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Open AccessArticle

Robust Dissipativity Analysis of Hopfield-Type Complex-Valued Neural Networks with Time-Varying Delays and Linear Fractional Uncertainties

1
Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
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Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 52290, Thailand
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Department of Science and Humanities, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi, Tamil Nadu 600 062, India
4
Institute for Intelligent Systems Research and Innovation, Deakin University, Waurn Ponds, VIC 3216, Australia
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Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 595; https://doi.org/10.3390/math8040595
Received: 19 March 2020 / Revised: 10 April 2020 / Accepted: 11 April 2020 / Published: 15 April 2020
We study the robust dissipativity issue with respect to the Hopfield-type of complex-valued neural network (HTCVNN) models incorporated with time-varying delays and linear fractional uncertainties. To avoid the computational issues in the complex domain, we divide the original complex-valued system into two real-valued systems. We devise an appropriate Lyapunov-Krasovskii functional (LKF) equipped with general integral terms to facilitate the analysis. By exploiting the multiple integral inequality method, the sufficient conditions for the dissipativity of HTCVNN models are obtained via the linear matrix inequalities (LMIs). The MATLAB software package is used to solve the LMIs effectively. We devise a number of numerical models and their empirical results positively ascertain the obtained results. View Full-Text
Keywords: dissipativity analysis; Hopfield neural networks; integral inequality; time-varying delays dissipativity analysis; Hopfield neural networks; integral inequality; time-varying delays
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MDPI and ACS Style

Chanthorn, P.; Rajchakit, G.; Ramalingam, S.; Lim, C.P.; Ramachandran, R. Robust Dissipativity Analysis of Hopfield-Type Complex-Valued Neural Networks with Time-Varying Delays and Linear Fractional Uncertainties. Mathematics 2020, 8, 595.

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