Improved stability results for neural networks of neutral type with additive time‐varying delays and Markovian jumping parameters

This paper investigates stability problem for neural networks of neutral type with additive time‐varying delays and Markovian jump parameters. By constructing an improved Lyapunov‐Krasovskii functional with triple and four integral terms and applying the free matrix variables in approximating certain integral quadratic terms, applying the free matrix variables in approximating certain integral quadratic terms, we derived the stability condition in terms of linear matrix inequalities (LMIs). Two numerical examples are provided to show the effectiveness of the proposed method. The obtained results are compared with the existing results to show the conservativeness.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2024-12-01
DOI
https://doi.org/10.1002/mma.10597
Citations
4
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
1.40
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article

Improved stability results for neural networks of neutral type with additive time‐varying delays and Markovian jumping parameters

D. Ajay, R. Agalya, R. Sugumar
4 citations
Mathematical Methods in the Applied Sciences
Neural Networks Stability and Synchronization
1.40
article

Improved stability results for neural networks of neutral type with additive time‐varying delays and Markovian jumping parameters

D. Ajay, R. Agalya, R. Sugumar
article en
4 citations

Abstract

This paper investigates stability problem for neural networks of neutral type with additive time‐varying delays and Markovian jump parameters. By constructing an improved Lyapunov‐Krasovskii functional with triple and four integral terms and applying the free matrix variables in approximating certain integral quadratic terms, applying the free matrix variables in approximating certain integral quadratic terms, we derived the stability condition in terms of linear matrix inequalities (LMIs). Two numerical examples are provided to show the effectiveness of the proposed method. The obtained results are compared with the existing results to show the conservativeness.

Mathematical Methods in the Applied SciencesVol. 48(4)
Thiruvalluvar University (IN), Sacred Heart College (IN)
Openalex Percentile: Top 16%
Neural Networks Stability and Synchronization
1.40
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Improved stability results for neural networks of neutral type with additive time‐varying delays and Markovian jumping parameters — D. Ajay, R. Agalya, et al. · Mathematical Methods in the Applied Sciences (2024) | TGRS Research Map | TGRS