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Zbl 1228.93101
Li, Wuquan; Xie, Xue-Jun; Zhang, Siying
Output-feedback stabilization of stochastic high-order nonlinear systems under weaker conditions. (English)
[J] SIAM J. Control Optim. 49, No. 3, 1262-1282 (2011). ISSN 0363-0129; ISSN 1095-7138/e

Summary: Under the weaker conditions on the power order and the nonlinear functions, this paper investigates the output-feedback stabilization problem for a class of stochastic high-order nonlinear systems. Based on the backstepping design method and homogeneous domination technique, the closed-loop system can be proved to be globally asymptotically stable in probability.

MSC 2000:: *93D15 Stabilization of systems by feedback
93D20 Asymptotic stability of control systems
93E03 General theory of stochastic systems

Keywords: stochastic high-order nonlinear systems; output-feedback stabilization; power order restriction; nonlinear growth condition

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