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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https://hal.univ-antilles.fr/hal-00763938
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Submitted on : Tuesday, December 11, 2012 - 10:04:47 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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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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