A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays

Valery Y. Glizer; Yuri Feigin; Emilia Fridman; Michael Margaliot

doi:10.1109/CDC.2014.7039422

A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays

Valery Y. Glizer
, Yuri Feigin
, Emilia Fridman
, Michael Margaliot

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A linear time-invariant singularly perturbed system with point-wise and distributed small time delays is considered. A direct approach to exact slow-fast decomposition of this system is proposed. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem. Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using in various engineering applications. An illustrative example is presented.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Pages	451-456
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039422
State	Published - 2014
Event	53rd IEEE Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2014-December

Conference

Conference	53rd IEEE Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2014.7039422

Cite this

Glizer, V. Y., Feigin, Y., Fridman, E., & Margaliot, M. (2014). A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 451-456). Article 7039422 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2014-December, No. February). https://doi.org/10.1109/CDC.2014.7039422

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title = "A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays",

abstract = "A linear time-invariant singularly perturbed system with point-wise and distributed small time delays is considered. A direct approach to exact slow-fast decomposition of this system is proposed. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem. Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using in various engineering applications. An illustrative example is presented.",

author = "Glizer, \{Valery Y.\} and Yuri Feigin and Emilia Fridman and Michael Margaliot",

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year = "2014",

doi = "10.1109/CDC.2014.7039422",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Glizer, VY, Feigin, Y, Fridman, E & Margaliot, M 2014, A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039422, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2014-December, pp. 451-456, 53rd IEEE Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039422

A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays. / Glizer, Valery Y.; Feigin, Yuri; Fridman, Emilia et al.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. 2014. p. 451-456 7039422 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2014-December, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Fridman, Emilia

AU - Margaliot, Michael

PY - 2014

Y1 - 2014

N2 - A linear time-invariant singularly perturbed system with point-wise and distributed small time delays is considered. A direct approach to exact slow-fast decomposition of this system is proposed. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem. Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using in various engineering applications. An illustrative example is presented.

AB - A linear time-invariant singularly perturbed system with point-wise and distributed small time delays is considered. A direct approach to exact slow-fast decomposition of this system is proposed. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem. Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using in various engineering applications. An illustrative example is presented.

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M3 - Conference contribution

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Y2 - 15 December 2014 through 17 December 2014

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A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays

Abstract

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ASJC Scopus subject areas

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