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A flexible memristive model with simplex basis function
Author(s) -
Yu Juntang,
Xi Xiangming,
Wang Shuning
Publication year - 2016
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2183
Subject(s) - piecewise , basis (linear algebra) , simplex , basis function , function (biology) , flexibility (engineering) , state variable , variable (mathematics) , limit (mathematics) , range (aeronautics) , computer science , piecewise linear function , simplex algorithm , mathematical optimization , mathematics , algorithm , linear programming , mathematical analysis , physics , engineering , geometry , statistics , evolutionary biology , biology , aerospace engineering , thermodynamics
Summary In this paper, we propose a flexible memristive model with simplex basis function. In the memristive model, a piecewise window function is applied to limit the physical range of the state variable, and a piecewise linear model (called simplex basis function model) is applied to describe the integral function of the current and charge. The expression of the state variable and the memristance can be almost analytically obtained. Thus, some serious errors occurring in the simulations of some existing memristive models can be avoided. The proposed memristive model shows great flexibility due to the good approximation capability of the simplex basis function model. Copyright © 2016 John Wiley & Sons, Ltd.