4.7 Article

Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay

Journal

AUTOMATICA
Volume 50, Issue 1, Pages 203-210

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2013.09.044

Keywords

Stochastic high-order feedforward systems; Time-varying delay; State feedback; Homogeneous domination method

Funding

  1. Program for the Scientific Research Innovation Team in Colleges and Universities of Shandong Province
  2. National Natural Science Foundation of China [61273125]
  3. Specialized Research Fund for the Doctoral Program of Higher Education [20103705110002]
  4. Shandong Provincial Natural Science Foundation of China [ZR2012FM018]
  5. Project of Taishan Scholar of Shandong Province

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In this paper, we consider the problem of global stabilization for a class of stochastic high-order feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination design method and constructing the appropriate Lyapunov-Krasovskii functional, a state feedback controller is constructed to drive the closed-loop system to be globally asymptotically stable in probability. (C) 2013 Elsevier Ltd. All rights reserved.

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