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Hybrid Feedback Control for Exponential Stability and Robust H Control of a Class of Uncertain Neural Network with Mixed Interval and Distributed Time-Varying Delays
Article

LMI-Based Results on Robust Exponential Passivity of Uncertain Neutral-Type Neural Networks with Mixed Interval Time-Varying Delays via the Reciprocally Convex Combination Technique

1
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
2
Department of Applied Mathematics and Statistics, Faculty of Science and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand
3
Rail System Institute, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand
*
Author to whom correspondence should be addressed.
Academic Editors: Yongwimon Lenbury, Ravi P. Agarwal, Philip Broadbridge and Dongwoo Sheen
Computation 2021, 9(6), 70; https://doi.org/10.3390/computation9060070
Received: 30 April 2021 / Revised: 6 June 2021 / Accepted: 7 June 2021 / Published: 10 June 2021
The issue of the robust exponential passivity analysis for uncertain neutral-type neural networks with mixed interval time-varying delays is discussed in this work. For our purpose, the lower bounds of the delays are allowed to be either positive or zero adopting the combination of the model transformation, various inequalities, the reciprocally convex combination, and suitable Lyapunov–Krasovskii functional. A new robust exponential passivity criterion is received and formulated in the form of linear matrix inequalities (LMIs). Moreover, a new exponential passivity criterion is also examined for systems without uncertainty. Four numerical examples indicate our potential results exceed the previous results. View Full-Text
Keywords: robust exponential passivity; neutral-type neural networks; Lyapunov–Krasovskii functional; interval time-varying delays robust exponential passivity; neutral-type neural networks; Lyapunov–Krasovskii functional; interval time-varying delays
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MDPI and ACS Style

Samorn, N.; Yotha, N.; Srisilp, P.; Mukdasai, K. LMI-Based Results on Robust Exponential Passivity of Uncertain Neutral-Type Neural Networks with Mixed Interval Time-Varying Delays via the Reciprocally Convex Combination Technique. Computation 2021, 9, 70. https://doi.org/10.3390/computation9060070

AMA Style

Samorn N, Yotha N, Srisilp P, Mukdasai K. LMI-Based Results on Robust Exponential Passivity of Uncertain Neutral-Type Neural Networks with Mixed Interval Time-Varying Delays via the Reciprocally Convex Combination Technique. Computation. 2021; 9(6):70. https://doi.org/10.3390/computation9060070

Chicago/Turabian Style

Samorn, Nayika; Yotha, Narongsak; Srisilp, Pantiwa; Mukdasai, Kanit. 2021. "LMI-Based Results on Robust Exponential Passivity of Uncertain Neutral-Type Neural Networks with Mixed Interval Time-Varying Delays via the Reciprocally Convex Combination Technique" Computation 9, no. 6: 70. https://doi.org/10.3390/computation9060070

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