On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem
نویسندگان
چکیده
Time optimal control of the wave equation is analyzed on the basis of a regularized formulation which is considered as a bilevel optimization problem. For the lower level problems, which are constrained optimal control problems for the wave equation, a detailed sensitivity analysis is carried out. Further a semi-smooth Newton method is analyzed and proved to converge locally superlinearly. Numerical examples are provided.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 51 شماره
صفحات -
تاریخ انتشار 2013