Optimal transportation for a quadratic cost with convex constraints and applications
β Scribed by C. Jimenez; F. Santambrogio
- Book ID
- 116731059
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 178 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0021-7824
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Consider a network in which a commodity #ows at a variable rate across the arcs in order to meet supply/demand at the nodes. The aim is to optimally control the rate of #ow such that a convex objective functional is minimized. This is an optimal control problem with a large number of states, and wit
We derive closed-form solutions for the linear-quadratic (LQ) optimal control problem subject to integral quadratic constraints. The optimal control is a non-linear function of the current state and the initial state. Furthermore, the optimal control is easily calculated by solving an unconstrained