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Euclidean space controllability of singularly perturbed linear systems with state delay. (English) Zbl 0974.93010
Summary: A singularly perturbed linear time-dependent control system with small point and distributed delays in state variables is considered. Connections between the properties of controllability of the reduced-order and boundary-layer systems, associated with the original one, and such a property of the original system itself are established.

MSC:
93B05 Controllability
93C70 Time-scale analysis and singular perturbations in control/observation systems
93C23 Control/observation systems governed by functional-differential equations
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