Optimal feedback control for semilinear fractional evolution equations in Banach spaces

In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Systems & control letters 2012-04, Vol.61 (4), p.472-476
Hauptverfasser: Wang, JinRong, Zhou, Yong, Wei, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 476
container_issue 4
container_start_page 472
container_title Systems & control letters
container_volume 61
creator Wang, JinRong
Zhou, Yong
Wei, Wei
description In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange problem is presented.
doi_str_mv 10.1016/j.sysconle.2011.12.009
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1038262180</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0167691112000035</els_id><sourcerecordid>1038262180</sourcerecordid><originalsourceid>FETCH-LOGICAL-c375t-99ff6626092fc3c1908e12293550eb4808e5b3734a1ae738a29fee41ad5ed1d83</originalsourceid><addsrcrecordid>eNqFkE1LAzEQhoMoWKt_QfYieNk1k3Q_clOLX1DoRfEY0uwspm43bWZb6L83S6tXT5mEZ-bNPIxdA8-AQ3G3zGhP1nctZoIDZCAyztUJG0FVirRUeXHKRhEs00IBnLMLoiXnXHApR-xzvu7dyrRJg1gvjP1O4qQ--PjgQ0K4cq3r0ISkCcb2zncRxZ1vt0Od4GZrhoIS1yWPpjP2K6G1sUiX7KwxLeHV8Ryzj-en9-lrOpu_vE0fZqmVZd6nSjVNUYiCK9FYaUHxCkEIJfOc42JSxWu-kKWcGDBYysoIFT86AVPnWENdyTG7PcxdB7_ZIvV65chi25oO_ZY0cFmJQkDFI1ocUBs8UcBGr0NcPewjpAeTeql_TerBpAaho8nYeHPMMGRNG0101tFft8grEDIfAu4PHMaFdw6DJuuws1i7gLbXtXf_Rf0A0JeN_w</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1038262180</pqid></control><display><type>article</type><title>Optimal feedback control for semilinear fractional evolution equations in Banach spaces</title><source>Elsevier ScienceDirect Journals Complete</source><creator>Wang, JinRong ; Zhou, Yong ; Wei, Wei</creator><creatorcontrib>Wang, JinRong ; Zhou, Yong ; Wei, Wei</creatorcontrib><description>In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange problem is presented.</description><identifier>ISSN: 0167-6911</identifier><identifier>EISSN: 1872-7956</identifier><identifier>DOI: 10.1016/j.sysconle.2011.12.009</identifier><identifier>CODEN: SCLEDC</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Applied sciences ; Banach space ; Computer science; control theory; systems ; Control systems ; Control theory. Systems ; Evolution ; Exact sciences and technology ; Existence ; Existence theorems ; Feasible pairs ; Feedback control ; Fractional evolution equations ; Mathematical analysis ; Mild solutions ; Optimal control ; Optimal feedback control ; Optimization</subject><ispartof>Systems &amp; control letters, 2012-04, Vol.61 (4), p.472-476</ispartof><rights>2012 Elsevier B.V.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c375t-99ff6626092fc3c1908e12293550eb4808e5b3734a1ae738a29fee41ad5ed1d83</citedby><cites>FETCH-LOGICAL-c375t-99ff6626092fc3c1908e12293550eb4808e5b3734a1ae738a29fee41ad5ed1d83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.sysconle.2011.12.009$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=25812350$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Wang, JinRong</creatorcontrib><creatorcontrib>Zhou, Yong</creatorcontrib><creatorcontrib>Wei, Wei</creatorcontrib><title>Optimal feedback control for semilinear fractional evolution equations in Banach spaces</title><title>Systems &amp; control letters</title><description>In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange problem is presented.</description><subject>Applied sciences</subject><subject>Banach space</subject><subject>Computer science; control theory; systems</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Evolution</subject><subject>Exact sciences and technology</subject><subject>Existence</subject><subject>Existence theorems</subject><subject>Feasible pairs</subject><subject>Feedback control</subject><subject>Fractional evolution equations</subject><subject>Mathematical analysis</subject><subject>Mild solutions</subject><subject>Optimal control</subject><subject>Optimal feedback