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Статья

Exact Controllability of the Distributed System, Governed by String Equation with Memory

Journal of Dynamical and Control Systems. 2013. Vol. 19. No. 4. P. 611-623.
Romanov I., Shamaev A.

We will consider the exact controllability of the distributed system, governed by string equation with memory. It will be proved that this mechanical system can be driven to an equilibrium point in a finite time, the absolute value of the distributed control function being bounded. In this case, the memory kernel is a linear combination of exponentials.