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Stochastic Analysis and Applications Volume 11, 1993 - Issue 2
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Original Articles

A universal formula for the stabilization of control stochastic differential equations

Patrick Florchinger D”parternent de Math”rnatiques, Universit” de Metz., URA CNRS No 399, Ile du Saulcy, Metz Cedex, F57045, FranceUFR MIM; INRIA Lorraine, Project Congé, CESCOTM, Technopole de Metz 2000, 4 Rue Marconi, Metz, F57070, France
Pages 155-162 | Published online: 03 Apr 2007

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Patrick Florchinger. (2022) A Jurdjevic-Quinn theorem for nonlinear stochastic systems. Stochastic Analysis and Applications 40:3, pages 561-571.
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Ze-Hao Wu & Bao-Zhu Guo. (2020) Active disturbance rejection control to MIMO nonlinear systems with stochastic uncertainties: approximate decoupling and output-feedback stabilisation. International Journal of Control 93:6, pages 1408-1427.
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Ze-Hao Wu & Bao-Zhu Guo. (2019) On convergence of active disturbance rejection control for a class of uncertain stochastic nonlinear systems. International Journal of Control 92:5, pages 1103-1116.
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Patrick Florchinger. (2016) A universal design of Freeman's formula for the stabilization of stochastic systems. Stochastic Analysis and Applications 34:1, pages 137-146.
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Jun-yong Zhai & Hai-bo Du. (2014) Global output feedback stabilisation for a class of upper triangular stochastic nonlinear systems. International Journal of Control 87:10, pages 2106-2117.
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Fakhreddin Abedi, Malik Abu Hassan & Mohammed Suleiman. (2011) Feedback stabilization and adaptive stabilization of stochastic nonlinear systems by the control Lyapunov function. Stochastics 83:2, pages 179-201.
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Z.-J. Wu, X.-J. Xie & S.-Y. Zhang. (2006) Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function. International Journal of Control 79:12, pages 1635-1646.
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Patrick Florchinger & Erik I. Verriest. (2000) Application of stochastic artsteins theorem to feedback stablization. Stochastic Analysis and Applications 18:3, pages 361-373.
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Patrick Florchinger. (1998) New results on universal formulas for the stabilization of stochastic differential systems. Stochastic Analysis and Applications 16:2, pages 233-240.
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Christophe Boulanger. (1998) Feedback stabilization of nonlinear stochastic systems by locally bounded controls. Stochastic Analysis and Applications 16:1, pages 17-27.
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Patrick Florchinger. (1996) On the stabilization of interconnected stochastic systems. Stochastic Analysis and Applications 14:4, pages 383-391.
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Patrick Florchinger. (1994) Feedback stabilization of stochastic bilinear systems and of some nonlinear stochastic systems. Stochastic Analysis and Applications 12:5, pages 527-541.
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Patrick Florchinger. (1994) A stochastic version of Jurdjevic–Quinn theorem. Stochastic Analysis and Applications 12:4, pages 473-480.
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P. Florchinger. (1995) A new decomposition method for stochastic dynamic stabilization. Computers & Mathematics with Applications 29:3, pages 31-36.
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Patrick Florchinger, Abderrahman Iggidr & Gauthier Sallet. (1994) Stabilization of a class of nonlinear stochastic systems. Stochastic Processes and their Applications 50:2, pages 235-243.
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