Graphs, Maneuvers and Turnpikes

Abstract, classic, and explicit turnpikes

Classic, and Explicit Turnpikes Paolo Guasoni · Constantinos Kardaras · Scott Robertson · Hao Xing Received: date / Accepted: date Abstract Portfolio turnpikes state that, as the investment horizon increases, optimal portfolios for generic utilities converge to those of isoelastic utilities. This paper proves three kinds of turnpikes. In a general semimartingale setting, the abstract turnpike s...

Turnpikes or Freeways?

Graph Rigidity and Distributed Formation Stabilization of Multi-Vehicle Systems

In this paper, we provide a graph theoretical framework that allows us to formally define formations of multiple vehicles and the issues arising in graph realizations and unicity and their connections to stability of formations. The notion of graph rigidity is crucial in identifying the shape variables of a formation. This eventually leads to tools for formation stabilization, tacking, and form...

Hybrid Geodesics as Optimal Solutions to the Collision-Free Motion Planning Problem

In this paper we address the problem of designing energy minimizing collision-free maneuvers for multiple agents moving on a plane. We show that the problem is equivalent to that of finding the shortest geodesic in a certain manifold with nonsmooth boundary. This allows us to prove that the optimal maneuvers are C by introducing the concept of u-convex manifolds. Moreover, due to the nature of ...

High-performance three-dimensional maneuvers control in the area of spacecraft

Contemporary research is improving techniques to maneuvers control in the area of spacecraft. In the aspect of further development of investigations, a high-performance strategy of maneuvers control is proposed in the present research to be applicable to deal with a class of the aforementioned spacecrafts. In a word, the main subject behind the research is to realize a high-performance three-di...