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  • Příspěvek prezentuje čtyři metody jak stanovit derivaci exponenciální funkce matice v jazyku Matlab. Potřeba takového výpočtu se objevuje v mnoha oblastech modelování a simulace. V oblasti elektrotechniky může být využit pro citlivostní analýzu obvodů s rozprostřenými parametry, jako obvodů obsahujících vícevodičová přenosová vedení. V příspěvku bude studována metoda založená na rozvoji exponenciální funkce matice do Taylorovy řady, na zpracování rozšířené matice, na rozkladu vedoucímu na výpočet vlastních čísel a konečně metoda založená na Padého aproximaci. Všechny metody byly naprogramovány v jazyku Matlab, využívaje přitom s výhodou některých zabudovaných maticově orientovaných funkcí. (cs)
  • The paper presents four methods how to determine a derivative of the matrix exponential function in Matlab language. The necessity for such the computation appears at many cases of modelling and simulation problems. In the field of the electrical engineering it can be utilized for the sensitivity analysis of circuits with distributed parameters, like those containing multiconductor transmission lines. The methods based on the matrix exponential function Taylor series expansion, augmented matrix utilization, eigenvalues decomposition and the Padé approximation will be elaborated in this paper. All techniques have been programmed in the Matlab language environment while utilizing some built-in matrix-oriented functions with advantages.
  • The paper presents four methods how to determine a derivative of the matrix exponential function in Matlab language. The necessity for such the computation appears at many cases of modelling and simulation problems. In the field of the electrical engineering it can be utilized for the sensitivity analysis of circuits with distributed parameters, like those containing multiconductor transmission lines. The methods based on the matrix exponential function Taylor series expansion, augmented matrix utilization, eigenvalues decomposition and the Padé approximation will be elaborated in this paper. All techniques have been programmed in the Matlab language environment while utilizing some built-in matrix-oriented functions with advantages. (en)
Title
  • Techniques of matrix exponential function derivative for electrical engineering simulations
  • Způsoby výpočtu derivace exponenciální funkce matice pro simulace v elektrotechnice (cs)
  • Techniques of matrix exponential function derivative for electrical engineering simulations (en)
skos:prefLabel
  • Techniques of matrix exponential function derivative for electrical engineering simulations
  • Způsoby výpočtu derivace exponenciální funkce matice pro simulace v elektrotechnice (cs)
  • Techniques of matrix exponential function derivative for electrical engineering simulations (en)
skos:notation
  • RIV/00216305:26220/06:PU62407!RIV07-MSM-26220___
http://linked.open.../vavai/riv/strany
  • 2608-2613
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021630503), Z(MSM0021630513)
http://linked.open...vai/riv/dodaniDat
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  • 503127
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26220/06:PU62407
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • matrix exponential function, derivative, Taylor series expansion, augmented matrix, eigenvalue, eigenvector, Padé approximation, Matlab (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [5CCF1349498F]
http://linked.open...v/mistoKonaniAkce
  • Mumbai
http://linked.open...i/riv/mistoVydani
  • Mumbai
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  • IEEE International Conference on Industrial Technology
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
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  • Brančík, Lubomír
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • IEEE IES
https://schema.org/isbn
  • 1-4244-0726-5
http://localhost/t...ganizacniJednotka
  • 26220
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