A test for determining systems with "mixed" small gain and passivity properties

Wynita M. Griggs; Brian D.O. Anderson; Robert N. Shorten

doi:10.1016/j.sysconle.2011.04.003

A test for determining systems with "mixed" small gain and passivity properties

Wynita M. Griggs, Brian D.O. Anderson, Robert N. Shorten

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

11 Citations (Scopus)

Abstract

"Mixedness" is a property that captures elements of the notions of passivity and small gain. In the frequency domain, a linear, time-invariant system is called "mixed" if, over some frequency bands, it is strictly passive and, over the remaining frequencies, it has a gain of less than one; there exist no frequencies over which the system has neither of the notions of these properties associated with it. In this paper, a test is developed for determining whether or not a linear, time-invariant system is "mixed".

Original language	English
Pages (from-to)	479-485
Number of pages	7
Journal	Systems and Control Letters
Volume	60
Issue number	7
DOIs	https://doi.org/10.1016/j.sysconle.2011.04.003
Publication status	Published - Jul 2011

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10.1016/j.sysconle.2011.04.003

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abstract = "{"}Mixedness{"} is a property that captures elements of the notions of passivity and small gain. In the frequency domain, a linear, time-invariant system is called {"}mixed{"} if, over some frequency bands, it is strictly passive and, over the remaining frequencies, it has a gain of less than one; there exist no frequencies over which the system has neither of the notions of these properties associated with it. In this paper, a test is developed for determining whether or not a linear, time-invariant system is {"}mixed{"}.",

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AU - Anderson, Brian D.O.

AU - Shorten, Robert N.

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AB - "Mixedness" is a property that captures elements of the notions of passivity and small gain. In the frequency domain, a linear, time-invariant system is called "mixed" if, over some frequency bands, it is strictly passive and, over the remaining frequencies, it has a gain of less than one; there exist no frequencies over which the system has neither of the notions of these properties associated with it. In this paper, a test is developed for determining whether or not a linear, time-invariant system is "mixed".

KW - Passivity

KW - Properties of linear, time-invariant systems

KW - Small gain

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DO - 10.1016/j.sysconle.2011.04.003

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VL - 60

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EP - 485

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 7

ER -

A test for determining systems with "mixed" small gain and passivity properties

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