A Method for Computing the Interval of Delay Values for which a Differential-Delay System is Stable

John Chiasson

doi:10.1109/9.14446

A Method for Computing the Interval of Delay Values for which a Differential-Delay System is Stable

John Chiasson

Electrical Engineering Department

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

51 Scopus citations

Abstract

A test for determining the interval of delay values for which a delay-differential system is asymptotically stable is presented, i.e., an explicit method is given for calculating h, such that, for 0 ≦ h < h, a delay-differential system is stable where h is the delay length. Further, it is shown that the system is not asymptotically stable for h – h. Both retarded and neutral systems are discussed.

Original language	English
Pages (from-to)	1176-1178
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	33
Issue number	12
DOIs	https://doi.org/10.1109/9.14446
State	Published - Dec 1988

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title = "A Method for Computing the Interval of Delay Values for which a Differential-Delay System is Stable",

abstract = "A test for determining the interval of delay values for which a delay-differential system is asymptotically stable is presented, i.e., an explicit method is given for calculating h, such that, for 0 ≦ h < h, a delay-differential system is stable where h is the delay length. Further, it is shown that the system is not asymptotically stable for h – h. Both retarded and neutral systems are discussed.",

author = "John Chiasson",

year = "1988",

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T1 - A Method for Computing the Interval of Delay Values for which a Differential-Delay System is Stable

AU - Chiasson, John

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N2 - A test for determining the interval of delay values for which a delay-differential system is asymptotically stable is presented, i.e., an explicit method is given for calculating h, such that, for 0 ≦ h < h, a delay-differential system is stable where h is the delay length. Further, it is shown that the system is not asymptotically stable for h – h. Both retarded and neutral systems are discussed.

AB - A test for determining the interval of delay values for which a delay-differential system is asymptotically stable is presented, i.e., an explicit method is given for calculating h, such that, for 0 ≦ h < h, a delay-differential system is stable where h is the delay length. Further, it is shown that the system is not asymptotically stable for h – h. Both retarded and neutral systems are discussed.

UR - https://www.scopus.com/pages/publications/0024122883

U2 - 10.1109/9.14446

DO - 10.1109/9.14446

M3 - Letter

AN - SCOPUS:0024122883

SN - 0018-9286

VL - 33

SP - 1176

EP - 1178

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 12

ER -

A Method for Computing the Interval of Delay Values for which a Differential-Delay System is Stable

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