摘要
利用复线性变换、加权向量Ｌｙａｐｕｎｏｖ函数和比较原理，得到受扰动离散线性关联大系统圆域稳定性的充分条件。
Based on a bilinear transformtion from a specified circular region onto the unit circle and weighted vector norm form Lyapunov functions, the D stability is studied for discrete linear large scale systems while being subjected to interconnections and perturbations. Sufficient conditions for D stability are presented to guarantee that all the eigenvalues of the whole discrete linear large scale systems lie within the disc D (α,r) . Under these conditions, the permitted perturbation limitations which ensure the D stability of the systems can be estimated.
