Lurie间接控制大系统的绝对稳定性  

Absolute stability of Lurie indirect control large-scale systems

作　　者：郭俊伶[1] 廖福成[1] 

机构地区：[1]北京科技大学应用科学学院,北京100083

出　　处：《北京科技大学学报》2006年第7期704-708,共5页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金重大研究计划资助项目(No.90304007)

摘　　要：利用大系统分解方法和Lyapunov第二方法研究了一类Lurie间接控制大系统,结合Metzler矩阵的性质,建立了这类Lurie间接控制大系统的稳定性与低维矩阵稳定之间的关系,从而得到了这类Lurie间接控制大系统绝对稳定的充分条件.其结论判断起来方便、简捷.应用实例说明了该方法的优越性.By using the large-scale system technique and Lyapunov second method, this paper studies a class of Lurie indirect control large-scale systems, and builds up a relationship between this kind of systems and the stability of the reduced dimensionality in accordance with the Metzler matrix. The sufficient conditions of the absolute stability about this Lurie indirect control system are obtained. The presented method is simple, and its superiority is shown by an example.

关 键 词：LURIE系统 绝对稳定性 LYAPUNOV函数 Metzler矩阵 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]