On the basis of establishing a new integral inequality composed of a set of adjustable slack matrix variables, this paper mainly focuses on further improved stability criteria for a class of generalized neural networks (GNNs) with time-varying delay by delay-partitioning approach. A newly augmented Lyapunov–Krasovskii functional (LKF) containing triple-integral terms is constructed by decomposing integral interval. The new integral inequality together with Peng–Park׳s integral inequality and Free-Matrix-based integral inequality (FMII) is adopted to effectively reduce the enlargement in bounding the derivative of LKF. Therefore, less conservative results can be expected in terms of  e   s   and LMIs. Finally, two numerical examples are included to show that the proposed method is less conservative than existing ones.
['Zhi-Wen Chen', 'Jun Yang', 'Shouming Zhong']
Delay-partitioning approach to stability analysis of generalized neural networks with time-varying delay via new integral inequality ☆