Relaxed Stability Criteria for Delayed Generalized Neural Networks via a Novel Reciprocally Convex Combination
Yibo Wang, Changchun Hua, PooGyeon Park · IEEE/CAA Journal of Automatica Sinica · 2022
Dear Editor, This letter examines the stability issue of generalized neural networks (GNNs) with time-varying delay based on a novel reciprocally convex combination (RCC). By considering a new matrix polynomial, the proposed novel reciprocally convex method leads to a tight bound for integral inequality combination and encompasses several existing approaches as special cases. The relaxed stability conditions with less conservatism are developed by employing the proposed reciprocally convex combination and the Lyapunov-Krasovskii (L-K) functional. Finally, several numerical examples are conducted to show the superiorities of the stability conditions.