Remarks about energy transfer in an RC ladder network
Mitkowski, Wojciech
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003), p. 193-198 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:207635
@article{bwmeta1.element.bwnjournal-article-amcv13i2p193bwm,
     author = {Mitkowski, Wojciech},
     title = {Remarks about energy transfer in an RC ladder network},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {13},
     year = {2003},
     pages = {193-198},
     zbl = {1047.94515},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv13i2p193bwm}
}
Mitkowski, Wojciech. Remarks about energy transfer in an RC ladder network. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) pp. 193-198. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv13i2p193bwm/

[000] 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.

[001] 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.

[002] Butkovskii A.G. (1965): Theory of Optimal Control of Distributed Parameter Systems. - Moscow: Nauka, (in Russian); English version published in 1969by Elsevier.

[003] Górecki H. (1993): Optimization of Dynamic Systems.- Warsaw: Polish Scientific Publishers, (in Polish).

[004] Korytowski A. (2001): Private Communication.

[005] Luenberger D.G. (1974): Optimization by Vector Space Methods.- Warsaw: Polish Scientific Publishers, (in Polish); English version published in 1969by Wiley.

[006] Mitkowski W. (1994): Synthesis of RC-ladder network.- Bull. Pol. Acad. Sci., Tech. Sci., Vol. 42, No. 1, pp. 33-37. | Zbl 0817.94027

[007] Mitkowski W. (1997): Analysis of ladder and ring RC-networks.- Bull. Pol. Acad. Sci., Tech. Sci., Vol. 45, No. 3, pp. 445-450.

[008] Mitkowski W. (2000): Remarks on stability of positive linear systems. - Contr. Cybern., Vol. 29, No. 1, pp. 295-304. | Zbl 1031.93139

[009] Musielak J. (1976): Introduction to Functional Analysis.- Warsaw: Polish Scientific Publishers, (in Polish).

[010] 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.