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Energy decay and control for a system of strings elastically connected in parallel

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Abstract

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.

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coupled systems, exact controllability, linear Klein-Gordon equation, local energy decay

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English

Citation

Mathematical Methods in the Applied Sciences, v. 43, n. 3, p. 1230-1242, 2020.

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