Optimal Control of the Propagation of a Graph in Inhomogeneous Media
نویسندگان
چکیده
We study an optimal control problem for viscosity solutions of a Hamilton-Jacobi equation describing the propagation of a one dimensional graph with the control being the speed function. The existence of an optimal control is proved together with an approximate controllability result in the H−1 norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 48 شماره
صفحات -
تاریخ انتشار 2009