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Optimal boundary control of a string to rest in finite time with continuous state
Author(s) -
Gugat M.
Publication year - 2006
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.200410236
Subject(s) - rest (music) , state (computer science) , boundary (topology) , string (physics) , mathematics , optimal control , norm (philosophy) , function (biology) , control (management) , control function , boundary value problem , control theory (sociology) , mathematical analysis , computer science , mathematical optimization , physics , algorithm , mathematical physics , evolutionary biology , artificial intelligence , political science , acoustics , law , biology
The problem to control a finite string to the zero state in finite time from a given initial state by controlling the state at the two boundary points in such a way that the controls generate a continuous state is considered. The corresponding optimal control problem where the objective function is the L 2 norm of the derivatives of the controls is solved explicitly in the sense that controls that are successful and minimize at the same time the objective function are determined as functions of the initial state.