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Razumikhin‐type approach on state feedback of stochastic high‐order nonlinear systems with time‐varying delay
Author(s) -
Wang Tiancheng,
Luo Xiaoxia,
Li Wuquan
Publication year - 2017
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.3730
Subject(s) - backstepping , control theory (sociology) , nonlinear system , controller (irrigation) , state (computer science) , full state feedback , type (biology) , class (philosophy) , computer science , mathematics , mathematical optimization , control (management) , adaptive control , algorithm , artificial intelligence , ecology , physics , quantum mechanics , biology , agronomy
Summary The Razumikhin‐type approach is introduced to solve the state feedback stabilization problem for a class of stochastic high‐order nonlinear systems with time‐varying delay. Based on the general Razumikhin‐type theorem on stochastic systems established in our paper and backstepping design method, a state feedback controller is constructed to ensure the origin of closed‐loop system is globally asymptotically stable in probability. Our methodology enables us to completely remove the limitations on the derivative of delay, which is the common assumption of stochastic high‐order nonlinear systems with time‐varying delay. The efficiency of the state feedback controller is demonstrated by simulation examples. Copyright © 2017 John Wiley & Sons, Ltd.