Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm

Joint Authors

Humphries, Usa
Thoiyab, N. Mohamed
Muruganantham, P.
Rajchakit, Grienggrai
Gunasekaran, Nallappan
Unyong, Bundit
Kaewmesri, Pramet
Lim, Chee Peng

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-10-12

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Civil Engineering

Abstract EN

This paper deals with the global asymptotic robust stability (GARS) of neural networks (NNs) with constant time delay via Frobenius norm.

The Frobenius norm result has been utilized to find a new sufficient condition for the existence, uniqueness, and GARS of equilibrium point of the NNs.

Some suitable Lyapunov functional and the slope bounded functions have been employed to find the new sufficient condition for GARS of NNs.

Finally, we give some comparative study of numerical examples for explaining the advantageous of the proposed result along with the existing GARS results in terms of network parameters.

American Psychological Association (APA)

Thoiyab, N. Mohamed& Muruganantham, P.& Rajchakit, Grienggrai& Gunasekaran, Nallappan& Unyong, Bundit& Humphries, Usa…[et al.]. 2020. Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1195136

Modern Language Association (MLA)

Thoiyab, N. Mohamed…[et al.]. Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm. Mathematical Problems in Engineering No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1195136

American Medical Association (AMA)

Thoiyab, N. Mohamed& Muruganantham, P.& Rajchakit, Grienggrai& Gunasekaran, Nallappan& Unyong, Bundit& Humphries, Usa…[et al.]. Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1195136

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1195136