Euclidean space controllability of singularly perturbed linear systems with state delay.

*(English)*Zbl 0974.93010Summary: 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 |

##### Keywords:

control system with state delay; singularly perturbed system; reduced-order system; boundary-layer system; Euclidean space controllability
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\textit{V. Y. Glizer}, Syst. Control Lett. 43, No. 3, 181--191 (2001; Zbl 0974.93010)

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##### References:

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