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Lagrange stability analysis for complex-valued neural networks with leakage delay and mixed time-varying delays

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This paper discusses the stability in Lagrange sense for complex-valued neural networks with time-varying discrete delays and distributed delays as well as leakage delay. By constructing an appropriate LyapunovKrasovskii functional,… Click to show full abstract

This paper discusses the stability in Lagrange sense for complex-valued neural networks with time-varying discrete delays and distributed delays as well as leakage delay. By constructing an appropriate LyapunovKrasovskii functional, and employing free-weighting-matrix approach and inequality techniques in matrix form, a sufficient criterion to guarantee global exponential stability in Lagrange sense is obtained for the investigated neural networks. The given criterion is delay-dependent and is shown as linear matrix inequalities in complex domain, which can be calculated numerically applying valid YALMIP toolbox in MATLAB. A numerical example is provided to manifest the validity of the proposed result.

Keywords: valued neural; neural networks; time varying; complex valued; leakage delay

Journal Title: Neurocomputing
Year Published: 2017

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