Improved delay-dependent stability criterion of generalized neural networked with interval time-varying delays

Shenping Xiao, Hong‐Hai Lian, Hong‐Bing Zeng, Gang Chen, Lin‐Xing Xu · 2016

In this paper, we focus on deriving a less conservative stability criterion for generalized neural networked (GNN) with interval time-varying delays. Firstly, a new augmented Lyapunov-Krasovskii functional (ALKF) with triple-integral terms is chosen to reduce the conservatism of stability criteria. In addition, by fully utilizing the integral inequality presented recently and combining the reciprocally convex approach, a improved delay-dependent stability condition is established in terms of LMI. Finally, two numerical examples are provided to verify the advantages of the presented criteria.

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