Variational integrators for non-autonomous Lagrangian systems

Collision Avoidance of Multiagent Systems on Riemannian Manifolds

“…Dimensionality reduction for large scale systems has become an active problem of interest within the automatic control and robotics communities. In large robotic swarms, guidance and trajectory planning algorithms for coordination while optimizing qualitative features for the swarm of multiple robots are determined by solutions of nonlinear equations which demand a high-computational costs along its integration [6]. The construction of methods for reduction of dimensionality permits fast computations for the generation of optimal trajectories [8].…”