| 引用本文: | 冯昭枢 ,刘永清.具有随机输入的混合复合动态系统的稳定性判据[J].控制理论与应用,1991,8(2):179~185.[点击复制] |
| Feng Zhaoshu, Liu Yongqing.Stability Criteria for Hybrid Composite Dynamical Systems with Random Inputs*[J].Control Theory and Technology,1991,8(2):179~185.[点击复制] |
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| 具有随机输入的混合复合动态系统的稳定性判据 |
| Stability Criteria for Hybrid Composite Dynamical Systems with Random Inputs* |
| 摘要点击 1152 全文点击 705 投稿时间：1989-09-11 修订日期：1990-11-06 |
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| DOI编号 |
| 1991,8(2):179-185 |
| 中文关键词 混合复合系统 随机输入 随机系统 稳定性判据 |
| 英文关键词 hybrid composite systems random input stochastic system stability criteria |
| 基金项目 |
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| 中文摘要 |
| 本文给出了如图1所示的具有随机输入的混合动态系统的稳定性分析，所讨论的系统由一个算子L和一个随机微分方程描述的方块组成。对于这样的系统，我们建立了随机吸引性、随机渐近稳定性、随机有界性、大范围随机渐近稳定性、p吸引性、渐近p稳定性、一致p有界性和大范围渐近p稳定性的判据。这些判据包含了一些假设，这些假设描述了算子L和整个系统的定性I/O性质和表示了由随机微分方程描述的子系统的性质。 |
| 英文摘要 |
| The stability analysis is given for hybrid composite dynamical systems with random inputs which are depicted in Fig.1, consisting of an operator L and a block described by a system of stochastic differential equations. Criteria are established for attractivity in probability, asymptotic stability in probability, uniform boundedness in probability, asymptotic stability in probability in the large, p-attractivity, asymptotic p-stability, uniform p-boundedness, and asymptotic p-stability in the large for such systems. These criteria involve hypotheses which characterize the qualitative I/O properties of the operator L and of the entire system, and which express the Lyapunov stability properties of the subsystem described by the indicated stochastic differential equations. |
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