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Article

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

1
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
2
Department of Mathematics, Faculty of Science, University of Phayao, Phayao 56000, Thailand
3
Department of Mathematics Statistics and Computer, Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand
*
Authors to whom correspondence should be addressed.
Academic Editors: Yongwimon Lenbury, Ravi P. Agarwal, Philip Broadbridge and Dongwoo Sheen
Received: 29 April 2021 / Revised: 19 May 2021 / Accepted: 25 May 2021 / Published: 28 May 2021
This paper is concerned the problem of robust H control for uncertain neural networks with mixed time-varying delays comprising different interval and distributed time-varying delays via hybrid feedback control. The interval and distributed time-varying delays are not necessary to be differentiable. The main purpose of this research is to estimate robust exponential stability of uncertain neural network with H performance attenuation level γ. The key features of the approach include the introduction of a new Lyapunov–Krasovskii functional (LKF) with triple integral terms, the employment of a tighter bounding technique, some slack matrices and newly introduced convex combination condition in the calculation, improved delay-dependent sufficient conditions for the robust H control with exponential stability of the system are obtained in terms of linear matrix inequalities (LMIs). The results of this paper complement the previously known ones. Finally, a numerical example is presented to show the effectiveness of the proposed methods. View Full-Text
Keywords: neural networks; H control; hybrid feedback control; mixed time-varying delay neural networks; H control; hybrid feedback control; mixed time-varying delay
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MDPI and ACS Style

Chantawat, C.; Botmart, T.; Supama, R.; Weera, W.; Noinang, S. 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. Computation 2021, 9, 62. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9060062

AMA Style

Chantawat C, Botmart T, Supama R, Weera W, Noinang S. 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. Computation. 2021; 9(6):62. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9060062

Chicago/Turabian Style

Chantawat, Charuwat, Thongchai Botmart, Rattaporn Supama, Wajaree Weera, and Sakda Noinang. 2021. "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" Computation 9, no. 6: 62. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9060062

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