Practical φ_0-stability of stochastic differential equations and corresponding stochastic perturbation theory

Practical φ_0-stability of stochastic differential equations and corresponding stochastic perturbation theory

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摘要 The notions of practical φ0-stability were introduced for stochastic differential equations. Sufficient conditions on such practical properties were obtained by using the comparison principle and the cone-valued Lyapunov function methods. Based on an extended comparison theorem, a perturbation theory of stochastic differential systems was given. The notions of practical φ 0-stability were introduced for stochastic differential equations. Sufficient conditions on such practical properties were obtained by using the comparison principle and the cone-valued Lyapunov function methods. Based on an extended comparison theorem, a perturbation theory of stochastic differential systems was given.

作者赵平康宇宗西举

机构地区 School of Control Science and Engineering Department of Automation

出处《中南大学学报（自然科学版）》 EI CAS CSCD 北大核心 2009年第S1期235-238,共4页 Journal of Central South University:Science and Technology

基金 Project (60704007) supported by the National Natural Science Foundation of China

关键词 PRACTICAL φ 0-stability STOCHASTIC differential equation comparison principle perturbation theory practical φ 0-stability stochastic differential equation comparison principle perturbation theory

分类号 O211.63 [理学—概率论与数理统计]

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参考文献15

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中南大学学报（自然科学版）

2009年第S1期

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Practical φ_0-stability of stochastic differential equations and corresponding stochastic perturbation theory

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