4.7 Article

Further results on dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties

Journal

NONLINEAR DYNAMICS
Volume 79, Issue 1, Pages 83-91

Publisher

SPRINGER
DOI: 10.1007/s11071-014-1646-0

Keywords

Neural networks; Time delay; Randomly occurring uncertainties; Dissipativity

Funding

  1. National Natural Science Foundation of China [61304064, 61273157]
  2. Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education, Science and Technology [2013R1A1A2A10005201]
  3. National Research Foundation of Korea [22A20130000136, 2013R1A1A2A10005201] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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In this paper, the problem of robust dissipativity is investigated for neural networks with both time-varying delay and randomly occurring uncertainties. The randomly occurring uncertainties are assumed to obey mutually uncorrelated Bernoulli-distributed white noise sequences. By constructing a new Lyapunov-Krasovskii functional, some improved delay-dependent dissipativity conditions are derived based on two integral inequalities, which are formulated in terms of linear matrix inequality. Furthermore, some information of activation function ignored in previous works has been taken into account in the resulting condition. The effectiveness and the improvement of the proposed approach are demonstrated by two illustrating numerical examples.

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