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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2018

07.03.2017 | Original Research

Euclidean space output controllability of singularly perturbed systems with small state delays

verfasst von: Valery Y. Glizer

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2018

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Abstract

A singularly perturbed linear time-dependent controlled system with multiple pointwise and distributed delays in the state variables is considered. The state delays are small of order of the small positive multiplier for a part of the derivatives in the system, which is a parameter of the singular perturbation. Along with the dynamic system, a linear algebraic delay-free output equation is considered. Two much simpler parameter-free subsystems (the slow and fast ones) are associated with the original system. It is established that proper kinds of controllability of the slow and fast subsystems yield the Euclidean space output controllability of the original system robust with respect to the parameter of singular perturbation for all its sufficiently small values. Illustrative examples are presented.
Nächster Artikel An indirect Lyapunov approach to robust stabilization for a class of linear fractional-order system with positive real uncertainty

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Metadaten
Titel
Euclidean space output controllability of singularly perturbed systems with small state delays
verfasst von
Valery Y. Glizer
Publikationsdatum
07.03.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2018
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-017-1092-5

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