A New Telegrapher's-Poisson System in Semiconductor Theory: A Singular Perturbation Approach

Singular Perturbation Theory in Output Feedback Control of Pure-Feedback Systems

This paper studies output feedback control of pure-feedback systems with immeasurable states and completely non-affine property. Since availability of all the states is usually impossible in the actual process, we assume that just the system output is measurable and the system states are not available. First, to estimate the immeasurable states a state observer is designed. Relatively fewer res...

A new Approach to the Multi-Objective Control of Linear Singular Perturbation Systems

Poisson-Nernst-Planck Systems for Ion Channels with Permanent Charges

Ionic channels and semiconductor devices use atomic scale structures to control macroscopic flows from one reservoir to another. The onedimensional steady-state Poisson-Nernst-Planck (PNP) system is a useful representation of these devices but experience shows that describing the reservoirs as boundary conditions is difficult. We study the PNP system for two types of ions with three regions of ...

A Poisson-nernst-planck Model for Biological Ion Channels — an Asymptotic Analysis in a 3-d Narrow Funnel

We wish to predict ionic currents that flow through narrow protein channels of biological membranes in response to applied potential and concentration differences across the channel, when some features of channel structure are known. We propose to apply singular perturbation analysis to the coupled Poisson-Nernst-Planck equations, which are the basic continuum model of ionic permeation and semi...

M ar 2 00 8 A singular perturbation approach to the steady - state 1 D Poisson - Nernst - Planck modeling

The reduced 1D Poisson-Nernst-Planck (PNP) model of artificial nanopores in the presence of a permanent charge on the channel wall is studied. More specifically, we consider the limit where the channel length exceed much the Debye screening length and channel’s charge is sufficiently small. Ion transport is described by the nonequillibrium steady-state solution of the PNP system within a singul...