An ultimate state bound for a class of linear systems with delay

Tao Shen; Ian R. Petersen

doi:10.1016/j.automatica.2017.09.026

An ultimate state bound for a class of linear systems with delay

Tao Shen, Ian R. Petersen

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

7 Citations (Scopus)

Abstract

A new method is given to estimate an ultimate state bound on a time-varying linear system with delay and bounded disturbances by using some results on Metzler matrices. The effectiveness of the obtained results is illustrated by a numerical example.

Original language	English
Pages (from-to)	447-449
Number of pages	3
Journal	Automatica
Volume	87
DOIs	https://doi.org/10.1016/j.automatica.2017.09.026
Publication status	Published - Jan 2018

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10.1016/j.automatica.2017.09.026

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title = "An ultimate state bound for a class of linear systems with delay",

abstract = "A new method is given to estimate an ultimate state bound on a time-varying linear system with delay and bounded disturbances by using some results on Metzler matrices. The effectiveness of the obtained results is illustrated by a numerical example.",

keywords = "Bounded disturbances, Metzler matrix, State bounding, Time-varying linear systems",

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doi = "10.1016/j.automatica.2017.09.026",

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AU - Petersen, Ian R.

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AB - A new method is given to estimate an ultimate state bound on a time-varying linear system with delay and bounded disturbances by using some results on Metzler matrices. The effectiveness of the obtained results is illustrated by a numerical example.

KW - Bounded disturbances

KW - Metzler matrix

KW - State bounding

KW - Time-varying linear systems

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M3 - Article

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SP - 447

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JO - Automatica

JF - Automatica

ER -

An ultimate state bound for a class of linear systems with delay

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