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Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities
Author(s) -
Gao Fangzheng,
Wu Yuqiang,
Liu Yanhong
Publication year - 2018
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.4078
Subject(s) - control theory (sociology) , nonlinear system , integrator , class (philosophy) , lyapunov function , mathematics , controller (irrigation) , stability (learning theory) , state (computer science) , computer science , control (management) , algorithm , computer network , physics , bandwidth (computing) , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Summary This paper studies the finite‐time stabilizing control problem for a class of switched stochastic nonlinear systems (SSNSs) in p ‐normal form. The switched systems under consideration possess the powers of different positive rational numbers and the dead‐zone input nonlinearities. Based on the improving finite‐time stability theorem for SSNSs established in this paper, a general framework to address common state feedback for SSNSs is developed by adopting the common Lyapunov function–based adding a power integrator technique. It is proved that the proposed controller renders the trivial solution of the closed‐loop system uniformly finite‐time stable in probability under arbitrary switchings . Finally, simulation results are given to confirm the validity of the proposed approach.