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Zbl 1222.93230
Duan, Na; Yu, Xin; Xie, Xue-Jun
Output feedback control using small-gain conditions for stochastic nonlinear systems with SiISS inverse dynamics. (English)
[J] Int. J. Control 84, No. 1, 47-56 (2011). ISSN 0020-7179; ISSN 1366-5820/e

Summary: This article further discusses output feedback control for stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics. Based on the stochastic LaSalle theorem and small-gain type conditions on SiISS, an output feedback controller using the backstepping method is constructively designed to guarantee that all the closed-loop signals are bounded almost surely and the stochastic closed-loop system is globally asymptotically stable in probability.

MSC 2000:: *93E15 Stochastic stability
93B52 Feedback control
93C10 Nonlinear control systems

Keywords: stochastic nonlinear systems; SiISS inverse dynamics; stochastic LaSalle theorem; small-gain type conditions; output feedback control

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