Low-regret optimal control for an inverse electrocardiological problem with incomplete data

DOI10.1080/00207179.2022.2091477OpenAlexW4283313373MaRDI QIDQ6138276

Bedr'Erddine Ainseba, Abdennebi Omrane

Publication date: 5 September 2023

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2022.2091477

zbMATH Keywords

incomplete dataFitzHugh-Nagumo modellow-regret optimal controlsingular optimality system (SOS)heart electrical activity system

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Optimality conditions for problems involving partial differential equations (49K20) Biological applications of optics and electromagnetic theory (78A70) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Physiology (general) (92C30) Initial value problems for second-order parabolic equations (35K15) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for mixed-type systems of PDEs (35M33) PDEs in connection with control and optimization (35Q93) Problems with incomplete information (optimization) (49N30)

Cites Work

• A two-current model for the dynamics of cardiac membrane
• Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
• Optimal control for age-structured population dynamics of incomplete data
• No-regret control for nonlinear distributed systems with incomplete data.
• Pointwise optimal control for diffusion problems of missing data
• 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
• Effect of torso non-homogeneities in the quasi-static inverse problems arising in electrocardiology
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