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Pencil characteristic coefficients and their applications in control

IEE Proceedings - Control Theory and Applications, 1999
The characteristic coefficients of a square pencil are obtained. The coefficients can be given analytically. However, for practical purposes they are normally obtained numerically and in a recursive manner. Their applications in control are illustrated.
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Coefficient Control in a Linear Second Order Ordinary Differential Equation

Zeitschrift für Analysis und ihre Anwendungen, 1985
In this paper we deal with a control problem whose behaviour is described by the solution of a linear boundary value problem of a second order ordinary differential equation. The coefficient of the first derivative in the state equation is assumed to be the control. We prove the existence of optimal control and discuss its uniqueness.
Goebel, M., Begashaw, Negash
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Optimal control problem for a quasilinear elliptic equation with controls in coefficients

Differential Equations, 2017
The paper under review deals with the optimal control problem described by the following mixed boundary value problem for a quasilinear equation of the elliptic type \[ \begin{cases} -\sum_{i=1}^2 \big(k(x)u_{x_i}\big)_{x_i} + q(x)a(u)+b(x,u)=f(x), &\;x\in\Omega,\\ -k(x)u_{x_1}+p(x)u=g(x), &\;x\in \Gamma_{-1},\\ u(x)=0, &\;x\in \partial\Omega\setminus \
Tagiev, R. K., Kasymova, R. S.
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Frequency-dependent rate coefficient in diffusion-controlled reactions

The Journal of Chemical Physics, 1977
Diffusion-controlled reactions between particles and a nondilute system of sinks are studied. It is shown that in time-dependent situations it is necessary to take account of retardation effects in the building-up of correlations between competing sinks. The retardation leads to a frequency dependence of the rate coefficient.
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Optimal Control by Coefficients in Elliptic Systems

2000
Almost all this chapter is concerned with problems of control by coefficients in elliptic systems defined on a bounded domain ft Ω ⊂ ℝ2. Nevertheless, the technique developed is easily transferred to the case of Ω ⊂ ℝn where n > 2. One has just to raise either the smoothness index or the degree of integrabihty of elements of a Sobolev space which ...
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Control Coefficients in Cellular Cation Homeostasis: A Model Analysis

1993
The electrical component of the electrochemical gradients across cell membranes is the membrane potential V m. Electrophysiologically it is defined as the potential in a cell with respect to the surrounding medium; more often then not it is defined experimentally as the change in potential measured with a microelectrode on impaling a cell.
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Optimal Control of Coefficients in Linear Elliptic Equations I. Existence of Optimal Controls

Mathematische Operationsforschung und Statistik. Series Optimization, 1981
In the paper the problem of existence of optimal control is considered for a control problem with a linear elliptic equation whose coefficients depend on the control.
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On optimal control by coefficients in an elliptic equation

Differential Equations, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A strategy for coefficient quantization in digital control algorithms

Computers & Electrical Engineering, 1974
Abstract A strategy for quantizing the coefficients in a general second order digital control algorithm is presented. First, the errors in the magnitude and phase functions for the algorithm are derived in terms of the filter coefficients. By specifying a maximum allowable error for each function over a given frequency range, quantization regions can
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Cervical cancer prevention and control in women living with human immunodeficiency virus

Ca-A Cancer Journal for Clinicians, 2021
Philip E Castle, Vikrant V Sahasrabuddhe
exaly  

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