Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS
Volume 22, Issue 10, Pages 1662-1668Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNN.2011.2163319
Keywords
Delay; generalized Finsler lemma; L-2 performance; neural networks; stochastic noise
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Funding
- National Basic Research Program of China, (Program 973) [2009CB320602]
- National Natural Science Foundation of China (NSF) [60974006, 60974138]
- Zhejiang Provincial NSF [Y1090465]
- Australian Research Council
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This brief focuses on the robust mean-square exponential stability and L-2 performance analysis for a class of uncertain time-delay neural networks perturbed by both additive and multiplicative stochastic noises. New mean-square exponential stability and L-2 performance criteria are developed based on the delay partition Lyapunov-Krasovskii functional method and generalized Finsler lemma which is applicable to stochastic systems. The analytical results are established without involving any model transformation, estimation for cross terms, additional free-weighting matrices, or tuning parameters. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing ones.
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