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CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
13 years 11 months ago
Motion planning for nonlinear systems using hybridizations and robust controllers on simplices
— In this paper, we consider a motion planning problem for a class of constrained nonlinear systems. In each simplex of a triangulation of the set of states, the nonlinear dynami...
Antoine Girard, Samuel Martin
CDC
2010
IEEE
170views Control Systems» more  CDC 2010»
12 years 12 months ago
Motion planning with hybrid dynamics and temporal goals
In this paper, we consider the problem of motion planning for mobile robots with nonlinear hybrid dynamics, and high-level temporal goals. We use a multi-layered synergistic framew...
Amit Bhatia, Lydia E. Kavraki, Moshe Y. Vardi
CDC
2010
IEEE
119views Control Systems» more  CDC 2010»
12 years 12 months ago
Motion planning in quantum control via intersection of eigenvalues
In this paper we consider the problem of inducing a transition in a controlled quantum mechanical system whose spectrum loses simplicity for some values of the control. We study th...
Ugo V. Boscain, Francesca C. Chittaro, Paolo Mason...
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
IJRR
2010
132views more  IJRR 2010»
13 years 2 months ago
LQR-trees: Feedback Motion Planning via Sums-of-Squares Verification
Advances in the direct computation of Lyapunov functions using convex optimization make it possible to efficiently evaluate regions of attraction for smooth nonlinear systems. Her...
Russ Tedrake, Ian R. Manchester, Mark Tobenkin, Jo...