Stability, stabilizability and exact controllability of a class of linear neutral type systems

Mathematics – Optimization and Control

Scientific paper

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Conf\'erence pl\'eni\`ere

Scientific paper

Linear systems of neutral type are considered using the infinite dimensional
approach. The main problems are asymptotic, non-exponential stability, exact
controllability and regular asymptotic stabilizability. The main tools are the
moment problem approach, the Riesz basis of invariant subspaces and the Riesz
basis of family of exponentials.

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