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A new exponentially fitted triangular finite element method for the continuity equations in the drift-diffusion model of semiconductor devices

Song Wang — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we present a novel exponentially fitted finite element method with triangular elements for the decoupled continuity equations in the drift-diffusion model of semiconductor devices. The continuous problem is first formulated as a variational problem using a weighted inner product. A Bubnov-Galerkin finite element method with a set of piecewise exponential basis functions is then proposed. The method is shown to be stable and can be regarded as an extension to two dimensions of the...

Relaxed stability conditions for interval type-2 fuzzy-model-based control systems

Tao ZhaoJian XiaoJialin DingXuesong DengSong Wang — 2014

Kybernetika

This paper proposes new stability conditions for interval type-2 fuzzy-model-based (FMB) control systems. The type-1 T-S fuzzy model has been widely studied because it can represent a wide class of nonlinear systems. Many favorable results for type-1 T-S fuzzy model have been reported. However, most of conclusions for type-1 T-S fuzzy model can not be applied to nonlinear systems subject to parameter uncertainties. In fact, Most of the practical applications are subject to parameters uncertainties....

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