On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly
- 1 May 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 15 (3), 345-362
- https://doi.org/10.1137/0315023
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.Keywords
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