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On optimal control problems with bounded state variables and control appearing linearly

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1976) 41 LNCS 555-559
DOI: 10.1007/3-540-07623-9_310
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Abstract

Necessary conditions for the junction of interior arcs and boundary arcs of an optimal control are given. These conditions are based on necessary conditions for the switching function holding at junction points or contact points with the state boundary. The junction theorems obtained are similar to junction theorems in singular control problems.

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Maurer, H. (1976). On optimal control problems with bounded state variables and control appearing linearly. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 41 LNCS, pp. 555–559). Springer Verlag. https://doi.org/10.1007/3-540-07623-9_310

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