多时滞离散广义系统的渐近稳定性判据

Criteria for Asymptotic Stability of Discrete-Time Singular Systems with Multiple Time-Delays

对多时滞离散广义系统 ,给出了两个渐近稳定性判据。其中之一可直接检验 (如l<1) ,另一个可通过边界检验。在检验系统渐近稳定性时 ,我们首先采用直接检验方法 ,如果直接检验不成功 ,再采取边界检验方法。给出的判据容易测试 ,便于工程上应用 ,所举的例子说明了该方法的实用性。这些稳定性判据还可扩展到扰动系统。

This paper proposes two asymptotic stability criteria for discrete-time singular systems with multiple time-delays. One is a direct test (i.e., test l<1), and the other is a boundary test. The asymptotic stability is first checked by the direct test. If it fails, we can resort to the boundary test. These criteria are easy for test, and convenient for the application in the engineering. An example is given to illustrate the practicality of the proposed method. These stability criteria can be extended to the perturbed systems.