Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls

Elena Litsyn; Marina Myasnikova; Yurii Nepomnyashchikh; Arcady Ponosov

doi:10.1155/S1085337504306238

Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls

Elena Litsyn
, Marina Myasnikova
, Yurii Nepomnyashchikh
, Arcady Ponosov

Department of Mathematics

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

2 Scopus citations

Abstract

We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feed-back control.

Original language	English
Pages (from-to)	487-499
Number of pages	13
Journal	Abstract and Applied Analysis
Volume	2004
Issue number	6
DOIs	https://doi.org/10.1155/S1085337504306238
State	Published - 17 May 2004

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1155/S1085337504306238

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abstract = "We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feed-back control.",

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AU - Myasnikova, Marina

AU - Nepomnyashchikh, Yurii

AU - Ponosov, Arcady

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Y1 - 2004/5/17

N2 - We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feed-back control.

AB - We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2×2 system can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feed-back control.

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Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls

Abstract

ASJC Scopus subject areas

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