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arXiv · 1511.03708

On exact controllability of neutral type time-delay systems

R. Rabah·G. M. Sklyar·P. Yu. Barkhayev
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Abstract

The paper is devoted to the problem of global exact controllability for a wide class of neutral and mixed time-delay systems. We consider an equivalent operator model in Hilbert space and formulate steering conditions of controllable states as a vector moment problem. The existence of a basis of eigenvectors of system operator allows to simplify substantially the form of the moment problem. A change of control by a feedback law allows to modify the system structure to guarantee the existence of a basis of eigenvectors of the corresponding operator. We prove a criterion of exact controllability and ascertain the precise critical time of controllability.

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R. Rabah, G. M. Sklyar, P. Yu. Barkhayev. 2015-11-11. On exact controllability of neutral type time-delay systems. https://arxiv.org/abs/1511.03708

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