| 线性I随机系统部分变元的强稳定性 |
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| 引用本文： | 蹇继贵,沈轶,廖晓昕. 线性I随机系统部分变元的强稳定性[J]. 华中科技大学学报(自然科学版), 2003, 0(8) |
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| 作者姓名： | 蹇继贵 沈轶 廖晓昕 |
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| 作者单位： | 华中科技大学控制科学与工程系(蹇继贵，沈轶)，华中科技大学控制科学与工程系(廖晓昕) |
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| 基金项目： | 国家自然科学基金资助项目 (6 0 2 74 0 0 7，6 0 0 74 0 0 8)，高等学校博士学科专项基金资助项目(2 0 0 1 0 4 870 0 5 ) |
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| 摘 要： | 运用随机线性系统的柯西矩阵及其截断矩阵 ,通过引进随机线性系统左截柯西矩阵和右截柯西矩阵 ,讨论了线性It^o随机系统部分变元的几乎必然强稳定性 ,得出了该系统只依赖于左截柯西矩阵的有界性和右截柯西矩阵的渐近性的各种a .s强稳定性 ,包括强稳定、强一致稳定、强渐近稳定、强一致渐近稳定及强指数稳定之间的等价条件 ,推广了已有文献的结果
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| 关 键 词： | I随机微分方程 部分变元 几乎必然强稳定 柯西矩阵 |
Strong stability of partial variables in Itstochastic linear systems |
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| Jian Jigui Shen Yi Liao Xiaoxin Jian Jigui Doctoral Candidate, Dept. of Control Sci. , Eng.,Huazhong Univ. of Sci. , Tech.,Wuhan ,China.. Strong stability of partial variables in Itstochastic linear systems[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2003, 0(8) |
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| Authors: | Jian Jigui Shen Yi Liao Xiaoxin Jian Jigui Doctoral Candidate Dept. of Control Sci. & Eng. Huazhong Univ. of Sci. & Tech. Wuhan China. |
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| Affiliation: | Jian Jigui Shen Yi Liao Xiaoxin Jian Jigui Doctoral Candidate, Dept. of Control Sci. & Eng.,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
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| Abstract: | Left and right interceptive Cauchy matrices were introduced by using Cauchy matrices and its interceptive Cauchy ones. Based on the matrices, almost sure strong stability with respect to partial variables in It stochastic linear system was studied. Some equivalent criteria for different kinds of a.s. strong stability of the system were obtained. These criteria only depended on the boundedness of the left interceptive Cauchy matrices and asymptotic properties of the right ones, including strong stability, strong uniform stability, strong asymptotic stability, strong uniformly asymptotic stability and strong exponential stability. |
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| Keywords: | It stochastic differential equations partial variable almost sure strong stability Cauchy matrix |
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