摘要
针对一类多面体不确定线性系统给出一种新的鲁棒D-稳定的充分条件,该条件可以由一族线性矩阵不等式(LM Is)的可行解得到,而这族LM Is可以由多面体的顶点描述。通过引入参数相关Lyapunov函数使得该条件的保守性降低,与其他条件相比这个条件具有更广泛的适用性,推广并改进了现有成果。
In this paper,a new sufficient LMIs condition for the robust gstability is established with respect to polytopic uncertain systems. The robust stability of the uncertain systems can be verified by means of the feasibility of a set of LMIs described only in terms of the vertices of the polytopic domain. This approach is less conservative than quadratic stability by using a parameter-dependent Lyapunov function,and extends the results of the related references.
出处
《河北科技大学学报》
CAS
2006年第2期119-121,共3页
Journal of Hebei University of Science and Technology
基金
河北省自然科学基金资助项目(603384)
作者简介
仇计清（1956-）,男,河北井陉人,教授,博士,主要从事鲁棒控制、模糊复分析、可拓数学等方面的研究.
