时滞不确定随机系统的鲁棒稳定性Robust Stability of Uncertain Stochastic Systems with Time-Delays
高存臣,崔红艳
摘要(Abstract):
主要研究了带有时滞的不确定随机系统的均方鲁棒指数稳定性问题。根据有关线性矩阵不等式理论,结合李亚普诺夫函数法,充分利用系统的扩散项,建立了1个新的时滞相关稳定判据,使文中的时滞不确定随机系统是鲁棒均方指数稳定的。给出了具体的数值例子说明了研究结果的可行性和有效性。
关键词(KeyWords): 随机系统;时滞;线性矩阵不等式;时滞相关指数稳定性
基金项目(Foundation): 国家自然科学基金项目(60974025);; 山东省自然科学重点基金项目(Z2006G11)资助
作者(Author): 高存臣,崔红艳
DOI: 10.16441/j.cnki.hdxb.2011.z2.034
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