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带Markov调制的随机微分延迟方程的稳定性

时间:2021-12-13 08:56:30 数理化学论文 我要投稿

带Markov调制的随机微分延迟方程的稳定性

The main aim of this paper is to investigate the pth moment exponential stability of stochastic differential delay equations with Markovian switching. A specific Lyapunov function is introduced to obtain the required stability, and the almost sure exponential stability for the delay equations is discussed subsequently.

作 者: 戴伟星 胡适耕 DAI Wei Xing HU Shi Geng   作者单位: Department of Mathematics, Huazhong University of Science and Technology, Hubei 430074, China  刊 名: 数学研究与评论  ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年,卷(期): 2008 28(3)  分类号: O211.63  关键词: Lyapunov function   delay equation   generalized It6's formula   Brownian motion   Markov chain