Time-optimal control of infinite order hyperbolic systems with time delays

Adam Kowalewski

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 4, page 597-608
  • ISSN: 1641-876X

Abstract

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In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.

How to cite

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Adam Kowalewski. "Time-optimal control of infinite order hyperbolic systems with time delays." International Journal of Applied Mathematics and Computer Science 19.4 (2009): 597-608. <http://eudml.org/doc/207958>.

@article{AdamKowalewski2009,
abstract = {In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.},
author = {Adam Kowalewski},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {time-optimal control; infinite order; hyperbolic systems; time delays},
language = {eng},
number = {4},
pages = {597-608},
title = {Time-optimal control of infinite order hyperbolic systems with time delays},
url = {http://eudml.org/doc/207958},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Adam Kowalewski
TI - Time-optimal control of infinite order hyperbolic systems with time delays
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 4
SP - 597
EP - 608
AB - In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
LA - eng
KW - time-optimal control; infinite order; hyperbolic systems; time delays
UR - http://eudml.org/doc/207958
ER -

References

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  14. Kowalewski, A. (2000). Optimal control of distributed hyperbolic systems with deviating arguments, International Journal of Control 73: 1026-1041. Zbl1003.49021
  15. Kowalewski, A. (2003). Time-optimal control problem of hyperbolic systems with deviating arguments, International Journal of Control 76: 557-565. Zbl1114.93053
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