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Here we discuss a variant of the nonsmooth maximum principle for optimal control problems
with both pure state and mixed state and control constraints. Such result
includes a Weierstrass condition together with an Euler adjoint inclusion involving the joint
subdifferentials with respect to both state and control, generalizing previous results. This is accomplished with the help of well known penalization techniques for state constrained problem together with an appeal to a recent nonsmooth maximum principle for problems with mixed constraints.An important feature of our result is the bounded slope condition. Of particular interest is our discussion on
the applicability of the main results done with some examples. |
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