Webdetermine the optimal trajectory of each agent using an optimal transport based approach so that the swarm density distribution converges to the desired formation. The flowchart for the algorithm is shown in Fig. 2 and its pseudo code is given in Algorithm 1. In step 1, each agent determines its present location, as discussed in Section II-A. WebMay 3, 2024 · These intertwined topics of optimal transport, stochastic control, and inference are the subject of this review, which aims to highlight connections, insights, and …
[2004.06909] Multi-marginal Optimal Transport with a Tree …
WebWe focus on developing advanced algorithms and analytical methods to design next-generation autonomous systems operating in uncertain dynamic environments. We … WebThe integrated motorway network traffic control problem involving ramp metering and VSL control measures is formulated as a constrained discrete-time optimal control problem and is solved efficiently even for large-scale networks by a suitable feasible direction algorithm. the joe meek productions
Optimal Control and Optimal Transport - University of …
WebDec 18, 2009 · In this thesis we explore some uses of optimal control and mass transport in economic modeling. We thus catch the opportunity to bring together some works … WebNov 23, 2024 · The explicit solution of given by \(z(x,t)=u(x-\frac {1}{\lambda } t)\) is well-known (note the boundary control instead of controlling the initial state).As in real-life often more complex dynamics than a pure advection occur (see e.g. [1, 2]), our goal is to set up a more general stochastic optimal control framework.For simplicity, we start our … WebThe optimal transport problem has recently developed into a powerful framework for various applications in estimation and control. Many of the recent advances in the theory and application of optimal transport are based on regularizing the problem with an entropy term, which connects it to the Schrödinger bridge problem and thus to stochastic optimal … the joe knoxville