Time optimal controls and bang–bang property for systems describing plate vibrations
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          | Published in | Systems & control letters Vol. 182; p. 105670 | 
|---|---|
| Main Authors | , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
          
        01.12.2023
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| Online Access | Get full text | 
| ISSN | 0167-6911 1872-7956  | 
| DOI | 10.1016/j.sysconle.2023.105670 | 
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| ArticleNumber | 105670 | 
    
|---|---|
| Author | Tucsnak, Marius Rovenţa, Ionel Micu, Sorin  | 
    
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| Cites_doi | 10.1137/0302005 10.1016/j.jfa.2012.04.009 10.1090/S0002-9947-08-04584-4 10.1051/cocv/2012017 10.1137/S0363012996265470 10.1137/120872437 10.1137/060678191 10.4171/jems/490 10.5802/ahl.19 10.1090/qam/78516 10.4171/jems/371  | 
    
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| References | Wang (10.1016/j.sysconle.2023.105670_b5) 2018; vol. 92 Phung (10.1016/j.sysconle.2023.105670_b8) 2013; 15 Lohéac (10.1016/j.sysconle.2023.105670_b11) 2013; 51 Bellman (10.1016/j.sysconle.2023.105670_b1) 1956; 14 Lions (10.1016/j.sysconle.2023.105670_b3) 1968 Mizel (10.1016/j.sysconle.2023.105670_b6) 1997; 35 Tenenbaum (10.1016/j.sysconle.2023.105670_b18) 2009; 361 Apraiz (10.1016/j.sysconle.2023.105670_b12) 2014; 16 Micu (10.1016/j.sysconle.2023.105670_b10) 2012; 263 Komornik (10.1016/j.sysconle.2023.105670_b15) 1992; 71 Wang (10.1016/j.sysconle.2023.105670_b7) 2008; 47 Tucsnak (10.1016/j.sysconle.2023.105670_b13) 2009 Fattorini (10.1016/j.sysconle.2023.105670_b2) 1964; 2 Bournissou (10.1016/j.sysconle.2023.105670_b17) 2023 Kunisch (10.1016/j.sysconle.2023.105670_b9) 2013; 19 Fattorini (10.1016/j.sysconle.2023.105670_b4) 2005; vol. 201 Jaffard (10.1016/j.sysconle.2023.105670_b14) 1988; 307 Burq (10.1016/j.sysconle.2023.105670_b16) 2019; 2  | 
    
| References_xml | – volume: 2 start-page: 54 year: 1964 ident: 10.1016/j.sysconle.2023.105670_b2 article-title: Time-optimal control of solutions of operational differenital equations publication-title: J. Soc. Ind. Appl. Math. Ser. A Control doi: 10.1137/0302005 – volume: 307 start-page: 759 issue: 14 year: 1988 ident: 10.1016/j.sysconle.2023.105670_b14 article-title: Contrôle interne exact des vibrations d’une plaque carrée publication-title: C. R. Acad. Sci. Paris Sér. I Math. – volume: 263 start-page: 25 issue: 1 year: 2012 ident: 10.1016/j.sysconle.2023.105670_b10 article-title: Time optimal boundary controls for the heat equation publication-title: J. Funct. Anal. doi: 10.1016/j.jfa.2012.04.009 – volume: 361 start-page: 951 issue: 2 year: 2009 ident: 10.1016/j.sysconle.2023.105670_b18 article-title: Fast and strongly localized observation for the Schrödinger equation publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-08-04584-4 – volume: vol. 92 start-page: xvi+334 year: 2018 ident: 10.1016/j.sysconle.2023.105670_b5 – volume: 19 start-page: 460 issue: 2 year: 2013 ident: 10.1016/j.sysconle.2023.105670_b9 article-title: Time optimal control of the heat equation with pointwise control constraints publication-title: ESAIM Control Optim. Calc. Var. doi: 10.1051/cocv/2012017 – volume: 35 start-page: 1204 issue: 4 year: 1997 ident: 10.1016/j.sysconle.2023.105670_b6 article-title: An abstract bang-bang principle and time-optimal boundary control of the heat equation publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012996265470 – year: 2023 ident: 10.1016/j.sysconle.2023.105670_b17 – start-page: xiii+426 year: 1968 ident: 10.1016/j.sysconle.2023.105670_b3 – volume: vol. 201 start-page: xii+320 year: 2005 ident: 10.1016/j.sysconle.2023.105670_b4 – volume: 51 start-page: 4016 issue: 5 year: 2013 ident: 10.1016/j.sysconle.2023.105670_b11 article-title: Maximum principle and bang-bang property of time optimal controls for Schrodinger-type systems publication-title: SIAM J. Control Optim. doi: 10.1137/120872437 – volume: 47 start-page: 1701 issue: 4 year: 2008 ident: 10.1016/j.sysconle.2023.105670_b7 article-title: L∞-null controllability for the heat equation and its consequences for the time optimal control problem publication-title: SIAM J. Control Optim. doi: 10.1137/060678191 – volume: 16 start-page: 2433 issue: 11 year: 2014 ident: 10.1016/j.sysconle.2023.105670_b12 article-title: Observability inequalities and measurable sets publication-title: J. Eur. Math. Soc. (JEMS) doi: 10.4171/jems/490 – volume: 2 start-page: 331 year: 2019 ident: 10.1016/j.sysconle.2023.105670_b16 article-title: Rough controls for Schrödinger operators on 2-tori publication-title: Ann. Henri Lebesgue doi: 10.5802/ahl.19 – volume: 14 start-page: 11 year: 1956 ident: 10.1016/j.sysconle.2023.105670_b1 article-title: On the “bang-bang” control problem publication-title: Quart. Appl. Math. doi: 10.1090/qam/78516 – volume: 71 start-page: 331 issue: 4 year: 1992 ident: 10.1016/j.sysconle.2023.105670_b15 article-title: On the exact internal controllability of a Petrowsky system publication-title: J. Math. Pures Appl. (9) – volume: 15 start-page: 681 issue: 2 year: 2013 ident: 10.1016/j.sysconle.2023.105670_b8 article-title: An observability estimate for parabolic equations from a measurable set in time and its applications publication-title: J. Eur. Math. Soc. (JEMS) doi: 10.4171/jems/371 – year: 2009 ident: 10.1016/j.sysconle.2023.105670_b13  | 
    
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