control</subject><subject>Optimization</subject><issn>0167-6911</issn><issn>1872-7956</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKt_QfYieNk1k3Q_clOLX1DoRfEY0uwspm43bWZb6L83S6tXT5mEZ-bNPIxdA8-AQ3G3zGhP1nctZoIDZCAyztUJG0FVirRUeXHKRhEs00IBnLMLoiXnXHApR-xzvu7dyrRJg1gvjP1O4qQ--PjgQ0K4cq3r0ISkCcb2zncRxZ1vt0Od4GZrhoIS1yWPpjP2K6G1sUiX7KwxLeHV8Ryzj-en9-lrOpu_vE0fZqmVZd6nSjVNUYiCK9FYaUHxCkEIJfOc42JSxWu-kKWcGDBYysoIFT86AVPnWENdyTG7PcxdB7_ZIvV65chi25oO_ZY0cFmJQkDFI1ocUBs8UcBGr0NcPewjpAeTeql_TerBpAaho8nYeHPMMGRNG0101tFft8grEDIfAu4PHMaFdw6DJuuws1i7gLbXtXf_Rf0A0JeN_w</recordid><startdate>20120401</startdate><enddate>20120401</enddate><creator>Wang, JinRong</creator><creator>Zhou, Yong</creator><creator>Wei, Wei</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7TA</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20120401</creationdate><title>Optimal feedback control for semilinear fractional evolution equations in Banach spaces</title><author>Wang, JinRong ; Zhou, Yong ; Wei, Wei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-99ff6626092fc3c1908e12293550eb4808e5b3734a1ae738a29fee41ad5ed1d83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Applied sciences</topic><topic>Banach space</topic><topic>Computer science; control theory; systems</topic><topic>Control systems</topic><topic>Control theory. Systems</topic><topic>Evolution</topic><topic>Exact sciences and technology</topic><topic>Existence</topic><topic>Existence theorems</topic><topic>Feasible pairs</topic><topic>Feedback control</topic><topic>Fractional evolution equations</topic><topic>Mathematical analysis</topic><topic>Mild solutions</topic><topic>Optimal control</topic><topic>Optimal feedback control</topic><topic>Optimization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, JinRong</creatorcontrib><creatorcontrib>Zhou, Yong</creatorcontrib><creatorcontrib>Wei, Wei</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Materials Business File</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Systems &amp; control letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, JinRong</au><au>Zhou, Yong</au><au>Wei, Wei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimal feedback control for semilinear fractional evolution equations in Banach spaces</atitle><jtitle>Systems &amp; control letters</jtitle><date>2012-04-01</date><risdate>2012</risdate><volume>61</volume><issue>4</issue><spage>472</spage><epage>476</epage><pages>472-476</pages><issn>0167-6911</issn><eissn>1872-7956</eissn><coden>SCLEDC</coden><abstract>In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange problem is presented.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.sysconle.2011.12.009</doi><tpages>5</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0167-6911
ispartof Systems & control letters, 2012-04, Vol.61 (4), p.472-476
issn 0167-6911
1872-7956
language eng
recordid cdi_proquest_miscellaneous_1038262180
source Elsevier ScienceDirect Journals Complete
subjects Applied sciences
Banach space
Computer science
control theory
systems
Control systems
Control theory. Systems
Evolution
Exact sciences and technology
Existence
Existence theorems
Feasible pairs
Feedback control
Fractional evolution equations
Mathematical analysis
Mild solutions
Optimal control
Optimal feedback control
Optimization
title Optimal feedback control for semilinear fractional evolution equations in Banach spaces
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T10%3A07%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Optimal%20feedback%20control%20for%20semilinear%20fractional%20evolution%20equations%20in%20Banach%20spaces&rft.jtitle=Systems%20&%20control%20letters&rft.au=Wang,%20JinRong&rft.date=2012-04-01&rft.volume=61&rft.issue=4&rft.spage=472&rft.epage=476&rft.pages=472-476&rft.issn=0167-6911&rft.eissn=1872-7956&rft.coden=SCLEDC&rft_id=info:doi/10.1016/j.sysconle.2011.12.009&rft_dat=%3Cproquest_cross%3E1038262180%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1038262180&rft_id=info:pmid/&rft_els_id=S0167691112000035&rfr_iscdi=true