In this paper, the minimum time problem for differential systems of parabolic type with distributed control and control - state constraints are considered. The minimum time problem is replaced by an equivalent one with fixed time and the necessary optimality conditions of time-optimal control are obtained by using the generalized Dubovitskii-Milyutin Theorem (see [1]).
| Published in | Mathematical Modelling and Applications (Volume 1, Issue 1) |
| DOI | 10.11648/j.mma.20160101.11 |
| Page(s) | 1-7 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Time-Optimal Control Problem, Parabolic System, Dubovitskii - Milyutin Method, Canonical Approximations, Optimality Conditions
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APA Style
Mohammed Shehata. (2016). Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints. Mathematical Modelling and Applications, 1(1), 1-7. https://doi.org/10.11648/j.mma.20160101.11
ACS Style
Mohammed Shehata. Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints. Math. Model. Appl. 2016, 1(1), 1-7. doi: 10.11648/j.mma.20160101.11
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Download@article{10.11648/j.mma.20160101.11,
author = {Mohammed Shehata},
title = {Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints},
journal = {Mathematical Modelling and Applications},
volume = {1},
number = {1},
pages = {1-7},
doi = {10.11648/j.mma.20160101.11},
url = {https://doi.org/10.11648/j.mma.20160101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20160101.11},
abstract = {In this paper, the minimum time problem for differential systems of parabolic type with distributed control and control - state constraints are considered. The minimum time problem is replaced by an equivalent one with fixed time and the necessary optimality conditions of time-optimal control are obtained by using the generalized Dubovitskii-Milyutin Theorem (see [1]).},
year = {2016}
}
TY - JOUR T1 - Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints AU - Mohammed Shehata Y1 - 2016/10/12 PY - 2016 N1 - https://doi.org/10.11648/j.mma.20160101.11 DO - 10.11648/j.mma.20160101.11 T2 - Mathematical Modelling and Applications JF - Mathematical Modelling and Applications JO - Mathematical Modelling and Applications SP - 1 EP - 7 PB - Science Publishing Group SN - 2575-1794 UR - https://doi.org/10.11648/j.mma.20160101.11 AB - In this paper, the minimum time problem for differential systems of parabolic type with distributed control and control - state constraints are considered. The minimum time problem is replaced by an equivalent one with fixed time and the necessary optimality conditions of time-optimal control are obtained by using the generalized Dubovitskii-Milyutin Theorem (see [1]). VL - 1 IS - 1 ER -
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