Remarks about energy transfer in an RC ladder network

Wojciech Mitkowski

International Journal of Applied Mathematics and Computer Science (2003)

  • Volume: 13, Issue: 2, page 193-198
  • ISSN: 1641-876X

Abstract

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The problem of energy transfer in an -ladder network is considered. Using the maximum principle, an algorithm for constructing optimal control is proposed, where the cost function is the energy delivered to the network. In the case considered, optimal control exists. Numerical simulations were performed using Matlab.

How to cite

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Mitkowski, Wojciech. "Remarks about energy transfer in an RC ladder network." International Journal of Applied Mathematics and Computer Science 13.2 (2003): 193-198. <http://eudml.org/doc/207635>.

@article{Mitkowski2003,
abstract = {The problem of energy transfer in an -ladder network is considered. Using the maximum principle, an algorithm for constructing optimal control is proposed, where the cost function is the energy delivered to the network. In the case considered, optimal control exists. Numerical simulations were performed using Matlab.},
author = {Mitkowski, Wojciech},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {energy transfer; optimal control; approximation of an RC-long line; approximation of an -long line},
language = {eng},
number = {2},
pages = {193-198},
title = {Remarks about energy transfer in an RC ladder network},
url = {http://eudml.org/doc/207635},
volume = {13},
year = {2003},
}

TY - JOUR
AU - Mitkowski, Wojciech
TI - Remarks about energy transfer in an RC ladder network
JO - International Journal of Applied Mathematics and Computer Science
PY - 2003
VL - 13
IS - 2
SP - 193
EP - 198
AB - The problem of energy transfer in an -ladder network is considered. Using the maximum principle, an algorithm for constructing optimal control is proposed, where the cost function is the energy delivered to the network. In the case considered, optimal control exists. Numerical simulations were performed using Matlab.
LA - eng
KW - energy transfer; optimal control; approximation of an RC-long line; approximation of an -long line
UR - http://eudml.org/doc/207635
ER -

References

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  1. Athans M. and Falb P.L. (1969): Optimal Control. An Introduction to the Theory and Its Applications. -Warsaw: WNT, (in Polish); English version published in 1966 by McGraw-Hill, Inc. 
  2. Bryson, Jr., A.E. and Ho, Y.-C. (1972): Applied Optimal Control. Optimization, Estimation and Control. -Moscow: Mir, (in Russian); English version published in 1975 by Hemisphere. 
  3. Butkovskii A.G. (1965): Theory of Optimal Control of Distributed Parameter Systems. - Moscow: Nauka, (in Russian); English version published in 1969by Elsevier. 
  4. Górecki H. (1993): Optimization of Dynamic Systems.- Warsaw: Polish Scientific Publishers, (in Polish). 
  5. Korytowski A. (2001): Private Communication. 
  6. Luenberger D.G. (1974): Optimization by Vector Space Methods.- Warsaw: Polish Scientific Publishers, (in Polish); English version published in 1969by Wiley. 
  7. Mitkowski W. (1994): Synthesis of RC-ladder network.- Bull. Pol. Acad. Sci., Tech. Sci., Vol. 42, No. 1, pp. 33-37. Zbl0817.94027
  8. Mitkowski W. (1997): Analysis of ladder and ring RC-networks.- Bull. Pol. Acad. Sci., Tech. Sci., Vol. 45, No. 3, pp. 445-450. 
  9. Mitkowski W. (2000): Remarks on stability of positive linear systems. - Contr. Cybern., Vol. 29, No. 1, pp. 295-304. Zbl1031.93139
  10. Musielak J. (1976): Introduction to Functional Analysis.- Warsaw: Polish Scientific Publishers, (in Polish). 
  11. Pontryagin L.S., Boltyanskii W.G., Gamkrelidze R.W.and Mishchenko E.F. (1983): The Mathematical Theory of Optimal Processes. - Moscow: Nauka, (in Russian); English version published in 1962 by Interscience. 

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