Low-regret control of singular distributed systems: the ill-posed backwards heat problem

Abstract : We use the low-regret notion of Lions for the control of a class of singular distributed systems: the ill-posed problems. A regularization approach is applied to the backwards heat equation, and we obtain a problem of incomplete data, for which the method of Nakoulima et al. is developed. Passing to the limit, a singular optimality system is obtained for the low-regret control of the original problem without any Slater hypothesis.
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Applied Mathematics Letters, Elsevier, 2004, pp.549-552. 〈10.1016/j.aml.2003.04.006〉
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https://hal.univ-antilles.fr/hal-00763938
Contributeur : Pamphile Isch <>
Soumis le : mardi 11 décembre 2012 - 22:04:47
Dernière modification le : jeudi 21 décembre 2017 - 13:28:02

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René Dorville, Ousseynou Nakoulima, Abdennebi Omrane. Low-regret control of singular distributed systems: the ill-posed backwards heat problem. Applied Mathematics Letters, Elsevier, 2004, pp.549-552. 〈10.1016/j.aml.2003.04.006〉. 〈hal-00763938〉

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