Stability of Fast Periodic Systems with Time Lags

Joseph Bentsman; Jamel Fakhfakh; Harry Hvostov

doi:10.1109/9.28026

Stability of Fast Periodic Systems with Time Lags

Joseph Bentsman, Jamel Fakhfakh, Harry Hvostov

Research output: Contribution to journal › Article › peer-review

Abstract

This note extends the stability criterion of [1] for fast periodic linear systems to systems with time delays. Applying the results of Hale [5, 3.3], the asymptotic stability criterion for a class of time lag systems is derived. A comparison to a nondelay case is made, and it is demonstrated that small delays can significantly affect the stability properties of this class of systems.

Original language	English (US)
Pages (from-to)	462-465
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	34
Issue number	4
DOIs	https://doi.org/10.1109/9.28026
State	Published - Apr 1989

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/9.28026

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abstract = "This note extends the stability criterion of [1] for fast periodic linear systems to systems with time delays. Applying the results of Hale [5, 3.3], the asymptotic stability criterion for a class of time lag systems is derived. A comparison to a nondelay case is made, and it is demonstrated that small delays can significantly affect the stability properties of this class of systems.",

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N2 - This note extends the stability criterion of [1] for fast periodic linear systems to systems with time delays. Applying the results of Hale [5, 3.3], the asymptotic stability criterion for a class of time lag systems is derived. A comparison to a nondelay case is made, and it is demonstrated that small delays can significantly affect the stability properties of this class of systems.

AB - This note extends the stability criterion of [1] for fast periodic linear systems to systems with time delays. Applying the results of Hale [5, 3.3], the asymptotic stability criterion for a class of time lag systems is derived. A comparison to a nondelay case is made, and it is demonstrated that small delays can significantly affect the stability properties of this class of systems.

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Stability of Fast Periodic Systems with Time Lags

Abstract

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