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» Discrete Hamilton-Jacobi theory and discrete optimal control
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CDC
2010
IEEE
119views Control Systems» more  CDC 2010»
13 years 23 days ago
Discrete Hamilton-Jacobi theory and discrete optimal control
We develop a discrete analogue of Hamilton
Tomoki Ohsawa, Anthony M. Bloch, Melvin Leok
CORR
2010
Springer
127views Education» more  CORR 2010»
13 years 5 months ago
Mean field for Markov Decision Processes: from Discrete to Continuous Optimization
We study the convergence of Markov Decision Processes made of a large number of objects to optimization problems on ordinary differential equations (ODE). We show that the optimal...
Nicolas Gast, Bruno Gaujal, Jean-Yves Le Boudec
ICRA
2010
IEEE
134views Robotics» more  ICRA 2010»
13 years 4 months ago
Design of guaranteed safe maneuvers using reachable sets: Autonomous quadrotor aerobatics in theory and practice
— For many applications, the control of a complex nonlinear system can be made easier by modeling the system as a collection of simplified hybrid modes, each representing a part...
Jeremy H. Gillula, Haomiao Huang, Michael P. Vitus...
HYBRID
2005
Springer
13 years 11 months ago
Adjoint-Based Optimal Control of the Expected Exit Time for Stochastic Hybrid Systems
Abstract. In this paper, we study the problem of controlling the expected exit time from a region for a class of stochastic hybrid systems. That is, we find the least costly feedb...
Robin L. Raffard, Jianghai Hu, Claire Tomlin
STACS
1997
Springer
13 years 10 months ago
Methods and Applications of (MAX, +) Linear Algebra
Exotic semirings such as the “(max, +) semiring” (R ∪ {−∞}, max, +), or the “tropical semiring” (N ∪ {+∞}, min, +), have been invented and reinvented many times s...
Stephane Gaubert, Max Plus