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Article

Title: A numerical method for the solution of the nonlinear observer problem (English)
Author: Rehák, Branislav
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 21-26, 2020
Issue: 2020
Year:
Pages: 110-119
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Category: math
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Summary: The central part in the process of solving the observer problem for nonlinear systems is to find a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example is provided. (English)
Keyword: finite element method
Keyword: observer
Keyword: partial differential equation
MSC: 35F05
MSC: 65N30
MSC: 93B51
MSC: 93C15
DOI: 10.21136/panm.2020.11
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Date available: 2021-05-05T13:41:46Z
Last updated: 2023-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/703106
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