Global Exponential Stability in Lagrange Sense for Delayed Memristive Neural Networks with Parameter Uncertainties |
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| Authors: | Liangchen Li Rui Xu and Jiazhe Lin |
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| Affiliation: | Institute of Applied Mathematics, Army Engineering University, Shijiazhuang, Hebei 050003, China,Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi
030006, China and Institute of Applied Mathematics, Army Engineering University, Shijiazhuang, Hebei 050003, China |
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| Abstract: | This paper addresses the Lagrange stability of memristive neural
networks with leakage delay and time-varying transmission delays as well as parameter uncertainties. Based on the theory of Filippov''s solution, by using Lyapunov-Krasovskii functionals and the free-weighting matrix method,
sufficient conditions in terms of linear matrix inequality (LMI) are given to ascertain the networks with different kinds of activation functions to be stable in Lagrange sense. Meanwhile the estimation of globally attractive sets are
given. Finally, numerical simulations are carried out to illustrate the effectiveness of theoretical results. |
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| Keywords: | Memristive neural networks Lagrange stability Leakage delay Uncertain parameters |
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