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New results on passivity analysis of uncertain neural networks with time-varying delays. (English) Zbl 1186.68392
Summary: The passivity problem is investigated for a class of uncertain neural networks with generalized activation functions. By employing an appropriate Lyapunov-Krasovskii functional, a new delay-dependent criterion for the passivity of the addressed neural networks is established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. An example is given to show the effectiveness and less conservatism of the proposed criterion. It is noteworthy that the traditional assumptions on the differentiability of the time-varying delays and the boundedness of its derivative are removed.

MSC:
68T05 Learning and adaptive systems in artificial intelligence
15A06 Linear equations (linear algebraic aspects)
15A39 Linear inequalities of matrices
37Fxx Dynamical systems over complex numbers
37Nxx Applications of dynamical systems
Software:
LMI toolbox; Matlab
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