2012
DOI: 10.1007/s00521-012-1239-0
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The method of solution of equations with coefficients that contain measurement errors, using artificial neural network

Abstract: This paper presents an algorithm for solving N-equations of N-unknowns. This algorithm allows to determine the solution in a situation where coefficients Ai in equations are burdened with measurement errors. For some values of Ai (where i = 1,…, N), there is no inverse function of input equations. In this case, it is impossible to determine the solution of equations of classical methods.

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Cited by 31 publications
(15 citation statements)
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“…(1) Assuming baseline conditions: (2) and using certain mathematical transformations [31] (including the Laplace transform), the following relationships are obtained:…”
Section: Methods For Implementation Of Access Control Systems' Power mentioning
confidence: 99%
“…(1) Assuming baseline conditions: (2) and using certain mathematical transformations [31] (including the Laplace transform), the following relationships are obtained:…”
Section: Methods For Implementation Of Access Control Systems' Power mentioning
confidence: 99%
“…The transmission line can be described with impedance R + jX. This approach was presented by the authors in the following positions: [8][9][10][11][12][13]. The active power P is absorbed by the receiver (Fig.…”
Section: Transmission Line Sectionmentioning
confidence: 99%
“…The delay in relation to the moment of the detector's activation constitutes information on an instantaneous value of fire parameters (analogue systems);  digital -transmission involves the sequential transmission of encodedaccording to the specified protocol -digital data packages (Fig. 2) [12,13,15]. It is possible to identify the detector or any other element of the system by determining the type and current value of hazard parameters detected by a given type of the detector [4,7,12,13].…”
Section: General Characteristics Of Fire Alarm Systemsmentioning
confidence: 99%
“…Opóźnienie względem momentu aktywacji czujki stanowi informację o chwilowej wartości parametrów pożarowych (systemy analogowe);  cyfrowy -transmisja polega na sekwencyjnym przesyłaniu zakodowanychwedług określonego protokołu -pakietów danych cyfrowych (rys. 2) [12,13,15]. Możliwa jest identyfikacja czujki lub innego elementu systemu poprzez określenie rodzaju oraz aktualnej wartości parametrów zagrożenia wykrywanych przez dany typ czujki [4,7,12,13].…”
Section: Referencesunclassified