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State‐feedback stabilization for a class of stochastic time‐delay nonlinear systems
Author(s) -
Chen Weisheng,
Wu Jian,
Jiao L.C.
Publication year - 2011
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1798
Subject(s) - integrator , control theory (sociology) , linearization , nonlinear system , feedback linearization , class (philosophy) , computer science , full state feedback , state (computer science) , perturbation (astronomy) , mathematics , control (management) , algorithm , computer network , physics , bandwidth (computing) , quantum mechanics , artificial intelligence
SUMMARY This paper investigates the problem of state‐feedback stabilization for a class of lower‐triangular stochastic time‐delay nonlinear systems without controllable linearization. By extending the adding‐a‐power‐integrator technique to the stochastic time‐delay systems, a state‐feedback controller is explicitly constructed such that the origin of closed‐loop system is globally asymptotically stable in probability. The main design difficulty is to deal with the uncontrollable linearization and the nonsmooth system perturbation, which, under some appropriate assumptions, can be solved by using the adding‐a‐power‐integrator technique. Two simulation examples are given to illustrate the effectiveness of the control algorithm proposed in this paper.Copyright © 2011 John Wiley & Sons, Ltd.