Gugat M (2022)
Publication Language: English
Publication Type: Journal article, Online publication
Publication year: 2022
Book Volume: 24
Pages Range: 179-186
Journal Issue: 74
URI: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/10.pdf
Open Access Link: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/10.pdf
Dedicated to Marius Tucsnak on the occasion of his 60th anniversary
OPTIMAL BOUNDARY CONTROL OF THE WAVE EQUATION:
THE FINITE-TIME TURNPIKE PHENOMENON
MARTIN GUGAT
Communicated by Nicolae Cˆındea
It is well-known that vibrating strings can be steered to a position of rest in
finite time by suitably defined boundary control functions, if the time horizon is
sufficiently long. In optimal control problems, the desired terminal state is often
enforced by terminal conditions, that add an additional difficulty to the optimal
control problem. In this paper we present an optimal control problem for the
wave equation with a time-dependent weight in the objective function such that
for a sufficiently long time horizon, the optimal state reaches a position of rest in
finite time without prescribing a terminal constraint. This situation can be seen
as a realization of the finite-time turnpike phenomenon that has been studied
recently.
APA:
Gugat, M. (2022). Optimal boundary control of the wave equation: the finite-time turnpike phenomenon. Mathematical Reports, 24(74), 179-186.
MLA:
Gugat, Martin. "Optimal boundary control of the wave equation: the finite-time turnpike phenomenon." Mathematical Reports 24.74 (2022): 179-186.
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