摘要
考虑了时变线性中立型系统的H∞性能,利用线性矩阵不等式给出了系统扰动衰减具有H∞范数约束的鲁棒稳定性条件.系统在H∞范数有界约束下,给出了时变中立型系统Lyapunov稳定意义下的等价时滞系统,说明了伪二次稳定意义下的不确定性中立型系统等价于一个在Lyapunov稳定意义下的标准线性时滞系统.
The present paper concerns with robust H∞performance for neutral delay systems with involving an unknow time-delay and time-varying norm-bounded parameter uncertainties. Based on linear matrix inequality, the sufficient criteria are proposed which assure the quadratic stability of the systems as well as an H~ -norm bound. In the sense of Lyapunov stability with H∞ -norm bound restriction,a delay system without delayed-state derivative term is given,which is equivalent to a neutral system. And a linear standard delay system that is Lyapunov stable with H∞ -norm bound is presented, which is equivalent to an uncertain linear neutral system in the sense of pseudo-quadratically stability with H∞ -norm bound.
出处
《应用数学》
CSCD
北大核心
2007年第3期621-626,共6页
Mathematica Applicata
基金
陕西省自然科学研究计划项目(2006A13)
陕西省教育厅专项科技计划项目(06JK149)
