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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»
10 years 8 months 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»
11 years 1 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»
10 years 12 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
11 years 7 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
11 years 5 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
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