Risk-sensitive control of stochastic hybrid systems on infinite time horizon.
Runolfsson, Thordur (2000)
Mathematical Problems in Engineering
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Runolfsson, Thordur (2000)
Mathematical Problems in Engineering
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Pascal, Jesús A., Galindez, Cecilia (2005)
Divulgaciones Matemáticas
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Vivek Borkar (2000)
Applicationes Mathematicae
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The problem of minimizing the ergodic or time-averaged cost for a controlled diffusion with partial observations can be recast as an equivalent control problem for the associated nonlinear filter. In analogy with the completely observed case, one may seek the value function for this problem as the vanishing discount limit of value functions for the associated discounted cost problems. This passage is justified here for the scalar case under a stability hypothesis, leading in particular...
Grigorieva, Ellina V., Khailov, Evgenii N. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Walter Alt (2003)
Control and Cybernetics
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Saebi, Nasrollah (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ocone, Daniel, Weerasinghe, Ananda (2003)
Electronic Journal of Probability [electronic only]
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M. Delgado-Téllez, Alberto Ibort Latre (2003)
Extracta Mathematicae
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Onésimo Hernández-Lerma, Oscar Vega-Amaya (1998)
Applicationes Mathematicae
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We consider discrete-time Markov control processes on Borel spaces and infinite-horizon undiscounted cost criteria which are sensitive to the growth rate of finite-horizon costs. These criteria include, at one extreme, the grossly underselective average cost
Zdzisław Denkowski, Stanisław Migórski, Anna Ochal (2007)
Control and Cybernetics
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Dorroh, J. R., Ferreyra, G., Pascal, J. (2001)
Divulgaciones Matemáticas
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Alain Ajami, Jean-Paul Gauthier, Thibault Maillot, Ulysse Serres (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is devoted to the general problem of reconstructing the cost from the observation of trajectories, in a problem of optimal control. It is motivated by the following applied problem, concerning HALE drones: one would like them to decide by themselves for their trajectories, and to behave at least as a good human pilot. This applied question is very similar to the problem of determining what is minimized in human locomotion. These starting points are the reasons for the particular...