A method for simultaneous strong stabilization of linear time-varying systems

Andrey V. Savkin; Ian R. Petersen

doi:10.1080/00207720050030725

A method for simultaneous strong stabilization of linear time-varying systems

Andrey V. Savkin^*
, Ian R. Petersen

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

This paper considers the problem of simultaneously stabilizing a finite collection of linear time-varying systems via a stable linear time-varying controller. The class of controllers proposed in this paper are linear, time varying and infinite dimensional. However, the computer implementation of these controllers would not be computationally more demanding than the computer implementation of a finite-dimensional linear time-varying controller.

Original language	English
Pages (from-to)	685-689
Number of pages	5
Journal	International Journal of Systems Science
Volume	31
Issue number	6
DOIs	https://doi.org/10.1080/00207720050030725
Publication status	Published - Jun 2000
Externally published	Yes

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10.1080/00207720050030725

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title = "A method for simultaneous strong stabilization of linear time-varying systems",

abstract = "This paper considers the problem of simultaneously stabilizing a finite collection of linear time-varying systems via a stable linear time-varying controller. The class of controllers proposed in this paper are linear, time varying and infinite dimensional. However, the computer implementation of these controllers would not be computationally more demanding than the computer implementation of a finite-dimensional linear time-varying controller.",

author = "Savkin, \{Andrey V.\} and Petersen, \{Ian R.\}",

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AB - This paper considers the problem of simultaneously stabilizing a finite collection of linear time-varying systems via a stable linear time-varying controller. The class of controllers proposed in this paper are linear, time varying and infinite dimensional. However, the computer implementation of these controllers would not be computationally more demanding than the computer implementation of a finite-dimensional linear time-varying controller.

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DO - 10.1080/00207720050030725

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JO - International Journal of Systems Science

JF - International Journal of Systems Science

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A method for simultaneous strong stabilization of linear time-varying systems

Abstract

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