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Zbl 0913.93067
Tsinias, J.
The concept of `exponential input to state stability' for stochastic systems and applications to feedback stabilization.
(English)
[J] Syst. Control Lett. 36, No.3, 221-229 (1999). ISSN 0167-6911

Summary: This paper presents a version of Sontag's well-known `input-to-state-stability' property for stochastic systems. This concept is used to derive sufficient conditions for global stabilization for a certain class of stochastic nonlinear systems by means of static and dynamic output feedback.
MSC 2000:
*93D25 Input-output approaches to stability of control systems
93E15 Stochastic stability
93C10 Nonlinear control systems
93B52 Feedback control
93D15 Stabilization of systems by feedback

Keywords: input-to-state-stability; stochastic nonlinear systems; dynamic output feedback; global stabilization

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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