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On the controllability of a class of nonlinear systems
For the system dx/dt = f(x, t) + B(t)u with f(x, t) defined in a bounded region in the state space, sufficient conditions for the initial states to be controllable are given.
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Published in: | IEEE transactions on automatic control 1971-10, Vol.16 (5), p.497-498 |
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Main Authors: | , |
Format: | Article |
Language: | English |
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cited_by | cdi_FETCH-LOGICAL-c323t-d7cae2e3c3fde70bf682ded4490ce83c6f024809786f8454cfaa6d634705864d3 |
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cites | cdi_FETCH-LOGICAL-c323t-d7cae2e3c3fde70bf682ded4490ce83c6f024809786f8454cfaa6d634705864d3 |
container_end_page | 498 |
container_issue | 5 |
container_start_page | 497 |
container_title | IEEE transactions on automatic control |
container_volume | 16 |
creator | Mirza, K. Womack, B. |
description | For the system dx/dt = f(x, t) + B(t)u with f(x, t) defined in a bounded region in the state space, sufficient conditions for the initial states to be controllable are given. |
doi_str_mv | 10.1109/TAC.1971.1099795 |
format | article |
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Womack, B.</creator><creatorcontrib>Mirza, K. ; Womack, B.</creatorcontrib><description>For the system dx/dt = f(x, t) + B(t)u with f(x, t) defined in a bounded region in the state space, sufficient conditions for the initial states to be controllable are given.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.1971.1099795</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>IEEE</publisher><subject>Automatic control ; Control systems ; Controllability ; Eigenvalues and eigenfunctions ; Feedback ; Nonlinear equations ; Nonlinear systems ; State-space methods ; Sufficient conditions</subject><ispartof>IEEE transactions on automatic control, 1971-10, Vol.16 (5), p.497-498</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c323t-d7cae2e3c3fde70bf682ded4490ce83c6f024809786f8454cfaa6d634705864d3</citedby><cites>FETCH-LOGICAL-c323t-d7cae2e3c3fde70bf682ded4490ce83c6f024809786f8454cfaa6d634705864d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1099795$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,54796</link.rule.ids></links><search><creatorcontrib>Mirza, K.</creatorcontrib><creatorcontrib>Womack, B.</creatorcontrib><title>On the controllability of a class of nonlinear systems</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>For the system dx/dt = f(x, t) + B(t)u with f(x, t) defined in a bounded region in the state space, sufficient conditions for the initial states to be controllable are given.</description><subject>Automatic control</subject><subject>Control systems</subject><subject>Controllability</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Feedback</subject><subject>Nonlinear equations</subject><subject>Nonlinear systems</subject><subject>State-space methods</subject><subject>Sufficient conditions</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1971</creationdate><recordtype>article</recordtype><recordid>eNqNkLtLA0EQhxdRMEZ7weYqu4v7fpQh-IJAmlgvm71ZPLncxp1Lkf_eC2dhaTUzzPcbho-Qe0YXjFH3tF2uFswZthgHZ5y6IDOmlK254uKSzChltnbc6mtyg_g1jlpKNiN601fDJ1Qx90PJXRd2bdcOpyqnKlSxC4jnts991_YQSoUnHGCPt-QqhQ7h7rfOycfL83b1Vq83r--r5bqOgouhbkwMwEFEkRowdJe05Q00UjoawYqoE-XSUmesTlYqGVMIutFCGqqslo2Yk8fp7qHk7yPg4PctRhj_7CEf0XPrLONG_AOURilhR5BOYCwZsUDyh9LuQzl5Rv3ZpB9N-rNJ_2tyjDxMkRYA_uDT9gfmKW6M</recordid><startdate>19711001</startdate><enddate>19711001</enddate><creator>Mirza, K.</creator><creator>Womack, B.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>H8D</scope></search><sort><creationdate>19711001</creationdate><title>On the controllability of a class of nonlinear systems</title><author>Mirza, K. ; Womack, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c323t-d7cae2e3c3fde70bf682ded4490ce83c6f024809786f8454cfaa6d634705864d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1971</creationdate><topic>Automatic control</topic><topic>Control systems</topic><topic>Controllability</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Feedback</topic><topic>Nonlinear equations</topic><topic>Nonlinear systems</topic><topic>State-space methods</topic><topic>Sufficient conditions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mirza, K.</creatorcontrib><creatorcontrib>Womack, B.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Aerospace Database</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mirza, K.</au><au>Womack, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the controllability of a class of nonlinear systems</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>1971-10-01</date><risdate>1971</risdate><volume>16</volume><issue>5</issue><spage>497</spage><epage>498</epage><pages>497-498</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>For the system dx/dt = f(x, t) + B(t)u with f(x, t) defined in a bounded region in the state space, sufficient conditions for the initial states to be controllable are given.</abstract><pub>IEEE</pub><doi>10.1109/TAC.1971.1099795</doi><tpages>2</tpages></addata></record> |
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identifier | ISSN: 0018-9286 |
ispartof | IEEE transactions on automatic control, 1971-10, Vol.16 (5), p.497-498 |
issn | 0018-9286 1558-2523 |
language | eng |
recordid | cdi_proquest_miscellaneous_28981273 |
source | IEEE Electronic Library (IEL) Journals |
subjects | Automatic control Control systems Controllability Eigenvalues and eigenfunctions Feedback Nonlinear equations Nonlinear systems State-space methods Sufficient conditions |
title | On the controllability of a class of nonlinear systems |
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