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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© 1976 Springer-Verlag Berlin Heidelberg
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Maurer, H. (1976). On optimal control problems with bounded state variables and control appearing linearly. In: Cea, J. (eds) Optimization Techniques Modeling and Optimization in the Service of Man Part 2. Optimization Techniques 1975. Lecture Notes in Computer Science, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07623-9_310
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DOI: https://doi.org/10.1007/3-540-07623-9_310
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