期刊
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
卷 22, 期 7, 页码 763-777出版社
WILEY-BLACKWELL
DOI: 10.1002/rnc.1726
关键词
Razumikhin-type theorem; stability with general decay rate; stochastic functional differential equations; the Ito formula
资金
- National Natural Science Foundation of China [11001091]
- Chinese University Research Foundation [2010MS129]
This paper establishes Razumikhin-type theorems on general decay stability for stochastic functional differential equations. This improves existing stochastic Razumikhin-type theorems and can make us examine the stability with general decay rate in the sense of the pth moment and almost sure. These stabilities may be specialized as the exponential stability and the polynomial stability. When the almost sure stability is examined, the conditions of this paper may defy the linear growth condition for the drift term, which implies that the theorems of this paper can work for some cases to which the existing results cannot be applied. This paper also examines some sufficient criteria under which this stability is robust. To illustrate applications of our results clearly, this paper also gives two examples and examines the exponential stability and the polynomial stability, respectively. Copyright (C) 2011 John Wiley & Sons, Ltd.
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