untitled
<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd>
<responseDate>2018-01-15T18:37:48Z</responseDate>
<request identifier=oai:HAL:hal-00764259v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request>
<GetRecord>
<record>
<header>
<identifier>oai:HAL:hal-00764259v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:CEREGMIA</setSpec>
<setSpec>collection:TDS-MACS</setSpec>
</header>
<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>On the pareto control and no-regret control for distributed systems with incomplete data</title>
<creator>Nakoulima, Ousseynou</creator>
<creator>Omrane, Abdennebi</creator>
<creator>Velin, Jean</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0363-0129</source>
<source>EISSN: 1095-7138</source>
<source>SIAM Journal on Control and Optimization</source>
<publisher>Society for Industrial and Applied Mathematics</publisher>
<identifier>hal-00764259</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00764259</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00764259/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00764259/file/38018.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00764259</source>
<source>SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2003, 42 (4), pp.1167-1184. 〈10.1137/S0363012900380188〉</source>
<identifier>DOI : 10.1137/S0363012900380188</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1137/S0363012900380188</relation>
<language>en</language>
<subject lang=en>Pareto control</subject>
<subject lang=en>no-regret control</subject>
<subject lang=en>low-regret control</subject>
<subject lang=en>systems with incomplete data</subject>
<subject lang=en>cost function</subject>
<subject lang=en>quadratic perturbation</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We discuss the control of distributed systems with incomplete data following the notion of no-regret control (or, equivalently, Pareto control) used by Lions in [C. R. Acad. Sci. Paris Ser. I Math., 302 (1986), pp. 223-227] and [C. R. Acad. Sci. Paris Ser. I Math., 302 (1992), pp. 1253-1257]. We associate with the no-regret control a sequence of low-regret controls defined by a quadratic perturbation previously used by Nakoulima, Omrane, and Velin in [C. R. Acad. Sci. Paris Ser. I Math., 330 (2000), pp. 801-806]. In the first part, we prove that the perturbed system corresponds to a sequence of standard control problems and converges to the no-regret (or Pareto) control for which we obtain a singular optimality system. We give also some applications. In the second part, we show how the method can be extended to the evolution case. Equations of parabolic type, Petrowsky type, or hyperbolic type are considered.</description>
<date>2003</date>
</dc>
</metadata>
</record>
</GetRecord>
</OAI-PMH>
