Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval.
In: Differential Equations, Jg. 43 (2007-11-01), Heft 11, S. 1569-1584
Online
academicJournal
Zugriff:
The article modifies the method developed in the vibration process for an arbitrarily given initial state and terminal state. The modified method permits one to compute optimal boundary controls by displacements at two ends x=0 and x=1 of a string whose vibrations are described by a generalized solution of the wave equation, utt(x,t)-uxx(x,t)=0. Moreover, the analysis is performed in terms of a generalized solution u(x,t) of the mixed problem for the wave equation.
Titel: |
Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval.
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Autor/in / Beteiligte Person: | Il'in, V. ; Moiseev, E. |
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Zeitschrift: | Differential Equations, Jg. 43 (2007-11-01), Heft 11, S. 1569-1584 |
Veröffentlichung: | 2007 |
Medientyp: | academicJournal |
ISSN: | 0012-2661 (print) |
DOI: | 10.1134/S0012266107110122 |
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