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A Tool for the Global Stabilization of Stochastic Nonlinear Systems

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This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment… Click to show full abstract

This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. A numerical example is given to illustrate the effectiveness of the proposed method.

Keywords: stochastic nonlinear; nonlinear systems; tool global; stabilization stochastic; global stabilization

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2017

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