ABSTRACT

In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations is studied. The analysis of the global practical uniform asymptotic stability, the global practical uniform pth moment exponential stability, as well as the global practical uniform exponential stability with respect to a part of the variables of SDEs are carried out by using the Lyapunov techniques. Some illustrative examples to show the usefulness of the stability with respect to a part of variables notion are also provided.

中文翻译：

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随机微分方程部分变量的实际稳定性

摘要

本文研究了非线性随机微分方程部分变量的实际稳定性。利用Lyapunov技术对SDE部分变量的全局实际一致渐近稳定性、全局实际一致p阶矩指数稳定性以及全局实际一致指数稳定性进行了分析。还提供了一些说明性示例，以显示稳定性对于部分变量概念的有用性。