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2007
134views Robotics» more  RSS 2007»
13 years 6 months ago
A Discrete Geometric Optimal Control Framework for Systems with Symmetries
— This paper studies the optimal motion control of mechanical systems through a discrete geometric approach. At the core of our formulation is a discrete Lagrange-d’AlembertPon...
Marin Kobilarov, Mathieu Desbrun, Jerrold E. Marsd...
HYBRID
2007
Springer
13 years 11 months ago
Groupoids in Control Systems and the Reachability Problem for a Class of Quantized Control Systems with Nonabelian Symmetries
The aim of this paper is twofold. On one hand we present an approach to the general problem of nonlinear control in the framework of (differentiable) groupoids, which, in our opin...
Alessandro Arsie, Emilio Frazzoli
HYBRID
2007
Springer
13 years 8 months ago
A Hybrid Bellman Equation for Bimodal Systems
Abstract. In this paper we present a dynamic programming formulation of a hybrid optimal control problem for bimodal systems with regional dynamics. In particular, based on optimal...
Peter E. Caines, Magnus Egerstedt, Roland P. Malha...
ALENEX
2008
180views Algorithms» more  ALENEX 2008»
13 years 6 months ago
Geometric Algorithms for Optimal Airspace Design and Air Traffic Controller Workload Balancing
The National Airspace System (NAS) is designed to accommodate a large number of flights over North America. For purposes of workload limitations for air traffic controllers, the a...
Amitabh Basu, Joseph S. B. Mitchell, Girishkumar S...
AUTOMATICA
2008
134views more  AUTOMATICA 2008»
13 years 5 months ago
Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems
In this work, probabilistic reachability over a finite horizon is investigated for a class of discrete time stochastic hybrid systems with control inputs. A suitable embedding of ...
Alessandro Abate, Maria Prandini, John Lygeros, Sh...