Hamiltonian Systems for Control Reconstruction Problems
Keywords:
Dynamic reconstruction problems, convex-concave discrepancy, variational problems, Hamiltonian systems.Abstract
We present and justify a new algorithm for solving dynamic reconstruction problems. The algorithm is based on solutions of Hamiltonian systems that arise in auxiliary variational problems with concave-convex discrepancy functionals. Modifications of Hamiltonian systems, improving the effectiveness of the new algorithm, are suggested and justified. Results of numerical solution
of a reconstruction problem in medicine are reported.
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