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• W2288395719 abstract "In this paper we propose definitions of equivalence via stochastic bisimulation and of equivalence of stochastic external behavior for the class of discrete-time stochastic nonlinear control systems with possibly degenerate distributed disturbances. The notions are inspired by the analogue notions that exist for probabilistic chains and for behavioral systems, respectively. Connections between the two notions and also with stochastic reachability are discussed. For the subclass of discrete-time stochastic linear control systems with multivariate possibly degenerate normal distributed disturbances, geometric necessary and sufficient conditions for checking stochastic bisimulation equivalence and stochastic external behavior equivalence are derived. The proposed results nicely extend the theory of bisimulation equivalence and equivalence of external behavior known for non-deterministic control systems to a stochastic setting." @default.
• W2288395719 created "2016-06-24" @default.
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• W2288395719 date "2015-12-01" @default.
• W2288395719 modified "2023-09-26" @default.
• W2288395719 title "On equivalence notions for discrete-time stochastic control systems" @default.
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• W2288395719 doi "https://doi.org/10.1109/cdc.2015.7402371" @default.
• W2288395719 hasPublicationYear "2015" @default.
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