Controllability of nonstandard singularly perturbed systems with small state delay

@article{Glizer2003ControllabilityON,
  title={Controllability of nonstandard singularly perturbed systems with small state delay},
  author={Valery Y. Glizer},
  journal={IEEE Trans. Automat. Contr.},
  year={2003},
  volume={48},
  pages={1280-1285}
}
A nonstandard singularly perturbed linear time-dependent control system with multiple point and distributed small delays in state variables is considered. Two much simpler parameter-free systems (the reduced-order and the boundary-layer ones), associated with the original system, are introduced. Due to the nonstandard nature of the original system, the reduced-order one is descriptor (differential-algebraic). A connection between the properties of controllability of these systems and such a… CONTINUE READING

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