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Adaptive Output Feedback Control for a Class of Stochastic Nonlinear Systems with SiISS Inverse Dynamics

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  • Na Duan
  • Hai-Kuan Liu

Abstract

The adaptive stabilization scheme based on tuning function for stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics is investigated. By combining the stochastic LaSalle theorem and small-gain type conditions on SiISS, an adaptive output feedback controller is constructively designed. It is shown that all the closed-loop signals are bounded almost surely and the stochastic closed-loop system is globally stable in probability.

Suggested Citation

  • Na Duan & Hai-Kuan Liu, 2012. "Adaptive Output Feedback Control for a Class of Stochastic Nonlinear Systems with SiISS Inverse Dynamics," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-15, February.
    • Handle: RePEc:hin:jnlmpe:673878
    DOI: 10.1155/2012/673878
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