Existence of solutions to MIMO relay feedback systems

C. Lin; Q. G. Wang; T. H. Lee

doi:10.1080/00207720500218858

Existence of solutions to MIMO relay feedback systems

C. Lin, Q. G. Wang, T. H. Lee

National University of Singapore

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

1 Citation (Scopus)

Abstract

This note studies the existence of solutions to MIMO linear systems under decentralized relay feedback containing hysterisis. A necessary and sufficient condition is presented to guarantee the extended solutions at the so-called intersecting instant. The suggested method is to examine the sign of the first non-zero derivative of each output right after the switches occur. Illustrative examples are given to show the cases of non-existence and non-uniqueness of solutions.

Original language	English
Pages (from-to)	663-668
Number of pages	6
Journal	International Journal of Systems Science
Volume	36
Issue number	10
DOIs	https://doi.org/10.1080/00207720500218858
Publication status	Published - 15 Aug 2005
Externally published	Yes

Keywords

Decentralized relay feedback
Hysterisis
Solution

ASJC Scopus subject areas

Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications

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10.1080/00207720500218858

Cite this

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title = "Existence of solutions to MIMO relay feedback systems",

abstract = "This note studies the existence of solutions to MIMO linear systems under decentralized relay feedback containing hysterisis. A necessary and sufficient condition is presented to guarantee the extended solutions at the so-called intersecting instant. The suggested method is to examine the sign of the first non-zero derivative of each output right after the switches occur. Illustrative examples are given to show the cases of non-existence and non-uniqueness of solutions.",

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N2 - This note studies the existence of solutions to MIMO linear systems under decentralized relay feedback containing hysterisis. A necessary and sufficient condition is presented to guarantee the extended solutions at the so-called intersecting instant. The suggested method is to examine the sign of the first non-zero derivative of each output right after the switches occur. Illustrative examples are given to show the cases of non-existence and non-uniqueness of solutions.

AB - This note studies the existence of solutions to MIMO linear systems under decentralized relay feedback containing hysterisis. A necessary and sufficient condition is presented to guarantee the extended solutions at the so-called intersecting instant. The suggested method is to examine the sign of the first non-zero derivative of each output right after the switches occur. Illustrative examples are given to show the cases of non-existence and non-uniqueness of solutions.

KW - Decentralized relay feedback

KW - Hysterisis

KW - Solution

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DO - 10.1080/00207720500218858

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JF - International Journal of Systems Science

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Existence of solutions to MIMO relay feedback systems

Abstract

Keywords

ASJC Scopus subject areas

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