Preservation of stability and passivity in irrational transfer functions

Guillermo Fernández-Anaya; José Álvarez-Ramírez.; José Job Flores-Godoy

doi:10.1007/1-4020-5261-8_14

Preservation of stability and passivity in irrational transfer functions

Guillermo Fernández-Anaya, José Álvarez-Ramírez., José Job Flores-Godoy

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this work it is presented a generalization on the properties preserved on RH∞ functions to irrational H∞ functions. Particularly, we are interested in passive systems with distributed parameters and delay linear systems. Using substitutions of the variable s by passive functions we show that stability, stabilizability, strong coprime factorizations and passivity are preserved.

Original language	English
Title of host publication	Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005
Publisher	Kluwer Academic Publishers
Pages	83-87
Number of pages	5
ISBN (Print)	140205260X, 9781402052606
DOIs	https://doi.org/10.1007/1-4020-5261-8_14
State	Published - 2006
Externally published	Yes

Publication series

Name	Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005

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10.1007/1-4020-5261-8_14

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Fernández-Anaya, G., Álvarez-Ramírez., J., & Flores-Godoy, J. J. (2006). Preservation of stability and passivity in irrational transfer functions. In Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005 (pp. 83-87). (Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005). Kluwer Academic Publishers. https://doi.org/10.1007/1-4020-5261-8_14

Fernández-Anaya, Guillermo ; Álvarez-Ramírez., José ; Flores-Godoy, José Job. / Preservation of stability and passivity in irrational transfer functions. Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005. Kluwer Academic Publishers, 2006. pp. 83-87 (Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005).

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title = "Preservation of stability and passivity in irrational transfer functions",

abstract = "In this work it is presented a generalization on the properties preserved on RH∞ functions to irrational H∞ functions. Particularly, we are interested in passive systems with distributed parameters and delay linear systems. Using substitutions of the variable s by passive functions we show that stability, stabilizability, strong coprime factorizations and passivity are preserved.",

author = "Guillermo Fern{\'a}ndez-Anaya and Jos{\'e} {\'A}lvarez-Ram{\'i}rez. and Flores-Godoy, {Jos{\'e} Job}",

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doi = "10.1007/1-4020-5261-8_14",

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Fernández-Anaya, G, Álvarez-Ramírez., J & Flores-Godoy, JJ 2006, Preservation of stability and passivity in irrational transfer functions. in Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005. Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005, Kluwer Academic Publishers, pp. 83-87. https://doi.org/10.1007/1-4020-5261-8_14

Preservation of stability and passivity in irrational transfer functions. / Fernández-Anaya, Guillermo; Álvarez-Ramírez., José; Flores-Godoy, José Job.
Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005. Kluwer Academic Publishers, 2006. p. 83-87 (Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Álvarez-Ramírez., José

AU - Flores-Godoy, José Job

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N2 - In this work it is presented a generalization on the properties preserved on RH∞ functions to irrational H∞ functions. Particularly, we are interested in passive systems with distributed parameters and delay linear systems. Using substitutions of the variable s by passive functions we show that stability, stabilizability, strong coprime factorizations and passivity are preserved.

AB - In this work it is presented a generalization on the properties preserved on RH∞ functions to irrational H∞ functions. Particularly, we are interested in passive systems with distributed parameters and delay linear systems. Using substitutions of the variable s by passive functions we show that stability, stabilizability, strong coprime factorizations and passivity are preserved.

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SN - 140205260X

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T3 - Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005

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BT - Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005

PB - Kluwer Academic Publishers

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Fernández-Anaya G, Álvarez-Ramírez. J, Flores-Godoy JJ. Preservation of stability and passivity in irrational transfer functions. In Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005. Kluwer Academic Publishers. 2006. p. 83-87. (Advances in Computer, Information, and Systems Sciences, and Engineering - Proceedings of IETA 2005, TeNe 2005, EIAE 2005). doi: 10.1007/1-4020-5261-8_14

Preservation of stability and passivity in irrational transfer functions

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