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- W4320502246 abstract "A dynamical reconstruction problem for a system described by a coupled ordinary differential equation—heat equation is considered. The problem consists in reconstructing an unknown varying in time right-hand part of this system on the basis of inaccurate measurements of its solution. A dynamical algorithm for solving this problem is designed. An estimate for convergence rate is presented. The algorithm is stable with respect to informational noises and computational errors. It is based on the combination of the feedback control method and the method of smoothing functional well-known in the theory of ill-posed problems. The algorithm suggested in the paper is applied to solve tracking control problems. Results of a numerical experiment are discussed." @default.
- W4320502246 created "2023-02-14" @default.
- W4320502246 creator A5016732650 @default.
- W4320502246 date "2023-01-01" @default.
- W4320502246 modified "2023-10-14" @default.
- W4320502246 title "On stable solutions of the dynamical reconstruction and tracking control problems for a coupled ordinary differential equation–heat equation" @default.
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- W4320502246 doi "https://doi.org/10.3934/mcrf.2023005" @default.
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