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Published in:
2006 | OriginalPaper | Chapter
L1—Optimal Boundary Control of a String to Rest in Finite Time
Author : Martin Gugat
Published in: Recent Advances in Optimization
Publisher: Springer Berlin Heidelberg
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In this paper, 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 is considered. The corresponding optimal control problem where the objective function is the
L
l
-norm of the controls is solved in the sense that the controls that are successful and minimize at the same time the objective function are determined as functions of the initial state.