Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 182, Issue 2, Pages 439-472Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-019-01521-y
Keywords
Optimal control; Sweeping process; Variational analysis; Discrete approximations; Necessary optimality conditions; Robotics; Traffic flows
Funding
- USA National Science Foundation [DMS-1512846, DMS-1808978]
- USA Air Force Office of Scientific Research [15RT0462]
- Australian Research Council [DP-190100555]
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The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one concerns control and optimization of traffic flows. Describing these models as controlled sweeping processes with pointwise/hard control and state constraints and applying new necessary optimality conditions for such systems allow us to develop efficient procedures to solve naturally formulated optimal control problems for the models under consideration and completely calculate optimal solutions in particular situations.
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