。708· 北京科技大学学报 2006年第7期 论，1988,8(3)：411 134 [14 Beman A,Plemmons R J.Nonnegative Matrices in the 【5]廖晓昕，胥布工.判定矩阵稳定、正定以及为M矩阵的统 Mathematical Sciences.New York:Academic Press.1979: 一简化条件.控制理论与应用，1999.16(2)：301 Absolute stability of Lurie indirect control large-scale systems GUO Junling,LIAO Fucheng Appled Science School.University of Science and Technology Beijing.Beijng 100083.China ABSTRACT 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 relat ionship betw een this kind of systems and the stability of the reduced dimensionality in accordance with the Metzler matrix.The sufficient condi- tions of the absolute stability about this Lurie indirect control system are obt ained.The presented method is simple,and its superiority is shown by an example. KEY WORDS Lurie sy stem;absolute stability:Ly apunov function;Metzler matrix论, 1988, 8( 3) :411 [ 14] Berman A, Plemmons R J.Nonnegative Matrices in the Mathematical Sci ences.New York:Academi c Press, 1979: 134 [ 15] 廖晓昕, 胥布工.判定矩阵稳定、正定以及为 M 矩阵的统 一简化条件.控制理论与应用, 1999, 16( 2) :301 Absolute stability of Lurie indirect control large-scale systems GUO J unling , LIAO Fucheng Applied S cience School, University of Science and T echnology Beijing, Beijing 100083, China ABSTRACT By using the large-scale system technique and Ly apunov second method, this paper studies a class of Lurie indirect control large-scale systems, and builds up a relationship betw een this kind of sy stems and the stability of the reduced dimensionality in accordance with the Metzler matrix .The sufficient condi￾tions of the absolute stability about this Lurie indirect control system are obtained .The presented method is simple, and its superiority is show n by an ex ample. KEY WORDS Lurie sy stem ;absolute stability ;Ly apunov function ;Metzler matrix · 708 · 北 京 科 技 大 学 学 报 2006 年第 7 期