ON ESTIMATION OF TRANSIENT STOCHASTIC STABILITY OF LINEAR SYSTEMS
ON ESTIMATION OF TRANSIENT STOCHASTIC STABILITY OF LINEAR SYSTEMS
复制标题
线性系统暂态随机稳定性的估计
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
S. Raha
中科院分区：
文献类型：
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作者：
Sk. Safique Ahmad;S. Raha
在这项工作中，我们提出了一种估计线性Ito随机微分方程型随机系统暂态稳定/镇定的方法。这一措施导致了随机Brockett形式的暂态稳定问题的有用和易于处理的计算。讨论了随机对数范数的一些性质和界估计。以不稳定平衡系统和非正态系统为例，说明了随机对数范数的有效性。
In this work, we propose a measure for estimating the transient stability/stabilization of stochastic systems modeled with linear Ito Stochastic Differential Equations. The measure leads to useful and tractable computation of the stochastic Brockett version of the transient stabilization problems. Some properties and bound estimates of the measure which we call the Stochastic Logarithmic Norm are also discussed. The usefulness of the Stochastic Logarithmic Norm is illustrated with examples of unstable equilibrium systems and a non-normal system.