| 随机差分系统的常返性质 |
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| 引用本文： | 胡良剑,吴让泉.随机差分系统的常返性质[J].东华大学学报(自然科学版),1996(3). |
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| 作者姓名： | 胡良剑 吴让泉 |
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| 作者单位： | 中国纺织大学基础科学部
(胡良剑)，中国纺织大学基础科学部(吴让泉) |
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| 摘 要： | 本文给出随机差分系统的解的常返性和瞬变性更为细致的概念。结果表明,状态空间的点按随机系统常返性质的分类对应于相应确定性控制系统控制性质的分类。
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| 关 键 词： | 弱瞬变 强瞬变 强常返 弱常返 控制集 不变集 |
ON THE RECURRENCE THEORY OF STOCHASTIC DIFFERENCE SYSTEMS |
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| Hu Liangjian,Wu Rangquan.ON THE RECURRENCE THEORY OF STOCHASTIC DIFFERENCE SYSTEMS[J].Journal of Donghua University,1996(3). |
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| Authors: | Hu Liangjian Wu Rangquan |
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| Institution: | Department of Basic Sciences |
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| Abstract: | This paper gives more delicate definitions of recurrent and transient points to characterize the motion of the solutions of stochastic difference equations. We obtain that the classification of the points in state space w.r.t recurrence theory of a stochastic system corresponds to the control-theoretic classification to the associated deterministic control system. |
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| Keywords: | weak transience strong transience strong recurrence weak recurrence control set invarient set |
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