Further Stability Analysis of Generalized Neural Networks With Time-Varying Delays Based on A Novel Lyapunov-Krasovskii Functional

Bin Yang, Junjun Cao, Mengnan Hao, xuejun pan
2019 IEEE Access  
This paper focuses on the stability analysis of generalized neural networks with time-varying delays. First, a novel augmented Lyapunov-Krasovskii functional (LKF) is constructed by introducing a couple of integral vectors. Second, by utilizing the novel augmented LKF and a generalized free-weightingmatrix integral inequality, two further stability criteria are presented in this paper. Third, a less conservative stability condition by refining the allowable delay set is introduced. Finally, the
more » ... four well-known numerical examples are given to demonstrate the effectiveness and improvements of the proposed methods. INDEX TERMS Generalized neural networks, Lyapunov-Krasovskii functional, stability, time-varying delays.
doi:10.1109/access.2019.2925912 fatcat:5ttgmz5vjbhflnzgfxrlblxsju