Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 22, Issue -, Pages 262-275Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2016.05.002
Keywords
Passivity analysis; Stochastic neural network; Markovian jumping parameters; Leakage delay; Linear matrix inequality
Categories
Funding
- National Natural Science Foundation of China [61374080]
- Alexander von Humboldt Foundation of Germany [CHN/1163390]
- Qing Lan Project of Jiangsu
- Priority Academic Program Development of Jiangsu Higher Education Institutions
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In this paper, the problem of passivity analysis is investigated for a class of stochastic neural networks with Markovian jumping parameters and time delay in the leakage term. The discrete delay is assumed to be time-varying and belongs to,a given interval, which means that the lower and upper bounds of interval time-varying delays are available. By constructing appropriate Lyapunov-Krasovskii functionals, and employing Newton-Leibniz formulation and the free weighting matrix method, several delay-dependent criteria for checking the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. Two examples are given to show the effectiveness and less conservatism of the proposed criteria. (C) 2016 Elsevier Ltd. All rights reserved.
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