Time-optimal boundary control of an infinite order parabolic system with time lags

Adam Kowalewski; Anna Krakowiak

International Journal of Applied Mathematics and Computer Science (2008)

  • Volume: 18, Issue: 2, page 189-198
  • ISSN: 1641-876X

Abstract

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In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.

How to cite

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Adam Kowalewski, and Anna Krakowiak. "Time-optimal boundary control of an infinite order parabolic system with time lags." International Journal of Applied Mathematics and Computer Science 18.2 (2008): 189-198. <http://eudml.org/doc/207876>.

@article{AdamKowalewski2008,
abstract = {In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.},
author = {Adam Kowalewski, Anna Krakowiak},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {time-optimal boundary control; infinite order; parabolic system; time lags},
language = {eng},
number = {2},
pages = {189-198},
title = {Time-optimal boundary control of an infinite order parabolic system with time lags},
url = {http://eudml.org/doc/207876},
volume = {18},
year = {2008},
}

TY - JOUR
AU - Adam Kowalewski
AU - Anna Krakowiak
TI - Time-optimal boundary control of an infinite order parabolic system with time lags
JO - International Journal of Applied Mathematics and Computer Science
PY - 2008
VL - 18
IS - 2
SP - 189
EP - 198
AB - In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.
LA - eng
KW - time-optimal boundary control; infinite order; parabolic system; time lags
UR - http://eudml.org/doc/207876
ER -

References

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  18. Kowalewski, A. and Krakowiak, A. (2000). Time-optimal control of parabolic system with time lags given in the integral form, IMA Journal of Mathematical Control and Information 17(3): 209-225. Zbl0980.49004
  19. Kowalewski, A. and Krakowiak, A. (2006). Time-optimal boundary control of a parabolic system with time lags given in the integral form, International Journal of Applied Mathematics and Computer Science 16(3): 287-295. Zbl1171.49307
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