Affiliations: [a] Department of Mathematics, National Institute of Technology Agartala, India
| [b] Department of Electrical Engineering, National Institute of Technology Silchar, India
| [c] Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, Japan
| [d] Department of Electronic Engineering, Feng-Chia University, Taichung, Taiwan
Correspondence:
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Corresponding author. Rajeeb Dey, Department of Electrical Engineering, National Institute of Technology Silchar, 788010, India. E-mail: rajeeb.iitkgp@gmail.com.
Abstract: This paper deals with global delay-range-dependent (DRD) stability analysis for Takagi–Sugeno (T–S) fuzzy Hopfield neural network with time-varying delays. First, we proposes a new Lyapunov-Krasovskii functional (LKF) by incorporating the information of activation function, the lower and upper bound of time delay. Further, to achieve the larger delay bound results and approximating the derivatives of LKFs, Wirtinger based inequality (WBI) together with reciprocal convex lemma (RCL) is being utilized. As a result some DRD global stability conditions for the system under consideration with less conservatism are derived in an linear matrix inequality (LMI) framework. Three numerical examples are presented in this work to exhibit the efficacy of the proposed stability criterion over the recent existing results.
