The value function of an asymptotic exit-time optimal control problem
Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness re...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Motta, M. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Anmerkung: |
© Springer Basel 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear differential equations and applications - Springer Basel, 1994, 22(2014), 1 vom: 26. Apr., Seite 21-44 |
|---|---|
| Übergeordnetes Werk: |
volume:22 ; year:2014 ; number:1 ; day:26 ; month:04 ; pages:21-44 |
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| DOI / URN: |
10.1007/s00030-014-0274-1 |
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OLC2069550206 |
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| 520 | |a Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness result under some explicit sufficient conditions. We briefly investigate also the infinite horizon problem. | ||
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10.1007/s00030-014-0274-1 doi (DE-627)OLC2069550206 (DE-He213)s00030-014-0274-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Motta, M. verfasserin aut The value function of an asymptotic exit-time optimal control problem 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel 2014 Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness result under some explicit sufficient conditions. We briefly investigate also the infinite horizon problem. Sartori, C. aut Enthalten in Nonlinear differential equations and applications Springer Basel, 1994 22(2014), 1 vom: 26. Apr., Seite 21-44 (DE-627)182292789 (DE-600)1194489-4 (DE-576)045287600 1021-9722 nnns volume:22 year:2014 number:1 day:26 month:04 pages:21-44 https://doi.org/10.1007/s00030-014-0274-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4323 AR 22 2014 1 26 04 21-44 |
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10.1007/s00030-014-0274-1 doi (DE-627)OLC2069550206 (DE-He213)s00030-014-0274-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Motta, M. verfasserin aut The value function of an asymptotic exit-time optimal control problem 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel 2014 Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness result under some explicit sufficient conditions. We briefly investigate also the infinite horizon problem. Sartori, C. aut Enthalten in Nonlinear differential equations and applications Springer Basel, 1994 22(2014), 1 vom: 26. Apr., Seite 21-44 (DE-627)182292789 (DE-600)1194489-4 (DE-576)045287600 1021-9722 nnns volume:22 year:2014 number:1 day:26 month:04 pages:21-44 https://doi.org/10.1007/s00030-014-0274-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4277 GBV_ILN_4323 AR 22 2014 1 26 04 21-44 |
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Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness result under some explicit sufficient conditions. We briefly investigate also the infinite horizon problem. © Springer Basel 2014 |
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Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and known regularity and stability properties do not hold. In this paper we obtain such properties and a uniqueness result under some explicit sufficient conditions. We briefly investigate also the infinite horizon problem. © Springer Basel 2014 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2069550206</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323114304.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2014 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00030-014-0274-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069550206</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00030-014-0274-1-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Motta, M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The value function of an asymptotic exit-time optimal control problem</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Basel 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider a class of exit-time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. 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Apr., Seite 21-44</subfield><subfield code="w">(DE-627)182292789</subfield><subfield code="w">(DE-600)1194489-4</subfield><subfield code="w">(DE-576)045287600</subfield><subfield code="x">1021-9722</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:22</subfield><subfield code="g">year:2014</subfield><subfield code="g">number:1</subfield><subfield code="g">day:26</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:21-44</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00030-014-0274-1</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">22</subfield><subfield code="j">2014</subfield><subfield code="e">1</subfield><subfield code="b">26</subfield><subfield code="c">04</subfield><subfield code="h">21-44</subfield></datafield></record></collection>
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