Generalized Control Systems in the Space of Probability Measures
Sign Up to like & getrecommendations! Published in 2018 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0414-y
Abstract: In this paper we formulate a time-optimal control problem in the space of probability measures. The main motivation is to face situations in finite-dimensional control systems evolving deterministically where the initial position of the controlled… read more here.
Keywords: space probability; control systems; probability; probability measures ... See more keywords
Lebesgue decomposition of probability measures:Applications to equivalence, singularity and kriging
Sign Up to like & getrecommendations! Published in 2018 at "Expositiones Mathematicae"
DOI: 10.1016/j.exmath.2018.06.006
Abstract: Abstract We use Lebesgue decomposition of two probability measures on a measurable space to obtain conditions for their equivalence and singularity in terms of the density of the absolutely continuous part of one probability measure… read more here.
Keywords: equivalence singularity; probability measures; probability; lebesgue decomposition ... See more keywords
Finitely additive mixtures of probability measures
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125114
Abstract: Abstract Let D be a linear space of real bounded functions and P : D → R a coherent functional. Also, let Q be a collection of coherent functionals on D. Under mild conditions, there… read more here.
Keywords: finitely additive; additive mixtures; mixtures probability; probability measures ... See more keywords
Observers and relative entropy of G-sets
Sign Up to like & getrecommendations! Published in 2020 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-020-00472-y
Abstract: In the current study, a new type of relative entropy is presented through observable objects in quantum mechanics as the probability measures. The relative probability measures as an extension of probability measures are considered via… read more here.
Keywords: probability measures; entropy; entropy sets; relative entropy ... See more keywords