No-regret control for nonlinear distributed systems with incomplete data.

DOI10.1016/S0021-7824(02)01268-0zbMATH Open1057.49005OpenAlexW1994308518MaRDI QIDQ1406929

Jean Vélin, A. Omrane, Ousseynou Nakoulima

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(02)01268-0

zbMATH Keywords

cost functionquadratic perturbationno-regret controlnonlinear distributed systemsadapted low-regret controlPareto controlsystems with incomplete data

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Deterministic optimal control, given only a partial observation of the initial state
• On the Pareto Control and No-Regret Control for Distributed Systems with Incomplete Data
• Perturbations à moindres regrets dans les systèmes distribués à données manquantes
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Related Items (11)

Low-regret control for a fractional wave equation with incomplete data ⋮ No-regret distributed control of system governed by quasilinear elliptic equations with incomplete data: the degenerate case ⋮ Optimal control for fractional diffusion equations with incomplete data ⋮ Pointwise optimal control for diffusion problems of missing data ⋮ OPTIMAL CONTROL OF A NONLINEAR ELLIPTICAL EVOLUTION PROBLEM WITH MISSING DATA ⋮ Low-regret optimal control for an inverse electrocardiological problem with incomplete data ⋮ Optimal Control of a Population Dynamics Model with Missing Birth Rate ⋮ Optimal control of averaged state of a parabolic equation with missing boundary condition ⋮ Optimal control of a thermoelastic body with missing initial conditions ⋮ Identification of the local changes in age-structured population dynamics with missing initial condition ⋮ Optimal control of electromagnetic wave displacement with an unknown velocity of propagation

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