Sládeček, Ladislav Exact linearization of stochastic dynamical systems by state space coordinate transformation and feedback. II: \(g\sigma\)-linearization. (English) Zbl 1033.93010 Appl. Math. E-Notes 3, 107-114 (2003). This is the continuation of Part I (see the review above), both parts being devoted to the exact linearization of dynamical systems. The exact linearization involves a coordinate transformation of the state variable and a feedback transformation of the control function which will make the system linear and controllable. In this paper the author analyzes the case of Stratonovich \(g\)-linearization, and the results are illustrated with a numerical example, namely, the control of a crane under the influence of noise. Reviewer: Constantin Vârsan (Bucureşti) MSC: 93B18 Linearizations 93E03 Stochastic systems in control theory (general) 93B17 Transformations Keywords:stochastic systems; Stratonovich standpoint; exact linearization; coordinate transformation; \(g\)-linearization Citations:Zbl 1033.93008 PDFBibTeX XMLCite \textit{L. Sládeček}, Appl. Math. E-Notes 3, 107--114 (2003; Zbl 1033.93010) Full Text: EuDML EMIS