TY - JOUR
T1 - Time-Delayed Feedback Control of a Hydraulic Model Governed by a Diffusive Wave System
AU - Chentouf, Boumediène
AU - Smaoui, Nejib
N1 - Publisher Copyright:
© 2020 Boumediène Chentouf and Nejib Smaoui.
PY - 2020
Y1 - 2020
N2 - This paper is concerned with the feedback flow control of an open-channel hydraulic system modeled by a diffusive wave equation with delay. Firstly, we put forward a feedback flow control subject to the action of a constant time delay. Thereafter, we invoke semigroup theory to substantiate that the closed-loop system has a unique solution in an energy space. Subsequently, we deal with the eigenvalue problem of the system. More importantly, exponential decay of solutions of the closed-loop system is derived provided that the feedback gain of the control is bounded. Finally, the theoretical findings are validated via a set of numerical results.
AB - This paper is concerned with the feedback flow control of an open-channel hydraulic system modeled by a diffusive wave equation with delay. Firstly, we put forward a feedback flow control subject to the action of a constant time delay. Thereafter, we invoke semigroup theory to substantiate that the closed-loop system has a unique solution in an energy space. Subsequently, we deal with the eigenvalue problem of the system. More importantly, exponential decay of solutions of the closed-loop system is derived provided that the feedback gain of the control is bounded. Finally, the theoretical findings are validated via a set of numerical results.
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U2 - 10.1155/2020/4986026
DO - 10.1155/2020/4986026
M3 - Article
AN - SCOPUS:85082760679
SN - 1076-2787
VL - 2020
JO - Complexity
JF - Complexity
M1 - 4986026
ER -