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The Generalized Bang‐Bang‐Principle and the Numerical Solution of a Parabolic Boundary‐Control Problem with Constraints on the Control and the State
Author(s) -
Tröltzsch F.
Publication year - 1984
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19840641218
Subject(s) - bang–bang control , boundary (topology) , mathematics , optimal control , control (management) , maximum principle , state (computer science) , boundary value problem , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , algorithm , artificial intelligence
In this paper a numerical method is presented to solve a state‐constrained parabolic boundary control problem. The optimization technique is based on generalized bang‐bang‐properties of the optimal control, which were proved in earlier papers of the author. The effectivity of the corresponding algorithm is demonstrated by means of two examples, which were solved with high accuracy.