Journal of South China University of Technology(Natural Science) >
Impulsive Stabilization of Stochastic Functional Differential Systems
Received date: 2010-02-04
Revised date: 2010-04-25
Online published: 2010-09-25
Supported by
国家自然科学基金资助项目(60874114); 中国博士后科学基金资助项目(20090450867)
In this paper,first,the concepts of mean-square uniformly asymptotic stabilization by impulses and by periodical impulses are proposed for general stochastic functional differential systems.Next,the sufficient criteria for mean-square uniformly asymptotic stabilization of the stochastic systems by periodical impulses are put forward by using Lyapunov functions and the asymptotic stability of a scalar linear impulsive delay differential system.Then,a specific design method of impulsive controllers is presented,in which the impulse functions are chosen as proportional functions,and the intervals of impulsive moment depend on system parameters and the selected proportional coefficients of impulse functions.Finally,a numerical example is presented to verify the effectiveness of the designed controllers.
Yao Feng-qi Deng Fei-qi Peng Yun-jian . Impulsive Stabilization of Stochastic Functional Differential Systems[J]. Journal of South China University of Technology(Natural Science), 2010 , 38(9) : 35 -39 . DOI: 10.3969/j.issn.1000-565X.2010.09.007
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