.

Abstract

This paper is concerned with the problem of nonfragile mixed H and passivity control for neural networks with successive time-varying delay components. We construct a suitable Lyapunov–Krasovskii function with triple and quadruple integral terms then utilizing Jensen's lemma and Wirtinger-type inequality technique. Some sufficient conditions are presented for the existence of nonfragile mixed H and passivity performance criterions. The expressions for the nonfragile controller can be obtained by solving a set of linear matrix inequality. Finally, two numerical examples are presented to demonstrate the effectiveness of our proposed method.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy