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On controllability for stochastic control systems when the coefficient is time-variant
Authors:Feng Liu  Shige Peng
Institution:1.School of Electronics and Information Engineering,Beijing Jiaotong University,Beijing,China;2.School of Mathematics and System Sciences,Shandong University,Ji’nan,China
Abstract:This paper investigates the controllability problem of time-variant linear stochastic control systems. A sufficient and necessary condition is established for stochastic exact controllability, which provides a useful algebraic criterion for stochastic control systems. Furthermore, when the stochastic systems degenerate to deterministic systems, the algebraic criterion becomes the counterpart for the complete controllability of deterministic control systems.
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