Design of H∞ control of neural networks with time-varying delays

Phat, V.N. and Trinh, H. 2013, Design of H∞ control of neural networks with time-varying delays, Neural computing and applications, vol. 22, no. Supplement 1, pp. 323-331, doi: 10.1007/s00521-012-0820-x.

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Title Design of H∞ control of neural networks with time-varying delays
Author(s) Phat, V.N.
Trinh, H.ORCID iD for Trinh, H.
Journal name Neural computing and applications
Volume number 22
Issue number Supplement 1
Start page 323
End page 331
Total pages 9
Publisher Springer
Place of publication Berlin, Germany
Publication date 2013
ISSN 0941-0643
Keyword(s) H∞ control
linear matrix inequalities
lyapunov function
neural networks
time-delay systems
Summary This paper deals with the H∞ control problem of neural networks with time-varying delays. The system under consideration is subject to time-varying delays and various activation functions. Based on constructing some suitable Lyapunov-Krasovskii functionals, we establish new sufficient conditions for H∞ control for two cases of time-varying delays: (1) the delays are differentiable and have an upper bound of the delay-derivatives and (2) the delays are bounded but not necessary to be differentiable. The derived conditions are formulated in terms of linear matrix inequalities, which allow simultaneous computation of two bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the effectiveness of our results.
Language eng
DOI 10.1007/s00521-012-0820-x
Field of Research 089999 Information and Computing Sciences not elsewhere classified
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category C1 Refereed article in a scholarly journal
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Document type: Journal Article
Collection: School of Engineering
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