Optimal control of a nonlinearly viscoelastic rod
نویسندگان
چکیده
We consider some typical optimal control problems for a nonlinear model of longitudinal vibrations in a viscoelastic rod. In trying to follow the usual pattern of showing that every innmizing sequence of controls contains a subsequence suitably converging to an optimal control, we confront the severe technical diiculty that the constitutive function cannot be uniformly Lipschitzian in its arguments | e.g., it blows up at a `to-tal compression.' One needs to make careful use of the structure of the system to overcome this diiculty.
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