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Zbl 1194.93213
Tian, J.; Xie, X.-J.
Adaptive state-feedback stabilization for high-order stochastic non-linear systems with uncertain control coefficients. (English)
[J] Int. J. Control 80, No. 9, 1503-1516 (2007). ISSN 0020-7179; ISSN 1366-5820/e

Summary: This paper investigates the adaptive state-feedback stabilization problem for a class of high-order stochastic non-linear systems with unknown lower and supper bounds for uncertain control coefficients. Under some weaker and reasonable assumptions, a smooth adaptive state-feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution on [$0,\infty $, the equilibrium of interest is globally stable in probability and the states can be regulated to the origin almost surely. A simulation example is given to show the systematic design and effectiveness of the controller.

MSC 2000:: *93E15 Stochastic stability
93D15 Stabilization of systems by feedback

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Zentralblatt MATH Berlin [Germany]