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Licensed Unlicensed Requires Authentication Published by De Gruyter 2022

2 Pointwise moving control for the 1-D wave equation

From the book Optimization and Control for Partial Differential Equations

  • Arthur Bottois


We consider the exact null controllability of the 1-D wave equation with an interior pointwise control acting on a moving point (γ(t))t∈[0,T]. We approximate a control of minimal norm through a mixed formulation solved by using a conformal spacetime finite element method. We then introduce a gradient-type approach to optimize the trajectory γ of the control point. Several experiments are discussed.

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