【摘要】 本文研究一类线性定常离散时滞大系统的无条件稳定性问题。首先利用m阵的性质,给出了一般离散时滞系统无条件渐近稳定的充分条件;接着建立了适应于离散时滞系统的比较原理,最后用向量李雅普诺夫函数法和集结(aggregatioa)方法,推得了线性定常离散时滞大系统无条件稳定的充分条件。这一条件归结为判定一个阶数等于子系统个数的实矩阵是否是一个m阵。一个简单的数值例子说明了本文得出的结果的应用。更多还原

【Abstract】 In this paper the problem of unconditional stability for a class of linear time - invariant large-scale discrete systems with delays is investigated. By using the properties of m matrices, a sufficient condition of unconditional stability for low-order discrete systems with delays is first derived. Then, a comparison principle is presented for discrete systems with delays. Finally, a sufficient condi tion of unconditional stability for large-scale systems is established by using the aggregation technique based on vector Lyapunov functions. A numerical example is also given to illustrate the applicability of the stability criterion obtained in this paper.更多还原