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Energy decay and control for a system of strings elastically connected in parallel
Author(s) -
Nunes Ruikson S.O.,
Bastos Waldemar D.,
Pitot João Manoel S.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5933
Subject(s) - controllability , mathematics , energy (signal processing) , integrable system , mathematical analysis , boundary value problem , boundary (topology) , wave equation , control theory (sociology) , square integrable function , control (management) , computer science , statistics , artificial intelligence
In the present paper, we study energy decay and exact boundary controllability for a system of n one‐dimensional linear wave equations coupled in parallel. The control obtained is a square integrable of the Neuman type for initial data with finite energy. The controllability time is near optimal value. We treat the case of control in the whole boundary and also in part of it.