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...
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Veröffentlicht in: | Systems & control letters 2012-04, Vol.61 (4), p.472-476 |
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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 |
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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. 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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 |
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