Commutativity of cascade connected discrete-time linear time-varying systems
After summarizing the commutativity results for analogue linear time-varying systems, the commutativity of cascade connected discrete-time linear time-varying systems is introduced. Some general open questions on the subject are stated and new results are presented, intended to answer some of them....
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Published in | Transactions of the Institute of Measurement and Control Vol. 37; no. 5; pp. 615 - 622 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
London, England
SAGE Publications
01.05.2015
Sage Publications Ltd |
Subjects | |
Online Access | Get full text |
ISSN | 0142-3312 1477-0369 |
DOI | 10.1177/0142331214532678 |
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Abstract | After summarizing the commutativity results for analogue linear time-varying systems, the commutativity of cascade connected discrete-time linear time-varying systems is introduced. Some general open questions on the subject are stated and new results are presented, intended to answer some of them. Two examples are given to reinforce the concept and to show up its possible benefits in engineering to reduce noise effects and design robust systems. |
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AbstractList | After summarizing the commutativity results for analogue linear time-varying systems, the commutativity of cascade connected discrete-time linear time-varying systems is introduced. Some general open questions on the subject are stated and new results are presented, intended to answer some of them. Two examples are given to reinforce the concept and to show up its possible benefits in engineering to reduce noise effects and design robust systems. |
Author | Koksal, Mehmet Emir Koksal, Muhammet |
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Cites_doi | 10.1080/00207178208932914 10.1080/00207178808906113 10.1155/2011/678575 10.1080/00207178308933076 10.1049/el:19770388 10.1080/00207178308933041 |
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Keywords | robustness discrete-time systems sensitivity commutativity Cascade connection |
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References | Koksal 1983; 1 Koksal 1982c; 3 Marshall 1977; 18 Koksal 1988a; 5 Koksal, Koksal 2011; 2011 Saleh 1983; 37 bibr6-0142331214532678 bibr17-0142331214532678 Koksal M (bibr13-0142331214532678) 1988 Miller GM (bibr18-0142331214532678) 2002 Koksal M (bibr11-0142331214532678) 1987 bibr12-0142331214532678 Koksal M (bibr5-0142331214532678) 1982 bibr4-0142331214532678 Koksal M (bibr10-0142331214532678) 1985 bibr15-0142331214532678 Boylestad RL (bibr1-0142331214532678) 2002 Young PH (bibr21-0142331214532678) 1994 Skalar B (bibr20-0142331214532678) 2001 Koksal ME (bibr16-0142331214532678) 2013 bibr19-0142331214532678 Dorf RC (bibr2-0142331214532678) 2004 bibr7-0142331214532678 Hykin S (bibr3-0142331214532678) 1988 Koksal M (bibr8-0142331214532678) 1984 bibr9-0142331214532678 Koksal M (bibr14-0142331214532678) 1989 |
References_xml | – volume: 5 start-page: 1521 year: 1988a end-page: 1537 article-title: An exhaustive study on the commutativity of time-varying systems publication-title: International Journal of Control – volume: 3 start-page: 541 year: 1982c end-page: 544 article-title: Commutativity of second order time-varying systems publication-title: International Journal of Control – volume: 1 start-page: 273 year: 1983 end-page: 274 article-title: Corrections on Commutativity of second order time-varying systems publication-title: International Journal of Control – volume: 37 start-page: 1195 year: 1983 end-page: 1195 article-title: Comments on Commutativity of second-order time-varying systems publication-title: International Journal of Control – volume: 2011 start-page: 1 year: 2011 end-page: 25 article-title: Commutativity of linear time-varying differential systems with non-zero initial conditions: a review and some new extensions publication-title: Mathematical Problems in Engineering – volume: 18 start-page: 539 year: 1977 end-page: 540 article-title: Commutativity of time varying systems publication-title: Electronic Letters – volume-title: Introduction to Electric Circuits year: 2004 ident: bibr2-0142331214532678 – volume-title: Electronic Communication Techniques year: 1994 ident: bibr21-0142331214532678 – start-page: 230 volume-title: Proceedings of the 7th Colloquium on Microwave Communication year: 1982 ident: bibr5-0142331214532678 – ident: bibr4-0142331214532678 doi: 10.1080/00207178208932914 – volume-title: Modern Electronic Communication year: 2002 ident: bibr18-0142331214532678 – start-page: 61 volume-title: Proceedings of 6th International Symposium on Networks, Systems and Signal Processing year: 1989 ident: bibr14-0142331214532678 – start-page: 570 volume-title: Proceedings of 2nd National Congress of Electrical Engineers year: 1987 ident: bibr11-0142331214532678 – volume-title: Electronic Devices and Circuit Theory year: 2002 ident: bibr1-0142331214532678 – ident: bibr12-0142331214532678 doi: 10.1080/00207178808906113 – ident: bibr15-0142331214532678 doi: 10.1155/2011/678575 – start-page: BI–6 volume-title: National Congress of Electrical Engineers year: 1985 ident: bibr10-0142331214532678 – volume-title: Digital Communications: Fundamentals and Applications year: 2001 ident: bibr20-0142331214532678 – ident: bibr7-0142331214532678 doi: 10.1080/00207178308933076 – start-page: 49 volume-title: Proceedings of International AMSE Conference on Modelling and Simulation year: 1988 ident: bibr13-0142331214532678 – start-page: 1128 volume-title: Proceedings of the 2013 Automatic Control National Meeting TOK’2013 year: 2013 ident: bibr16-0142331214532678 – ident: bibr6-0142331214532678 doi: 10.1080/00207178208932914 – volume-title: Digital Communucation year: 1988 ident: bibr3-0142331214532678 – ident: bibr17-0142331214532678 doi: 10.1049/el:19770388 – start-page: 229 volume-title: Proceedings of IASTED International conference on Telecommunication and Control year: 1984 ident: bibr8-0142331214532678 – ident: bibr9-0142331214532678 – ident: bibr19-0142331214532678 doi: 10.1080/00207178308933041 |
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SubjectTerms | Analogue Cascades Control systems Design engineering Generalized linear models Noise reduction Studies |
Title | Commutativity of cascade connected discrete-time linear time-varying systems |
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