We consider the distributed control problem for the wave equation with memory, where the kernel is the sum of decreasing exponential functions and the control is bounded in modulus. We prove that the oscillations of the system can be brought to the state of rest in a finite time.
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Translated from Problemy Matematicheskogo Analiza 115, 2022, pp. 111-125.
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Romanov, I.V., Shamaev, A.S. Exact Control of a Distributed System Described by the Wave Equation with Integral Memory. J Math Sci 262, 358–373 (2022). https://doi.org/10.1007/s10958-022-05821-z
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DOI: https://doi.org/10.1007/s10958-022-05821-z