Asymptotic Properties and Stability Criteria of Zeros of Sampled-Data Models for Decouplable MIMO Systems
This note analyzes the zeros of the sampled-data models corresponding to continuous-time decouplable MIMO systems with all relative degrees less than or equal to two and shows approximate expressions of the zeros as power series expansions with respect to a sampling period. Further, stability criter...
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Veröffentlicht in: | IEEE transactions on automatic control 2013-11, Vol.58 (11), p.2985-2990 |
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creator | Ishitobi, Mitsuaki Nishi, Masatoshi Kunimatsu, Sadaaki |
description | This note analyzes the zeros of the sampled-data models corresponding to continuous-time decouplable MIMO systems with all relative degrees less than or equal to two and shows approximate expressions of the zeros as power series expansions with respect to a sampling period. Further, stability criteria of the zeros for small sampling periods are given. |
doi_str_mv | 10.1109/TAC.2013.2261175 |
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Further, stability criteria of the zeros for small sampling periods are given.</description><subject>Asymptotic stability</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Equations</subject><subject>Limiting</subject><subject>Matrices</subject><subject>MIMO</subject><subject>Multi-input multi-output (MIMO) system</subject><subject>sampled-data system</subject><subject>Stability criteria</subject><subject>zeros</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kM1qwzAQhEVpoWnae6EXvYBTrWTJ0jEk_QkkpJD00ouR7RWo2LWR1IPfvg4JPe3sMLMsHyGPwBYAzDwfl6sFZyAWnCuAQl6RGUipMy65uCYzxkBnhmt1S-5i_J5WlecwI34Zx25IffI1_Qj9gCF5jNT-NPSQbOVbn0a6Cj5h8Jb2jn5h6ONJHGw3tNhka5ss3fUNtpG6PtA11v3v0NqqRbrb7Pb0MMaEXbwnN862ER8uc04-X1-Oq_dsu3_brJbbrOZKpAzA6cIUtVJWGQlSF447y4oci6ZyJreTL7SASgmOvELFDTCFCo0FCVqLOWHnu_X0aAzoyiH4zoaxBFaeUJUTqvKEqrygmipP54pHxP-4kgBGC_EHvIJk0A</recordid><startdate>20131101</startdate><enddate>20131101</enddate><creator>Ishitobi, Mitsuaki</creator><creator>Nishi, Masatoshi</creator><creator>Kunimatsu, Sadaaki</creator><general>IEEE</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20131101</creationdate><title>Asymptotic Properties and Stability Criteria of Zeros of Sampled-Data Models for Decouplable MIMO Systems</title><author>Ishitobi, Mitsuaki ; Nishi, Masatoshi ; Kunimatsu, Sadaaki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c263t-11f8797c66a6951587f2fa074e7dbf94a6a63831b632e2be629106e6e9a151883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Asymptotic stability</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Equations</topic><topic>Limiting</topic><topic>Matrices</topic><topic>MIMO</topic><topic>Multi-input multi-output (MIMO) system</topic><topic>sampled-data system</topic><topic>Stability criteria</topic><topic>zeros</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ishitobi, Mitsuaki</creatorcontrib><creatorcontrib>Nishi, Masatoshi</creatorcontrib><creatorcontrib>Kunimatsu, Sadaaki</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ishitobi, Mitsuaki</au><au>Nishi, Masatoshi</au><au>Kunimatsu, Sadaaki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asymptotic Properties and Stability Criteria of Zeros of Sampled-Data Models for Decouplable MIMO Systems</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2013-11-01</date><risdate>2013</risdate><volume>58</volume><issue>11</issue><spage>2985</spage><epage>2990</epage><pages>2985-2990</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>This note analyzes the zeros of the sampled-data models corresponding to continuous-time decouplable MIMO systems with all relative degrees less than or equal to two and shows approximate expressions of the zeros as power series expansions with respect to a sampling period. Further, stability criteria of the zeros for small sampling periods are given.</abstract><pub>IEEE</pub><doi>10.1109/TAC.2013.2261175</doi><tpages>6</tpages></addata></record> |
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subjects | Asymptotic stability Eigenvalues and eigenfunctions Equations Limiting Matrices MIMO Multi-input multi-output (MIMO) system sampled-data system Stability criteria zeros |
title | Asymptotic Properties and Stability Criteria of Zeros of Sampled-Data Models for Decouplable MIMO Systems |
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