New Delay-Dependent Exponential H-infinity Synchronization for Uncertain Neural Networks With Mixed Time Delays

作者：Karimi Hamid Reza^*; Gao Huijun

来源：IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics , 2010, 40(1): 173-185.

DOI：10.1109/TSMCB.2009.2024408

• H-infinity performance
• linear matrix inequality (LMI)
• neural networks (NNs)
• synchronization
• time delay
• uncertainties

This paper establishes an exponential H-infinity synchronization method for a class of uncertain master and slave neural networks (MSNNs) with mixed time delays, where the mixed delays comprise different neutral, discrete, and distributed time delays. The polytopic and the norm-bounded uncertainties are separately taken into consideration. An appropriate discretized Lyapunov-Krasovskii functional and some free-weighting matrices are utilized to establish some delay-dependent sufficient conditions for designing delayed state-feedback control as a synchronization law in terms of linear matrix inequalities under less restrictive conditions. The controller guarantees the exponential H-infinity synchronization of the two coupled MSNNs regardless of their initial states. Detailed comparisons with existing results are made, and numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws.

• 出版日期2010-2
• 单位哈尔滨工业大学