非线性系统
理论(学习稳定性)
数学
固定点
应用数学
不动点定理
计算机科学
数学分析
物理
量子力学
机器学习
作者
Jiaju Yu,Shuanghe Yu,Juan Li,Yan Yan
标识
DOI:10.1080/00207179.2018.1430900
摘要
To solve the fixed-time stability problem for stochastic systems, which has not been investigated due to the difficulty caused by the existence of stochastic, the fixed-time stability is investigated for stochastic nonlinear systems described by the Ito^ differential equation in this note. The main contributions exist in: (1) A new concept, fixed-time stable in probability, is proposed, and the detailed definition is given. (2) A criterion theorem is proposed to judge the fixed-time stable in probability, in addition, several corollaries are given for proving the fixed-time stability in probability for stochastic nonlinear systems. Two simulation examples are given to verify the proposed theoretical results in this paper.
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