Journal
NONLINEAR DYNAMICS
Volume 70, Issue 1, Pages 825-839Publisher
SPRINGER
DOI: 10.1007/s11071-012-0499-7
Keywords
Neural networks; Stochastic systems; Time delays; Exponential stability; Dissipativity analysis
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Funding
- National Research Foundation of Korea (NRF)
- Ministry of Education, Science, and Technology [2010-0009373]
- National Creative Research Groups Science Foundation of China [60721062]
- National High Technology Research and Development Program of China 863 Program [2006AA04 Z182]
- National Natural Science Foundation of China [60736021, 61174029]
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This paper is concerned with the dissipativity problem of stochastic neural networks with time delay. A new stochastic integral inequality is first proposed. By utilizing the delay partitioning technique combined with the stochastic integral inequalities, some sufficient conditions ensuring mean-square exponential stability and dissipativity are derived. Some special cases are also considered. All the given results in this paper are not only dependent upon the time delay, but also upon the number of delay partitions. Finally, some numerical examples are provided to illustrate the effectiveness and improvement of the proposed criteria.
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