Variational approach to construction of piecewise-constant approximations of the solution of dynamic reconstruction problem

DOI10.1007/978-3-031-28505-9_16MaRDI QIDQ6615671

Evgeniy Krupennikov, N. N. Subbotina

Publication date: 8 October 2024

zbMATH Keywords

inverse problemsHamiltonian systemscalculus of variationscontrol theoryD.C. functions

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Control/observation systems governed by ordinary differential equations (93C15) Miscellaneous topics in calculus of variations and optimal control (49N99)

Cites Work

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• Identification of biological models described by systems of nonlinear differential equations
• Reconstruction of an unbounded input of a system of differential equations
• Weak\(^\ast\) solution to a dynamic reconstruction problem
• Dynamic force identification problem based on a novel improved Tikhonov regularization method
• Past and future of inverse problems
• Efficient algorithms for the regularization of dynamic inverse problems: II. Applications
• Advanced Time Series Data Analysis
• Dynamic inverse problems: modelling—regularization—numerics

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