Lurie间接控制大系统的绝对稳定性
Absolute stability of Lurie indirect control large-scale systems
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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.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 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.