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L1—Optimal Boundary Control of a String to Rest in Finite Time

In: Recent Advances in Optimization

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  • Martin Gugat

    (Lehrstuhl 2 für Angewandte Mathematik)

Abstract

Summary 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 Ll-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.

Suggested Citation

  • Martin Gugat, 2006. "L1—Optimal Boundary Control of a String to Rest in Finite Time," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 149-162, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-28258-7_10
    DOI: 10.1007/3-540-28258-0_10
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