Optimal control of Goursat systems in irregular domains
نویسنده
چکیده
We report a new type of Hamiltonian equations and maximum principle for the optimal control of a Goursat system when the underlying domain of 2-D "time" is not rectangular and has non-smooth boundary. The resulting Hamiltonian equations form a system of impulsive hyperbolic partial differential equations, with the impulses induced by the conditions on the costate at points of discontinuity on the boundary of the domain. This type of Hamiltonian equations has no counterpart in either control of ODEs or in control of hyperbolic problems in a rectangular domain or in a domain with smooth boundary.
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