Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays
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Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
2
Faculty of Agriculture and Technology, Nakhon Phanom University, Nakhon Phanom 48000, Thailand
*
Author to whom correspondence should be addressed.
Academic Editors: Quanxin Zhu and Ezequiel López-Rubio
Mathematics 2021, 9(24), 3321; https://doi.org/10.3390/math9243321
Received: 2 November 2021
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Revised: 2 December 2021
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Accepted: 15 December 2021
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Published: 20 December 2021
(This article belongs to the Special Issue Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering)
This research study investigates the issue of finite-time passivity analysis of neutral-type neural networks with mixed time-varying delays. The time-varying delays are distributed, discrete and neutral in that the upper bounds for the delays are available. We are investigating the creation of sufficient conditions for finite boundness, finite-time stability and finite-time passivity, which has never been performed before. First, we create a new Lyapunov–Krasovskii functional, Peng–Park’s integral inequality, descriptor model transformation and zero equation use, and then we use Wirtinger’s integral inequality technique. New finite-time stability necessary conditions are constructed in terms of linear matrix inequalities in order to guarantee finite-time stability for the system. Finally, numerical examples are presented to demonstrate the result’s effectiveness. Moreover, our proposed criteria are less conservative than prior studies in terms of larger time-delay bounds.
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Keywords:
neural networks; finite-time passivity; linear matrix inequality; distributed delay; neutral system
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MDPI and ACS Style
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
AMA Style
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
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