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Further results on state feedback stabilization of stochastic high-order nonlinear systems

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Abstract

In this paper, a combined homogeneous domination and sign function design approach is presented to state feedback control for a class of stochastic high-order nonlinear systems with time-varying delay. The use of the combined approach relaxes the restriction on nonlinear functions and makes the closed-loop system globally asymptotically stable in probability.

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Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Qufu, 273165, China

    XueJun Xie & CongRan Zhao

  2. School of Electrical Engineering & Automation, Jiangsu Normal University, Xuzhou, 221116, China

    Na Duan

Authors
  1. XueJun Xie
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  2. CongRan Zhao
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  3. Na Duan
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Correspondence to XueJun Xie.

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Xie, X., Zhao, C. & Duan, N. Further results on state feedback stabilization of stochastic high-order nonlinear systems. Sci. China Inf. Sci. 57, 1–14 (2014). https://doi.org/10.1007/s11432-013-5056-6

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  • DOI: https://doi.org/10.1007/s11432-013-5056-6

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