Titlebook: Controllability of Singularly Perturbed Linear Time Delay Systems; Valery Y. Glizer Book 2021 The Editor(s) (if applicable) and The Author

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Chronische Unterbauchschmerzen der Frau derivatives. This multiplier is a parameter of the singular perturbation. In the system of the second kind, the delays are of two scales. Namely, the delays in the slow state variable are nonsmall (of order of 1), while the delays in the fast state variable are small (of order of .).

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Miscellanies, Based on the asymptotic slow–fast decomposition of the considered system, conditions of its complete Euclidean space controllability, robust with respect to the parameter of singular perturbation, are derived.

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https://doi.org/10.1007/978-3-662-37803-8 biology, medicine, etc. The parameter of singular perturbation also can appear in a mathematical model as a ratio between two values of the same physical (or another) dimension, one of which is considerably smaller than the other.

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Introduction,athematical models for various real-life processes with two-time-scale dynamics. In real-life problems, the small multiplier, called the parameter of singular perturbation, can be a time constant, a mass, a capacitance, a geotropic reaction, and another parameters in physics, chemistry, engineering,

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Euclidean Space Output Controllability of Linear Systems with State Delays, the state variables are considered. In the system of the first kind, the delays are small of order of a small positive multiplier . for a part of its derivatives. This multiplier is a parameter of the singular perturbation. In the system of the second kind, the delays are of two scales. Namely, the

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