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- W3140695088 abstract "In this chapter, singularly perturbed linear time-dependent controlled systems with multiple point-wise delays and distributed delays in the state and control variables are considered. Two kinds of such systems are analyzed. In the systems of the first kind, the state delays are small of order of a small positive multiplier e for a part of their derivatives. This multiplier is a parameter of the singular perturbation. In the systems of the second kind, the state 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 e). In both kinds of the systems, the control delays are small of order of e. Two types of the considered singularly perturbed systems, standard and nonstandard, are studied. For each type, two much simpler parameter-free subsystems (the slow and fast ones) are associated with the original system. It is established in the chapter that proper kinds of controllability of the slow and fast subsystems yield the complete Euclidean space controllability of the original system robust with respect to the parameter of singular perturbation for all its sufficiently small values." @default.
- W3140695088 created "2021-04-13" @default.
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- W3140695088 date "2020-12-18" @default.
- W3140695088 modified "2023-09-23" @default.
- W3140695088 title "Complete Euclidean Space Controllability of Linear Systems with State and Control Delays" @default.
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- W3140695088 doi "https://doi.org/10.1007/978-3-030-65951-6_4" @default.
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