Stability in Switched Cohen‐Grossberg Neural Networks with Mixed Time Delays and Non‐Lipschitz Activation Functions
Huaiqin Wu, Guohua Xu, Chongyang Wu, Ning Li, Kewang Wang, Qiangqiang Guo · Discrete Dynamics in Nature and Society · 2012
The stability for the switched Cohen‐Grossberg neural networks with mixed time delays and α‐inverse Hölder activation functions is investigated under the switching rule with the average dwell time property. By applying multiple Lyapunov‐Krasovskii functional approach and linear matrix inequality (LMI) technique, a delay‐dependent sufficient criterion is achieved to ensure such switched neural networks to be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too. Two illustrative examples are given to demonstrate the validity of the theoretical results.