scholarly journals Estimation of Velocity of a Frictionless Motion of a Truck on an Infinitely Long Straight Rail

2021 ◽  
Vol 4 (1) ◽  
pp. 78-82
Author(s):  
P Ogwola ◽  
MB Sullayman
Keyword(s):  
Difference Equation ◽  
Dynamic Model ◽  
Kalman Filtering ◽  
Computer Programme ◽  
Order Difference ◽  
First Order ◽  
Discrete Dynamic ◽  
Discrete Dynamic Model ◽  
Order Difference Equation ◽  
Filtering Technique

This paper is concerned with estimation of velocity of a frictionless motion of a truck on an infinitely long straight rail. For simplicity assume that the Truck is controlled only by the throttle producing an accelerative force per unit mass. A discrete dynamic model of first order difference equation is to describe the system. Kalman filtering technique is applied to the discrete dynamic model to estimate the velocity of the Truck at any particular time. A computer programme is developed to simulate the system

ESTIMATION OF INTERIOR TEMPERATURE OF AN ELECTRIC OVEN

2021 ◽  
Vol 5 (2) ◽  
pp. 1-6
Author(s):  
Peter Ogwola ◽  
Muhammad Bello Sullayman
Keyword(s):  
Dynamic Model ◽  
Kalman Filtering ◽  
Order Difference ◽  
First Order ◽  
Discrete Dynamic ◽  
Proportionality Constant ◽  
Discrete Dynamic Model ◽  
Electric Oven ◽  
Order Difference Equation ◽  
Filtering Technique

This paper is aimed at estimating interior temperature of an electric oven with respect to the jacket temperature. A discrete dynamic model of first order difference equation is described for the system. Kalman filtering technique is applied to the discrete dynamic model for estimation of the interior temperature. A computer program is written to simulate the system. It was observed that the estimates of the interior temperatures are directly proportional to estimates of the Jacket temperatures with proportionality constant of 0.0009. With this method it is therefore possible to obtain the interior temperature of the electric oven at any given time.

AN OSCILLATION CRITERION FOR FIRST ORDER DIFFERENCE EQUATION

2020 ◽  
Vol 33 (01) ◽  
Author(s):  
Thaniyarasu Kumar ◽  
◽  
Govindasamy Ayyappan ◽  
Keyword(s):  
Difference Equation ◽  
Oscillation Criterion ◽  
Order Difference ◽  
First Order ◽  
Order Difference Equation

scholarly journals DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT

2004 ◽  
Vol 15 (09) ◽  
pp. 959-965 ◽  
Author(s):  
KAZUHIRO HIKAMI
Keyword(s):  
Difference Equation ◽  
Jones Polynomial ◽  
Order Difference ◽  
Colored Jones Polynomial ◽  
First Order ◽  
Torus Knot ◽  
Second Order Difference Equation ◽  
Order Difference Equation ◽  
Hypergeometric Type ◽  
The Difference

We prove that the N-colored Jones polynomial for the torus knot [Formula: see text] satisfies the second order difference equation, which reduces to the first order difference equation for a case of [Formula: see text]. We show that the A-polynomial of the torus knot can be derived from the difference equation. Also constructed is a q-hypergeometric type expression of the colored Jones polynomial for [Formula: see text].

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