Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays
Abstract
:1. Introduction
- (i)
- We examine a system with mixed time-varying delays in this study. Furthermore, because time-varying delays are distributed, discrete and neutral, the upper bounds for the delays are known.
- (ii)
- We then used the theorems to derive finite-time boundedness, finite-stability and finite-time passivity requirements.
- (iii)
- By using Peng-integral Park’s inequality, model transformation, zero equation and subsequently Wirtinger-based integral inequality approach, some of the simplest LMI-based criteria have been developed.
- (iv)
- Several cases have been examined to ensure that the primary theorem and its corollaries are accurate.
2. Preliminaries
- (a)
- For any external disturbances , system (1) is finite-time bounded;
- (b)
- For a given positive scalar , the following relationship holds under a zero initial condition.
3. Main Results
3.1. Finite-Time Boundedness Analysis
3.2. Finite-Time Stability Analysis
3.3. Finite-Time Passivity Analysis
4. Numerical Examples
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
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Khonchaiyaphum, I.; Samorn, N.; Botmart, T.; Mukdasai, K. Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays. Mathematics 2021, 9, 3321. https://doi.org/10.3390/math9243321
Khonchaiyaphum I, Samorn N, Botmart T, Mukdasai K. Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays. Mathematics. 2021; 9(24):3321. https://doi.org/10.3390/math9243321
Chicago/Turabian StyleKhonchaiyaphum, Issaraporn, Nayika Samorn, Thongchai Botmart, and Kanit Mukdasai. 2021. "Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays" Mathematics 9, no. 24: 3321. https://doi.org/10.3390/math9243321
APA StyleKhonchaiyaphum, I., Samorn, N., Botmart, T., & Mukdasai, K. (2021). Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays. Mathematics, 9(24), 3321. https://doi.org/10.3390/math9243321