We study a class of optimization problems of Mayer form, for the strictly hyperbolic nonlinear controlled system of conservation laws $u_t+\big[ F(u)\big]_x=h(t,x,u,z)$, where $z=z(t,x)$ is the control variable. Introducing a family of ``generalized cotangent vectors", we derive necessary conditions for a solution $\hat u$ to be optimal, stated in the form of a Maximum Principle.
A maximum principle for optimally controlled systems of conservation laws
MARSON, ANDREA
1995
Abstract
We study a class of optimization problems of Mayer form, for the strictly hyperbolic nonlinear controlled system of conservation laws $u_t+\big[ F(u)\big]_x=h(t,x,u,z)$, where $z=z(t,x)$ is the control variable. Introducing a family of ``generalized cotangent vectors", we derive necessary conditions for a solution $\hat u$ to be optimal, stated in the form of a Maximum Principle.File in questo prodotto:
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