具重叠非线性项的一般离散Lurie系统的绝对稳定性

The Absolute Stability for General Discrete Lurie Systems with Superposition of Nonlinearities

在本文中,利用关于某个变元绝对稳定的概念,我们对具重叠非线性项的一般离散Lurie控制系统得到了绝对稳定的充要条件,并应用离散Gronwall不等式,给出两个实用的充分条件.一个数值例子说明了本文结果的有效性.

In this paper, by applying the concept of absolute stability about the certain variable, the necessary and sufficient conditions of absolute stability are obtained, which are about general discrete Lurie systems with superposition of nonlinearities. In virtue of discrete gronwall inequality, some sufficient conditions is also obtained. A numerical example illustrates the effectiveness of the results.