4.6 Article

OUTPUT-FEEDBACK STABILIZATION OF STOCHASTIC HIGH-ORDER NONLINEAR SYSTEMS UNDER WEAKER CONDITIONS

Journal

SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 49, Issue 3, Pages 1262-1282

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/100798259

Keywords

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

Funding

  1. National Natural Science Foundation of China [60774010, 10971256]
  2. Specialized Research Fund for the Doctoral Program of Higher Education [20103705110002]
  3. Natural Science Foundation of Jiangsu Province [BK2009083]
  4. Shandong Provincial Natural Science Foundation of China [ZR2009GM008, ZR2009AL014]

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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.

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