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Less Conservative Stability Criteria for a Class of Nonlinear Stochastic Hopfield Neural Networks with Time-varying Delays |
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PP: 131-137 |
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Author(s) |
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Tieyan Zhang,
Yan Zhao,
Xiangpeng Xie,
Meng Dong,
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Abstract |
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| In this paper, the problem of stability analysis of nonlinear stochastic Hopfield neural networks(FHNNs) with time-varying
delays is investigated by using the Takagi-Sugeno(T-S) approach. Combined with both the fuzzy relaxed technique and an improved
free-weighting matrix approach with weighting-dependent Lagrange multipliers, less conservative stability criteria is proposed via the
Lyapunov-Krasovskii functional approach. Furthermore, related algebraic properties of the fuzzy membership functions in the unit
simplex are considered in the process of stability analysis and the obtained stability criteria is in terms of Linear matrix inequalities.
Finally, an illustrative example shows less conservatism of the proposed approaches. |
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