@inbook{7afea24ffafb495c8919544f00a3f416,

title = "Stochastic Control Systems",

abstract = "The concept of a stochastic control system is defined as a map from a tuple of the current state and the current input to the conditional probability distribution of the tuple of the next state and the current output. A Gaussian stochastic control system representation is defined which represents such a stochastic system. Stochastic controllability is defined as the property that there exists an input trajectory such that the probability distribution of a future state equals a prespecified particular probability distribution. A characterization of stochastic controllability of a Gaussian stochastic control system is provided.",

keywords = "Stochastic control system, Stochastic controllability",

author = "{van Schuppen}, {Jan H.}",

year = "2021",

doi = "10.1007/978-3-030-66952-2_10",

language = "English",

series = "Communications and Control Engineering",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "375--397",

editor = "{van Schuppen}, J.H.",

booktitle = "Control and System Theory of Discrete-Time Stochastic Systems",

address = "Germany",

}