Short communications on the existence of touch points for first-order state inequality constraints |
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Authors: | Hans Seywald Eugene M Cliff |
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Abstract: | The appearance of touch points in state-constrained optimal control problems with general vector-valued control is studied. Under the assumption that the Hamiltonian is regular, touch points for first-order state inequalities are shown to exist only under very special conditions. In many cases of practical importance these conditions can be used to exclude touch points a priori without solving an optimal control problem. The results are demonstrated on a simple example. |
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Keywords: | optimal control first-order state constraints touch points optimality conditions |
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